{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# More calculations\n", "\n", "By now we have been only calculating properties \"on point\", but we can do\n", "more than that with `yaeos`. Here we have a few examples:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculating an isotherm\n", "\n", "Let's create a plot Pressure vs Volume at a given temperature (250 K) for a\n", "pure component. Let's use carbon dioxide." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Pressure [bar]')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from yaeos import SoaveRedlichKwong\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "n = [1.0] # mole number of CO2 [mol]\n", "Tc = [304.2] # critical temperature of CO2 [K]\n", "Pc = [73.8] # critical pressure of CO2 [bar]\n", "w = [0.2236] # acentric factor of CO2 [-]\n", "\n", "# Instantiate a Soave-Redlich-Kwong equation of state model\n", "model = SoaveRedlichKwong(Tc, Pc, w)\n", "\n", "# Calculate isotherm at 250 K\n", "t = 250 # K\n", "\n", "# pressures list (200 pressure points between 5 and 30 bar)\n", "pressures = np.linspace(5, 30, 200)\n", "\n", "# list to store the calculated volumes\n", "volumes = []\n", "\n", "for p in pressures:\n", " # Calculate volume for each pressure\n", " volume = model.volume(n, p, t, root=\"stable\")\n", " volumes.append(volume)\n", "\n", "# Make plot\n", "plt.plot(volumes, pressures)\n", "plt.xlabel(\"Volume [L]\")\n", "plt.ylabel(\"Pressure [bar]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Calculate a saturation pressure\n", "### Pure compound\n", "\n", "In the previous example we obtained an isotherm for carbon dioxide at 250 K. We\n", "can check in the plot that the saturation pressure is around 18 bar. Let's\n", "calculate the previous saturation pressure using `yaeos` and the instantiated\n", "`model`.\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'x': array([1.]),\n", " 'y': array([1.]),\n", " 'Vx': 0.04668949889514571,\n", " 'Vy': 0.9534768478027397,\n", " 'T': 250.0,\n", " 'P': 17.916706382441067,\n", " 'beta': 0.0}" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sat_point = model.saturation_pressure(z=[1.0], temperature=250.0)\n", "\n", "sat_point" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There we obtained a Python dictionary with the result of the saturation\n", "pressure calculation. In this example we have a pure compound (CO2), so we are\n", "only interested in the `P` result (the saturation pressure)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "17.916706382441067 bar\n" ] } ], "source": [ "print(sat_point[\"P\"], \" bar\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The DIPPR correlated value for the saturation pressure of CO2 at 250 K is 17.88\n", "bar, so SoaveRedlichKwong is doing a good job in this case." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Mixture\n", "\n", "Of course, in thermodynamics there is not only pure compounds, we can also\n", "use `yaeos` to calculate the saturation pressure of a mixture. Let's calculate\n", "the saturation pressure of a mixture of 50% CO2 and 50% n-butane at 250 K. But\n", "now let's use `PengRobinson78`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "from yaeos import PengRobinson78\n", "\n", "# Pure compounds properties\n", "n = [0.5, 0.5] # mole number of CO2 and n-butane [mol]\n", "Tc = [304.2, 425.1] # critical temperature of CO2 and n-butane [K]\n", "Pc = [73.8, 38.0] # critical pressure of CO2 and n-butane [bar]\n", "w = [0.2236, 0.200164] # acentric factor of CO2 and n-butane [-]\n", "\n", "\n", "model = PengRobinson78(Tc, Pc, w)\n", "\n", "\n", "# Calculate bubble point pressure\n", "bubble_point = model.saturation_pressure(z=n, temperature=250.0, kind=\"bubble\")\n", "\n", "# Calculate dew point pressure\n", "dew_point = model.saturation_pressure(z=n, temperature=250.0, kind=\"dew\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's check our results:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'x': array([0.5, 0.5]),\n", " 'y': array([0.96800305, 0.03199695]),\n", " 'Vx': 0.06509074642358809,\n", " 'Vy': 2.2963934569223667,\n", " 'T': 250.0,\n", " 'P': 8.26969042084664,\n", " 'beta': 0.0}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bubble_point" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'x': array([0.02630095, 0.97369905]),\n", " 'y': array([0.5, 0.5]),\n", " 'Vx': 0.086952189099251,\n", " 'Vy': 26.11173603222263,\n", " 'T': 250.0,\n", " 'P': 0.7816128582789726,\n", " 'beta': 1.0}" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dew_point" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In both calculations we have similar information. We have the composition of\n", "each phase `x` and `y`. In the case of bubble point the composition `x` is the\n", "same as the global composition that we provide as input, of course. And the `y`\n", "are the compositions of the vapor phase. In the case of the dew point the\n", "composition `y` is the same as the global composition that we provide as input,\n", "and the `x` are the compositions of the liquid phase.\n", "\n", "`yaeos` give us the molar volume of each phase `Vx` and `Vy` in [L / mol].\n", "\n", "Then we got the temperature (same value that we provide for the calculation).\n", "The pressure of the saturation point `P` in [bar].\n", "\n", "And finally, the `beta` value which is the mole fraction of the phase `y`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pxy diagram for a mixture\n", "\n", "We can use what we have learned to obtain a Pxy diagram for a mixture. Let's\n", "try it out with the CO2 and n-butane mixture at 250 K." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 18.0)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from yaeos import PengRobinson78\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "# Pure compounds properties\n", "Tc = [304.2, 425.1] # critical temperature of CO2 and n-butane [K]\n", "Pc = [73.8, 38.0] # critical pressure of CO2 and n-butane [bar]\n", "w = [0.2236, 0.200164] # acentric factor of CO2 and n-butane [-]\n", "\n", "\n", "model = PengRobinson78(Tc, Pc, w)\n", "\n", "# Mole compositions from 0 to 1 for CO2\n", "z_co2 = np.linspace(0.00001, 0.99999, 100)\n", "z_butane = 1.0 - z_co2\n", "\n", "t = 250 # K\n", "\n", "# storing bubble and dew points\n", "bubble_point_z_co2 = z_co2\n", "dew_point_z_co2 = []\n", "pressures = []\n", "\n", "for z in zip(z_co2, z_butane):\n", " sat_p = model.saturation_pressure(z=z, temperature=t, kind=\"bubble\")\n", "\n", " dew_point_z_co2.append(sat_p[\"y\"][0])\n", " pressures.append(sat_p[\"P\"])\n", "\n", "\n", "# Make diagram\n", "plt.plot(bubble_point_z_co2, pressures, label=\"Bubble pressures\")\n", "plt.plot(dew_point_z_co2, pressures, label=\"Dew pressures\")\n", "\n", "plt.legend()\n", "plt.title(\"Pxy CO2 - n-butane at 250 K\")\n", "plt.xlabel(\"XY-CO2\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Flash calculation\n", "\n", "Flash calculation are also supported by `yaeos`. Let's calculate a liquid-vapor\n", "flash at 250 K for the CO2 and n-butane mixture." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'x': array([0.23809283, 0.76190717]),\n", " 'y': array([0.91415847, 0.08584153]),\n", " 'Vx': 0.0772038243107673,\n", " 'Vy': 4.9596098541608855,\n", " 'P': 4.0,\n", " 'T': 250.0,\n", " 'beta': 0.38739902408801924}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Pure compounds properties\n", "n = [0.5, 0.5] # mole number of CO2 and n-butane [mol]\n", "Tc = [304.2, 425.1] # critical temperature of CO2 and n-butane [K]\n", "Pc = [73.8, 38.0] # critical pressure of CO2 and n-butane [bar]\n", "w = [0.2236, 0.200164] # acentric factor of CO2 and n-butane [-]\n", "\n", "\n", "model = PengRobinson78(Tc, Pc, w)\n", "\n", "flash = model.flash_pt(z=[0.5, 0.5], pressure=4, temperature=250.0)\n", "\n", "flash" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The result of the flash calculation is a Python dictionary with the same\n", "information as the saturation pressure calculation. We can plot the results \n", "in the Pxy diagram that we created before." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 18.0)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(bubble_point_z_co2, pressures, label=\"Bubble pressures\")\n", "plt.plot(dew_point_z_co2, pressures, label=\"Dew pressures\")\n", "\n", "# Flash result plot\n", "x = flash[\"x\"][0]\n", "y = flash[\"y\"][0]\n", "p = flash[\"P\"]\n", "\n", "# guide to the eye\n", "plt.plot([x, y], [p, p], linestyle=\"--\", color=\"gray\")\n", "\n", "# flash compositions\n", "plt.plot(\n", " x,\n", " p,\n", " marker=\"s\",\n", " linestyle=\"none\",\n", " color=\"purple\",\n", " label=\"Flash: liquid phase\",\n", ")\n", "plt.plot(\n", " y,\n", " p,\n", " marker=\"s\",\n", " linestyle=\"none\",\n", " color=\"blue\",\n", " label=\"Flash: vapor phase\",\n", ")\n", "\n", "# global composition\n", "plt.plot(\n", " 0.5,\n", " p,\n", " marker=\"s\",\n", " linestyle=\"none\",\n", " color=\"red\",\n", " label=\"Global composition\",\n", ")\n", "\n", "# Pxy diagram\n", "plt.legend()\n", "plt.title(\"Pxy CO2 - n-butane at 250 K\")\n", "plt.xlabel(\"XY-CO2\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 18)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Phase envelopes\n", "Most of times, calculating the whole lines of saturation points can be more\n", "efficient than calculating individual points while sweeping over a variable\n", "(for example, over a composition like we did before). \n", "\n", "If the interest is to calculate the whole phase diagram of a mixture, then the\n", "phase envelope methods should be the go-to.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Model definition\n", "We first define a model that will be used for all the possible calculations." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "import yaeos\n", "import matplotlib.pyplot as plt\n", "\n", "# Pure compounds properties\n", "n = [0.5, 0.5] # mole number of CO2 and n-butane [mol]\n", "Tc = [304.2, 425.1] # critical temperature of CO2 and n-butane [K]\n", "Pc = [73.8, 38.0] # critical pressure of CO2 and n-butane [bar]\n", "w = [0.2236, 0.200164] # acentric factor of CO2 and n-butane [-]\n", "\n", "model = yaeos.PengRobinson78(Tc, Pc, w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PT phase envelope calculation\n", "\n", "`yaeos` also provides a method to calculate the 2 phase envelope of a mixture.\n", "Of course, we are going to keep using the CO2 and n-butane mixture, with a \n", "global composition [0.5, 0.5]." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "env = model.phase_envelope_pt(\n", " z=[0.5, 0.5], kind=\"bubble\", max_points=600, t0=200.0, p0=1.0\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Well, to make an envelope we have to specify a global composition `z`. The\n", "`kind` of the saturation point to start the envelope calculation (use \"bubble\"\n", "or \"dew\"). The `max_point` parameters could not be set (default 300), is the\n", "maximum number of (P, T) points to calculate in the envelope. `t0` is the\n", "initial guess for the temperature of the first saturation point of the envelope\n", "of kind: `kind` (\"bubble\" in this case). And finally, `p0` is the initial guess\n", "for the pressure of the first saturation point of the envelope of kind: `kind`.\n", "\n", "The result of the envelope calculation is a Python dictionary with the keys:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['T', 'P', 'Tc', 'Pc', 'x', 'y', 'kinds'])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "env.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Being:\n", "\n", "- Ts: temperature points of the phase envelope\n", "- Ps: pressure points of the phase envelope\n", "- Tcs: critical temperatures of the phase envelope\n", "- Pcs: critical pressures of the phase envelope\n", "\n", "We can plot the phase envelope as follow:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Pressure [bar]')" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# envelope\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Envelope\")\n", "\n", "# Critical point\n", "plt.plot(\n", " env[\"Tc\"],\n", " env[\"Pc\"],\n", " marker=\"x\",\n", " linestyle=\"none\",\n", " color=\"red\",\n", " label=\"Critical point\",\n", ")\n", "\n", "plt.legend()\n", "plt.title(\"PT envelope CO2 (0.5) - n-butane (0.5)\")\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Px phase envelopes\n", "\n", "Px phase envelopes can be calculated with the `.phase_envelope_px` method" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z0 = [0, 1]\n", "zi = [1, 0]\n", "\n", "px = model.phase_envelope_px(z0=z0, zi=zi, temperature=380, p0=0.1, ds0=0.01)\n", "\n", "plt.plot(px[\"x\"][:, 0], px[\"P\"], marker=\"o\", label=\"Bubble\")\n", "plt.plot(px[\"y\"][:, 0], px[\"P\"], marker=\"o\", label=\"Dew\")\n", "plt.xlabel(r\"$x_1,y_1$\")\n", "plt.ylabel(r\"Pressure [bar]\")\n", "plt.legend()\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Tx phase envelopes\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ " WARN: possible bad root solving: -3902899490421.4790 1.0000000000000000 \n", " WARN: possible bad root solving: -23921311635284.699 1.0000000000000000 \n", " WARN: possible bad root solving: 7553330119836.1855 1.0000000000000000 \n" ] }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkYAAAGxCAYAAACHonlQAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjAsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvlHJYcgAAAAlwSFlzAAAPYQAAD2EBqD+naQAAYwJJREFUeJzt3Xd4VGX6//H3THpCMiFASOgBC0SKgiJBKaI0EXXVdVVE9OfqLgZWYXXBsiK6iLru6nct4KoLKiqWBelZEaRJkypIUSAUIaFFUkk/vz9OCkMSMpNMS/J5XddcmDNnzjyTMZk7z3M/920xDMNARERERLB6ewAiIiIivkKBkYiIiEgJBUYiIiIiJRQYiYiIiJRQYCQiIiJSQoGRiIiISAkFRiIiIiIl/L09AF9QXFzMsWPHCA8Px2KxeHs4IiIi4gDDMMjMzKRFixZYra6Z61FgBBw7dozWrVt7exgiIiJSA0eOHKFVq1YuuZYCIyA8PBwwv7ERERFeHo2IiIg4IiMjg9atW5d9jruCAiMoWz6LiIhQYCQiIlLHuDINRsnXIiIiIiUUGImIiIiUUGAkIiIiUkI5RiIiIhdQVFREQUGBt4fRIAUEBODn5+fR51RgJCIiUgnDMEhNTeXMmTPeHkqDFhkZSUxMjMfqDCowEhERqURpUBQdHU1oaKgKAHuYYRjk5ORw4sQJAGJjYz3yvAqMREREzlNUVFQWFDVp0sTbw2mwQkJCADhx4gTR0dEeWVZT8rWIiMh5SnOKQkNDvTwSKX0PPJXnpcBIRESkClo+8z5PvwdaSqtEUbHBxuQ0TmTmEh0eTM+4KPys+uHwCcVFcGgtZB2HRs2hbW+wenbHgoiI1F8KjM6TtDOFyQt2kZKeW3Ys1hbMpOHxDOnsmcQvqcKu+ZA0ATKOlR+LaAFDXob4m703LhERqTe0lHaOpbtSGT1ri11QBJCansvoWVtI2pnipZEJu+bD5/fZB0UAGSnm8V3zvTMuEZFqFBUbrNt/mnnbjrJu/2mKig1vD6laM2fOJDIy8oLnPPfcc1x++eUXPOf+++/n1ltvddm4PEGB0TleWrKHyv53LT02ecGuOvE/dL1TXGTOFF3o3UmaaJ4nIuJDknamcO3Ly7n73fU8Onsbd7+7nmtfXu7WP7Tvv/9+LBZL2a1JkyYMGTKEH374wW3PWZ8oMDrH8Yy8Ku8zgJT0XDYmp3luQGI6tLbiTJEdAzKOmueJiPiIpJ0pXluFGDJkCCkpKaSkpLBs2TL8/f256aab3PZ89YkCIyedyMyt/iRxrazjjp33vyfhu3/Bsa2aPRIRlzMMg5z8QodumbkFTJr/4wVXIZ6bv4vM3AKHrmcYzq1WBAUFERMTQ0xMDJdffjkTJ07kyJEjnDx5khUrVmCxWOwqem/btg2LxcLBgwftrvPVV19x8cUXExwczODBgzly5EiF53rnnXdo3bo1oaGh3HnnnaSnp1c5ruLiYqZOnUpcXBwhISF069aNL7/80qnX5m5KvnZSdHiwt4fQ8DRq7th5qTvMG0CQzdyxFtcH2vWB5p3Bqr8DRKTmzhYUEf/s/1xyLQNIzcily3NfO3T+rucHExpYs4/srKwsZs2axUUXXeRUscqcnBymTJnChx9+SGBgII888gh33XUX3333Xdk5+/bt4/PPP2fBggVkZGTw4IMP8sgjj/Dxxx9Xes2pU6cya9Yspk+fzsUXX8yqVau49957adasGf369avR63M1BUbnaB4RxKm8yjNZLECMzdy6Lx7Wtre5+ywjhSrfnbBm0HssHPrOXFLLS4eflpg3gJDG0PYaiOsL7a6FZp0UKIlIvbVw4UIaNWoEQHZ2NrGxsSxcuBCrE7/3CgoKePPNN7n66qsB+OCDD+jUqRMbN26kZ8+eAOTm5vLhhx/SsmVLAN544w2GDRvGP/7xD2JiYuyul5eXx4svvsg333xDQkICAO3bt2fNmjW88847Cox80cShHXn8q5+xYP/xW1rBaNLweNUz8garn7kl//P7oKp3Z9g/zC371/wJigohdTscXAPJq+HwOjj7K+xZaN4AQpuYAVK7Pmaw1PQSUCE3EbmAkAA/dj0/2KFzNyancf+M76s9b+YDVzn0B3dIgHP12q677jqmTZsGwK+//srbb7/N0KFD2bhxo8PX8Pf356qrrir7umPHjkRGRrJ79+6ywKhNmzZlQRFAQkICxcXF7N27t0JgtG/fPnJychg4cKDd8fz8fK644gqnXp87KTA6x8D4GKY1Cq9Qx6i5LZjnVMfIu+Jvhjs/rKKO0Uv2dYz8/KFlD/N2zaNQVADHtsHBVWagdGQD5JyGXfPMG0BYtBkoxfWBdn2hSQcFSiJix2KxOLyc1efiZsTagklNz73gKkSfi5u55Q/usLAwLrroorKv33vvPWw2G++++y6DBg0CsMtb8kS7jaysLAAWLVpkF0yBmRPlKxQYnWdI51gGxsewMfk0D3+0mczcQv5xRzeuubipt4cm8TdDx2HOV772C4DWV5m3Pn+Gwnw4tsUMkg6ugiMbIfsE/DjHvAGEx5bMJvUxA6bGcQqURMRhflYLk4bHM3rWFp9YhbBYLFitVs6ePUuzZs0ASElJoXHjxoCZfH2+wsJCNm3aVDY7tHfvXs6cOUOnTp3Kzjl8+DDHjh2jRYsWAKxfvx6r1cqll15a4Xrx8fEEBQVx+PBhn1k2q4wCo0r4WS0kdGjKgI7RzNt2jA3JpxUY+Qqrnxms1IZ/ILTpZd76PQGFefDLJji42gyWftkImSmw43PzBhDRqjyRO64PRLap/WsRkXptSOdYpt3bvcIqRIwHuink5eWRmpoKmEtpb775JllZWQwfPpyLLrqI1q1b89xzzzFlyhR++ukn/vGPf1S4RkBAAGPHjuVf//oX/v7+jBkzhl69epUFSgDBwcGMGjWKV199lYyMDP70pz9x5513VlhGAwgPD+fxxx9n3LhxFBcXc+2115Kens53331HREQEo0aNctv3wxkKjC6gd4cmzNt2jLX7TzPe24MR9/EPgnbXmLf+E6HgrDmLdHC1maf0yybI+AW2f2reACLbnjOj1AdsLS/8HCLSIJWvQni2/2ZSUhKxsWbgFR4eTseOHfniiy/o378/AJ9++imjR4+ma9euXHXVVfztb3/jt7/9rd01QkNDmTBhAvfccw9Hjx6lT58+vP/++3bnXHTRRdx2223ceOONpKWlcdNNN/H2229XOa4XXniBZs2aMXXqVA4cOEBkZCTdu3fnqaeecu03oBYshrPFEeqhjIwMbDYb6enpRERElB0/kpZDn1e+xd9qYfukQYQFKY5skPKzzbyk5NVmsHR0Cxjn1UmKam8GSKXBUnjFv5ZEpO7Izc0lOTmZuLg4goNVpsWbLvReVPX5XRv6pL+A1lGhtGocwi+/nuX7g2n0vzTa20MSbwgMgw4DzBtAXiYc3lCezJ2yDdIOmLctH5jnNLm4fDapXR9o1MxrwxcREccpMKpG7w5N+HzTL6zbf1qBkZiCwuHiG8wbQG46HFpXsvS2GlJ+gNM/m7dN/zHPadaxfDap7bUQ5niRNRER8RwFRtXo3aEpn2/6hbX7T3t7KOKrgm1w6RDzBmbNpENry5feju+Ek3vM2/fvmuc073xOoNTbLEApIiJep8CoGgkdzL/sdx5LJz2nAFtogJdHJD4vpLFZVqDjMPPr7NNmRe7SXW8nd5vB0vGdsGEaYIGYLiVVuftA2wQz2BIREY9TYFSN5hHBdGgWxv6T2axPPs3gy5RUK04Ka2LWYCotQpl1snzZ7eAaOPUTpP5g3ta9CRYrxF5eUnCyr1lWICjcqy9BRKShUGDkgN4dmrL/ZDbr9iswEhdo1Aw632beADJTS9qXrDKDpbQDZgHKY1tg7b/A4gctu5ckcl9rBkqBYd59DSIi9ZQCIwf07tCEj9YfYu3+U94eitRH4THQ5Q7zBpB+1AyUSne9nTkEv3xv3tb8E6wBZruT0l1vrXtCQIh3X4OISD2hwMgBvdqbeUY/Hc/iZGYezcJ9p6eL1EO2ltDtd+YN4MzhkkTuNeaMUvoROLLevK36O/gFQqurypO5W11lFq0UERGnWb355FOnTuWqq64iPDyc6Ohobr31Vvbu3VvhvHXr1jFgwADCwsKIiIigb9++nD17tuz+tLQ0RowYQUREBJGRkTz44INlzepcoXFYIJ1izcJR6w5od5p4WGQbuGIE/GYaPLYD/rQNbn4Dutxp9nQryjeTu1e+BDOHwUtt4IPhsPLvcHi92RtOREQc4tXAaOXKlSQmJrJ+/XqWLl1KQUEBgwYNIjs7u+ycdevWMWTIEAYNGsTGjRv5/vvvGTNmDFZr+dBHjBjBjz/+yNKlS1m4cCGrVq3i4YcfdulYe5fsTlun5TTxJosFouKg+31w+7swfjeM3QI3vQ6db4ewaCjMNfOVvv0b/GcwvNwWPrwVVv8DjnwPRe7voi0i5yguMmd9d3xp/ltcVP1jauH+++/HYrFgsVgICAigefPmDBw4kP/85z8UFxe79bnrA59qCXLy5Emio6NZuXIlffv2BaBXr14MHDiQF154odLH7N69m/j4eL7//nuuvPJKwOwRc+ONN/LLL7+Udfy9EEdKii/bfZwHP9hE2yahrHziuhq+QhE3Mwxzl1vyqpKltzWQc14wH9gI2iSU7HrrAzHdwE+r6iLncllLkF3zIWkCZBwrPxbRAoa8XL5T1cXuv/9+jh8/zowZMygqKuL48eMkJSUxdepU+vTpw/z58/H3rzs/855uCeLVGaPzpaenAxAVFQXAiRMn2LBhA9HR0fTu3ZvmzZvTr18/1qxZU/aYdevWERkZWRYUAdxwww1YrVY2bNhQ6fPk5eWRkZFhd6tOadO/Q6dz+OXXnNq8TBH3sVig2aXQ8yG48wN4Yh+MXgdDX4GON5k1lvKzYN9S+GYSvDsAXomDT34Ha9+EY9vc/tesSIOxaz58fp99UASQkWIe3zXfbU8dFBRETEwMLVu2LGvSOm/ePJYsWcLMmTMBOHPmDL///e9p1qwZERERDBgwgO3btwPm57Gfnx+bNm0CoLi4mKioKHr16lX2HLNmzaJ169Zuew3e4jOBUXFxMY899hjXXHMNnTt3BuDAgQMAPPfcczz00EMkJSXRvXt3rr/+en7++WcAUlNTiY62b9Xh7+9PVFQUqamplT7X1KlTsdlsZTdH3tjw4AC6tDSL7q1TFWypKywWaB4PV/8B7voYnjgAf1wDg6fCpTdCkA3yMuCnJPj6afh3P3ilPXx6D6yfBqk7QVPvIibDMJtKO3LLzYAlfwEqW5QpOZY0wTzPkeu5YHFnwIABdOvWjTlz5gDw29/+lhMnTrBkyRI2b95c9vmalpaGzWbj8ssvZ8WKFQDs2LEDi8XC1q1by3J4V65cSb9+/Wo9Ll/jM3NpiYmJ7Ny50242qHQt9A9/+AMPPPAAAFdccQXLli3jP//5D1OnTq3Rcz355JOMHz++7OuMjAyHgqPeHZqw7cgZ1h04zW+vrH9RsjQAVqtZZTumCyQ8Ys4Opf5QUkdptdnKJPcM7F1k3gBCoqDdNdCur7n01qyjGXCJNDQFOfBi9ekZjjHMmaSXHPwseeqYS+qXdezYkR9++IE1a9awceNGTpw4QVCQuYv11Vdf5auvvuLLL7/k4Ycfpn///qxYsYLHH3+cFStWMHDgQPbs2cOaNWsYMmQIK1as4C9/+Uutx+RrfCIwGjNmTFnSdKtWrcqOx8bGAhAfH293fqdOnTh8+DAAMTExnDhxwu7+wsJC0tLSiImpvBhjUFBQ2f8IzujdoSlvr9jPuv2nMQwDiz4cpK6z+kGLK8xb77FQVAgp280aSgfXmM1xz6bB7gXmDSCsmZmf1K6kjlLTixUoidQRpZ9d27dvJysriyZN7Btanz17lv379wPQr18/3n//fYqKili5ciWDBg0iJiaGFStW0LVrV/bt20f//v298Crcy6uBkWEYjB07lrlz57JixQri4uLs7m/Xrh0tWrSosIX/p59+YujQoQAkJCRw5swZNm/eTI8ePQBYvnw5xcXFXH311S4db4+2jQn0s5KSnsvB0znENVX1Yaln/PyhVQ/zdu04cwfbsa3lVbkPb4Dsk/DjXPMG0CimPJG7XR+Iaq9ASeqngFBz5sYRh9bCx3dUf96IL81G0o48twvs3r2buLg4srKyiI2NLVsqO1dkZCQAffv2JTMzky1btrBq1SpefPFFYmJieOmll+jWrRstWrTg4osvdsm4fIlXA6PExEQ++eQT5s2bR3h4eFlOkM1mIyQkBIvFwhNPPMGkSZPo1q0bl19+OR988AF79uzhyy+/BMzZoyFDhvDQQw8xffp0CgoKGDNmDHfddZdDO9KcERLoxxVtItmQnMba/acUGEn95xdgVtZu3RP6Pg6FeXB0c0nBydVwZCNkpcLOL80bQETL8hmluD7QuJ1XX4KIy1gsji9ndRhg7j7LSKHyPCOLeX+HAebMrQcsX76cHTt2MG7cOFq1akVqair+/v60a9eu0vMjIyPp2rUrb775JgEBAXTs2JHo6Gh+97vfsXDhwnqZXwReDoymTZsGUGEqbsaMGdx///0APPbYY+Tm5jJu3DjS0tLo1q0bS5cupUOHDmXnf/zxx4wZM4brr78eq9XK7bffzr/+9S+3jLl3h6ZsSE5jwfZjNAryJzo8uGzHmki95x9k/nXbtjcwAQpyzVYlB1ebwdIv30PGUfjhM/MGYGtTPpvU7lqIrCanorjI/Gs76zg0am4+l4c+OERcxupnbsn//D7Agn1wVPJ5MeQlt/2/nZeXR2pqaoXt+jfddBP33XcfVquVhIQEbr31Vl555RUuueQSjh07xqJFi/jNb35TttO7f//+vPHGG9xxhzn7FRUVRadOnfjss89466233DJ2b/P6UpojJk6cyMSJE6u8Pyoqik8++cRVw7ogv5J9fOsPpLH+QBoAsbZgJg2PZ0jnWI+MQcRnBASbQU9cH7gOyM+BXzaWzygd3Qzph2Hbx+YNzBmkdn0grq/5b8Q5PzdeqPki4jbxN8OdH1bx//RLbv1/OikpidjYWPz9/WncuDHdunXjX//6F6NGjSorkLx48WKefvppHnjgAU6ePElMTAx9+/alefPmZdfp168fr7/+ut0ERv/+/dm+fXu9zC8CHyvw6C2OFohK2pnC6FlbKkyKls4VTbu3u4IjkXPlZZk93Up3vR3bCsZ5dZKaXGTOJAWEmiUCqvoJu/NDBUfiMS4r8AiaBa0lTxd49IldaXVBUbHB5AW7qqxIYQEmL9jFwPgYLauJlApqBBfdYN7ArNlyeH35rreU7XB6n3mrUslPWNJE6DhMHyhS91j9zFlVqRMUGDloY3IaKem5Vd5vACnpuWxMTiOhQ5MqzxNp0IIj4JJB5g3g7Bk4vA62zYbdX13ggYaZu3RorT5gRMStfKbyta87kVl1UFST80QECImES4dC/HDHzl/2nFkmID+72lNFRGpCM0YOig53bI3Z0fNE5ByNmld/DsAvm+CL+8E/BC4eCPG3wCWDISjcrcMTkYZDgZGDesZFEWsLJjU9t6qKFMTYzK37IuKktr2rr/kS1hS63Q2758OvB81/d88HvyC46PqSIGmIOQsl4iLan+R9nn4PtJTmID+rhUnDzdYk56dWl349aXi8Eq9FaqK05gtQ5U/YsH/CoBfgT9vgD6uhz+PmjraiPNi7GOb+Af5+EXz8W9g6C3LSPPgCpL4JCAgAICcnx8sjkdL3oPQ9cTdt18e57X5JO1OYvGCXXSJ200aB/O3WztqqL1JbldYxall1zRfDgBO7Ydc82PUVnNxTfp/V36yVFH8LdLzJnHEScUJKSgpnzpwhOjqa0NBQ9cf0MMMwyMnJ4cSJE0RGRpb1Tz2XO7brKzDC+W9sUbHBxuQ0Xlqym+2/pDPmug48PrijB0Yq0gDUpubLyb1mcLVrHhzfUX7cYjVrJcXfAh2HQ7iDOU3SoBmGQWpqKmfOnPH2UBq0yMhIYmJiKg1MFRi5SU2/sV9u/oXHv9hOfGwEix/VFmIRn3J6f8lM0jxI2XbOHRYz2Iq/FToNt6+8LVKJoqIiCgoKvD2MBikgIAA/v6r/MFJg5CY1/caezsrjyinfYBiwduIAWkSGuHGUIlJjvx4sn0k6usn+vtZXmzNJnW6uvo+biPgUBUZuUptv7B3T1rLp0K+8cGtnRvZq66YRiojLnDkCuxeYQdKR9fb3texRHiRFxXlnfCLiMAVGblKbb+y0Fft5OWkP/S5pxgf/r6ebRigibpFxDHYvNIOkQ99hVyogtpsZJMXfCk06eGuEInIBCozcpDbf2J+PZzLwtVUE+lnZ+uxAwoJUGkqkTso8DntKgqSDq8EoLr+veeeSIOkWaHap98YoInYUGLlJbb6xhmHQ7+8rOJyWw/R7ezCkc4ybRikiHpN9CvYsMoOk5JVQXFh+X7OO5UFSdDxoC7eI17gjMFKBx1qyWCxc3ykagGW7j3t5NCLiEmFNoccoGDkHHv8ZbnkbLh4M1gCzVtLKl2Fab3jzSlj2PKRsN2sqiUidpxkjah9xfrfvFCPe20DTRoFsfOoGrKp+LVI/nT0DP/3PnEna941ZdbtU43blM0ktumsmScQDtJTmJrX9xuYXFtPjhaVk5hUy55HedG/T2A2jFBGfkpdZHiT9vBQKz5bfZ2tjVuqOvwVaXglWTc6LuIM7AiNlCrtAoL+Vvpc2Y9EPKSzbfVyBkUhDEBQOXe4wb/nZZnC0a54ZLKUfhnVvmrfwFuVBUuurHa/iLSJeoRkjXBNxzt36C+M+207HmHCSHuvr4hGKSJ1RcBb2LTODpL1LID+z/L5Gzc1q2/G3QJve4Ke/TUVqQ0tpbuKKb+yZnHy6v7CUYgMmDY+nY0wEPeOi8FO+kUjDVZALB1aUBEmLIDe9/L7QptDpJjNIatcH/KroHF6b3nEi9ZwCIzdxxTc2aWcKf/p0K/lF5d/OWFswk4bHM6SzejGJNHiF+ZC8CnZ9ZdZLOvtr+X0hjaHjMLOYZFw/8A80j++aD0kTzEKUpSJawJCXzeU5kQZOgZGb1PYbm7QzhdGztnD+N7J0rmjavd0VHIlIuaICOLjGnEnavQByTpXfF2SDjjdCeCyseQ2q+s1y54cKjqTBU2DkJrX5xhYVG1z78nJS0nMrvd8CxNiCWTNhgJbVRKSiokI4vK4kSJpvLplVy2LOHD22Q8tq0qCpwKMP2picVmVQBObfeinpuWxMTvPcoESk7vDzh7g+MOxVGL8bHkgym9hekAEZR83cIxFxKQVGtXQis+qgqCbniUgDZvWDtglmQrYj0o+4dzwiDZACo1qKDg926XkiIjRq7th5i/8C/3saTv3s3vGINCAKjGqpZ1wUsbZgqsoesmDuTusZF+XJYYlIXda2t5lDVOVvFsDiZ9ZIWvem2bNt5k2w40sozKv6MSJSLQVGteRntTBpeDxQ9a+wScPjlXgtIo6z+plb8oGKv1ks5u2O/8Ddn8ElQ8BihYOr4b8Pwj/jYemzcHq/hwctUj9oVxquq2M0ecGuConYr97RlTuubO2KYYpIQ1NpHaOWMOQl+6366b/Alg/NW2ZK+fH2/aHHA2aNpKoKSIrUYdqu7yau+sYWFRtsTE7jRGYu//z6Jw6l5TD1ti7c3bONC0crIg2KM5Wviwrh5//Bphmw7xvKaiCFRcMV90KPUdC4nadGLuJ2CozcxB3f2Gkr9vNy0h4S2jfh04d7ueSaIiIO+/WQOYO09aNzaiNZoMMAuPIBuGSoerVJnac6RnXITV3NStfrk09zIkNb9UXEwxq3hev/CuN+NKtkt78OMGD/MvjsXnjtMlj+NzijLf8i51Jg5Cato0Lp3iYSw4BFO1Kqf4CIiDv4BZh1ke77Cv60Fa55zGxgm5UKq/4Or3eBj++EvUvMpTiRBk6BkRsN79YCgPnbj1VzpoiIB0S1h4GTzQrbd8yAuL6AYeYlfXoX/F9XWPESpB/19khFvEaBkRsN6xqL1QJbD5/hSFqOt4cjImLyD4TOt8GoBTBmM/QeCyFRZpuRFVPh9c7w6d3w09dm8rdIA6Lka9yTvFXqnnfXs3b/ae66qjUJHZoQHW4We1RdIxHxKQW5sHsBbJ4Bh74rP25rA93vg+4jITym4uOc2TUn4mLaleYm7gyMnpm7g1kbDtsdi7UFM2l4PEM6x7r0uUREXOLkXtg8E7Z9ArlnzGMWP7h0qLmjrf0AsFqrqLPUwixOGV9dI1yR2lNg5CbuCoySdqYwetYWzv8Gl84VTbu3u4IjEfFdBWdh1zyzLtKR9eXHI9tC655mC5KqfsPd+aGCI3E7BUZu4o5vbFGxwbUvL69QCbuUBYixBbNmwgAtq4mI7zu+y5xF2j4b8tKrOdlizhw9tkPLauJWqmNUh2xMTqsyKALzb6yU9Fw2Jqd5blAiIjXVPB5ufAX+vAeuebSakw0zkfvQWo8MTcSVFBi5yYlMx4o6OnqeiIhPCAyFmK6OnVtWcVuk7lBg5CbR4cEuPU9ExGc0au7YeXuXQNYJ945FxMUUGLlJz7goYm3BVJU9ZMHcndYzLsqTwxIRqb22vc0coip/w5XY+aVZWXvRn83ebSJ1gAIjN/GzWpg0PB6o+lfHpOHxSrwWkbrH6mduyQcq/oazmLdrHoOWV0JhLnz/HvzrCpjzMJzY7dmxijhJgZEbDekcy7R7uxNjs18uC/CzaKu+iNRt8TebW/Ijzvs9FtHCPD5wMvz+G7O6dvvrwCiCHz6Dt3uZVbWPfO+dcYtUQ9v1cW+BRzC37m9MTmPfyUwmzfuRYgO+Gd+Xi6LDXf5cIiIe5Wjl66NbYM1rZnXt0tpH7frAteOgwwCwaPZcnKc6Rm7i7sDoXL//YBPf7D7OQ33ieHpYvFufS0TE55z8Cb77P/hhNhQXmsdiu5kBUqebVfdInKLAyE08GRh9s+s4v/9wE1GhAfzfXVeQlpOv/mki0vCk/wJr34QtH0BBSZPtJheZNZK63mU2uj2XerJJJRQYuYknA6PComK6v7CUjNxCu+PqnyYiDVL2adj4Dmx4p7wvW3gL6D0Guo+CoEbqySZVUmDkJp4MjJJ2pvDHWVsqHFf/NBFp0PIyzZYja9+ErFTzWEhjM3H7x7moJ5tURi1B6riiYoPJC3ZVel/pj/zkBbsoKm7wsaqINDRB4dB7LDz2Awz/P4hqD2d/hR/nUDEoovxY0kRzmU3ERRQYeZD6p4mIVMM/CHrcD2M2Qd+/VHOyerKJ6ykw8iD1TxMRcZDVD5pd6ti56skmLqTAyIPUP01ExAmO9mQLUWslcR0FRh6k/mkiIk5wtCfbgkfhhy+guNgjw5L6TYGRB6l/moiIE6rtyQYER0L6YZjze3i3P+z/1nPjk3pJgZGHVdU/LSTAT1v1RUTOd8GebB/B+F0w4BkIDIeU7fDRrfDRbyDlB68MV+o+rwZGU6dO5aqrriI8PJzo6GhuvfVW9u7dW+m5hmEwdOhQLBYLX331ld19hw8fZtiwYYSGhhIdHc0TTzxBYWFhpdfxBUM6x7JmwgA+fagX4wZeDEBhcTFXtdMSmohIBfE3w2M7YdRCuP1989/HdpjHA8Og7xPw6Da4+o9gDYD9y+GdvjDnD3DmsLdHL3WMVwOjlStXkpiYyPr161m6dCkFBQUMGjSI7OzsCue+/vrrWCppMlhUVMSwYcPIz89n7dq1fPDBB8ycOZNnn33WEy+hxvysFhI6NOFPAy6mWysbBUUGn27UD7CISKWsfhDXB7rcYf57fjuQsKYw9GUYsxE63w4YZj+2N3rA/56GHJVBEcf4VOXrkydPEh0dzcqVK+nbt2/Z8W3btnHTTTexadMmYmNjmTt3LrfeeisAS5Ys4aabbuLYsWM0b27uYJg+fToTJkzg5MmTBAYGVvZUdjxZ+boyc7f+wrjPthMdHsg/77yc09nqnyYiUitHt8DSZ+HgavPrYBtcOx6u/gMEhJSfpx5sdZo7Pr/9XXIVF0lPTwcgKqp8SSknJ4d77rmHt956i5iYmAqPWbduHV26dCkLigAGDx7M6NGj+fHHH7niiisqPCYvL4+8vLyyrzMyMlz5Mpx2Y5dYnp33Iycy87n3/Y1lx9U/TUSkhlp2h1ELYN83sHQSnPgRvpkEG/8N1z0N3e6CPYvUg00q8Jnk6+LiYh577DGuueYaOnfuXHZ83Lhx9O7dm1tuuaXSx6WmptoFRUDZ16mpqZU+ZurUqdhstrJb69atXfQqaubbPSfIzK2YE5WansvoWVtI2pnihVGJiNRxFgtcPBD+uBpunQYRrcxK2fMegde7wecj7YMigIwU+Pw+s3GtNEg+ExglJiayc+dOZs+eXXZs/vz5LF++nNdff92lz/Xkk0+Snp5edjty5IhLr+8M9U8TEXEzqx9cfg+M3QwDn4egCMio6ve+erA1dD4RGI0ZM4aFCxfy7bff0qpVq7Ljy5cvZ//+/URGRuLv74+/v7nyd/vtt9O/f38AYmJiOH7cvhx86deVLb0BBAUFERERYXfzFvVPExHxkIBguOZR+M071ZyoHmwNmVcDI8MwGDNmDHPnzmX58uXExcXZ3T9x4kR++OEHtm3bVnYDeO2115gxYwYACQkJ7NixgxMnTpQ9bunSpURERBAfH++x11JT6p8mIuJhBTmOnacebA2SV5OvExMT+eSTT5g3bx7h4eFlOUE2m42QkBBiYmIqnfVp06ZNWRA1aNAg4uPjGTlyJK+88gqpqak888wzJCYmEhQU5NHXUxPqnyYi4mGO9mBz9DypV7w6YzRt2jTS09Pp378/sbGxZbfPPvvM4Wv4+fmxcOFC/Pz8SEhI4N577+W+++7j+eefd+PIXUf900REPMzRHmz7voGCsx4ZkvgOn6pj5C3ermOUtDOF0bO2AOUJ16UsoFYhIiKutmu+ufsMsP/Na7H/unE7uOk16DDAc2MTh7nj89snkq8buqr6p1mAv9/RVUGRiIirVdeD7XcfQ3gL+PWg2Xvtvw9B1kmvDFU8SzNGeH/GqFRRscHG5DROZOTy2jc/cfB0Dn8acBHjB13qtTGJiNRrF6p8nZsB306BDe8ABgRHwqAX4PJ7wap5BV/gjs9vBUb4TmB0riU7Uhj98RbCg/35buIAIoIDvD0kEZGG6ehmWPAopO4wv27TG4a/Ds30R6u3aSmtARl8WQwXRTciM7eQKYt2M2/bUdbtP61CjyIintayBzy0Agb9DQJC4fBamHYNfPsiFJxTSqW4CJJXw44vzX9VILJO0owRvjljBPDc/J3MXHvI7pj6p4mIeNGZw7Docfj5f+bXTS4yk7PPnlHfNS/QUpqb+GJgVLpTrbJdaqCdaiIiXmMYsGseLJkAWZX35DSV/Ma+80MFR26ipbQGorR/WmURq/qniYh4mcUCl90KYzbClf/vAieq71pdpMDIB6l/mohIHRBsg8tuq+Yk9V2raxQY+SD1TxMRqSMc7aemvmt1hgIjH6T+aSIidYT6rtU7Cox8UHX900D900REfIIjfdesAQqM6hAFRj7Iz2ph0vB4oOoftUnD4/GzVtMAUURE3MvqZ27JB6r8jV1cAO9eBz987rFhSc0pMPJRVfVPA/CzQqdY3ygrICLS4FXZd60l3PS6WSk7PwvmPARz/wh5mV4ZpjhGdYzwzTpGpcr6p2XmEh0ezNsr9rH651MM79aCN+6+wtvDExGRUlX1XSsuglWvwsqXwCiGqPZw+/vQsru3R1znqcCjm/hyYHS+XccyGPbGagwD5o+5hq6tIr09JBERccShdfDf30PGL2be0Q2ToFeiGtLWggo8CvEtIvjN5S0BmLp4N+v2n1IfNRGRuqBtAoxeA51uNvOOvn4GPr4Dsk6Y96vXmk/QjBF1a8YI4EhaDte9uoLC8wIh9VETEakDDAM2zzQrYhfmQlgz6HE/bPtYvdac5LWltPnz5zt94YEDBxISElKjQXlaXQuMknam8MdZWyocVx81EZE65MRu+PL/wYldVZygXmvV8VpgZHVy/dNisfDzzz/Tvn37Gg/Mk+pSYFRUbHDty8urbBliAWJswayZMEDb+UVEfF1eFrx6CRRkV3GCxZw5emyHmcgtdryaY5SamkpxcbFDt9DQUJcMTipSHzURkXrk2NYLBEWgXmue51BgNGrUKKeWxe69916fn3mpq9RHTUSkHlGvNZ/j78hJM2bMcOhiWVlZNGrUiGnTptVqUFI19VETEalH1GvN5zi8lPbaa69d8P7MzEwGDx5c6wHJhVXXR82C+qiJiNQZjvRa8w+G2Ms9NaIGz+HA6KmnnuLDDz+s9L7s7GyGDBnC6dOnXTYwqVx1fdQM1EdNRKTOcKTXWmEufDgcMlM9NqyGzOHA6KOPPuIPf/hDha372dnZDB48mJMnT/Ltt9+6fIBS0YX6qIUG+nFlO80WiYjUGRfqtXbdMxASZSZpvzsAUn7wzhgbEKcKPL733ns8+uijLFq0iP79+5fNFKWmprJy5UpatGjhzrG6TV3arn+uc/uoNQkLZMqi3exOzeT27q34x53dvD08ERFxRlW91tIOwCe/g1M/QUAY3P4edLzR26P1CT7RK+2VV15hypQpzJs3j2effZajR4+ycuVKWrVq5ZIBeUNdDYzOt+Xwr9w+bS2GAZ/8/mosFktZ89mecVFaXhMRqavOnoEvRsGBFYAFBj4PvceaTWkrC6YaCJ8IjAAmTpzI3//+d9q1a8eKFSto3bq1SwbjLfUlMAJ4cs4OPt14GD+rxa53mtqFiIjUcUUFsPgJ2FyyUzyuH5z6GTIbbhsRrwZGt912m93Xixcvplu3brRs2dLu+Jw5c1wyME+qT4HRfzcf4c9fVFyDVrsQEZF6wDBgw3RIehJzu835GlYbEXd8fjtUxwjAZrPZfX333Xe7ZADiOkXFBq9+/VOl9xmYPy6TF+xiYHyMltVEROoiiwV6Pgyr/g45le0EL/ltnzQROg5rUMtqruJwYORokUfxHmfahSR0aOK5gYmIiOscWltFUFTqnDYicX08Nqz6wrnusOLT1C5ERKQBUBsRt3IoMLrtttvIyMhw+KIjRozgxIkTNR6U1IzahYiINABqI+JWDgVG8+bN4+TJk2RkZFR7S09PZ8GCBWRlZbl77HIetQsREWkAHGkjEtbMPE+c5lCOkWEYXHLJJe4ei9RSabuQ0bO2YKHifgW1CxERqQdK24h8fh9U+tseyMuEIxsUHNWAQ4FRTVp9nL+NXzyjtF3I5AW7KiRiWy0Qawvx0shERMRlStuIJE2AjPPqGIU0huM/wqzb4Z7PlYDtpBoVeKxv6lMdo1LntguJDg/io/WHWLwjlfbNwlg0tg8hgdrCKSJS51XWRqQoH2aPgP3LwD8E7pkN7ft7e6Ru4TOVr+ub+hgYne9MTj6DX1/F8Yw87u3VhmFdWqhdiIhIfVWQC5+PhJ+/Bv9guOtjaH9dvWsfosDITRpCYASw+ueTjHx/Y4XjahciIlIPFebBF/fD3sVg9Ydgm339o3rQPsQdn9+qY9SAZOcVVno8NT2X0bO2kLQzxcMjEhERt/EPgt9+AC17QHFhxaKQGSlmAveu+d4Zn49SYNRAFBUbTF6wq9L7SqcMJy/YZdd4VkRE6jirnxkAVark933SRDNXSYAaBkaFhYV88803vPPOO2RmZgJw7Ngx1S7yYc60CxERkXri0FrIPHaBE85pHyKAE73SSh06dIghQ4Zw+PBh8vLyGDhwIOHh4bz88svk5eUxffp0d4xTakntQkREGiC1D3Ga0zNGjz76KFdeeSW//vorISHlNXF+85vfsGzZMpcOTlxH7UJERBogtQ9xmtMzRqtXr2bt2rUEBgbaHW/Xrh1Hjx512cDEtUrbhaSm51ZWIxVQuxARkXqntH1IRgqVVsgGCG+hCtnncHrGqLi4mKKiiklav/zyC+Hh4S4ZlLheabsQqLq7TnxshOoZiYjUJ6XtQ4Aqf/uHNlby9TmcDowGDRrE66+/Xva1xWIhKyuLSZMmceONN7pybOJipe1CYmz2y2WNQwMAWLbnBPO3H6Oo2GDd/tPM23aUdftPa6eaiEhdVto+JOK8WnVh0eAXZLYPWfAnKCqE5NWw40vz3wYaLDld4PHIkSMMGTIEwzD4+eefufLKK/n5559p2rQpq1atIjo62l1jdZuGUuCxlH27EHP57NWv9zJtxX4C/axEhPhzKiu/7HwVgBQRqQcqax+yfzl88jswiiAwHPIzy8+vAwUgfabydWFhIZ999hnbt28nKyuL7t27M2LECLtk7LqkoQVGlSkqNhj2r9XsSc2scF/p5Ou0e7srOBIRqW8WjodN71dyR8lv/zs/9NngyB2f304lXxcUFNCxY0cWLlzIiBEjGDFihEsGIb4hLTu/0uMG5o/H5AW7GBgfozwkEZH6orgIflpSxZ0lv/2TJkLHYXW+r5qjnMoxCggIIDdXdW7qI3NpLa/K+1UAUkSkHjq0FjJUAPJcTidfJyYm8vLLL1NYWHnfLambVABSRKQBUgHICpyuY/T999+zbNkyvv76a7p06UJYWJjd/XPmzHHZ4MRzVABSRKQBUgHICpwOjCIjI7n99tvdMRbxIhWAFBFpgBwpABnRskEVgHQ6MJoxY4Y7xiFeVloAcvSsLVio/MdjzICLAFi3/7TdVn8lY4uI1FGlBSA/vw+q+u3fY5T5b/Jq+63+9TQZu0bb9esbbdcvl7QzhckLdpGSXp5L5G+1UFhsEBsRTDEGxzPKk7RV40hEpB7YNR+SJtgnYgeEQkEOBEWY/52VWn6fj9Q48ok6RnFxcVgsVc8QHDhwoNaD8jQFRvbOLwDZqnEIw99Yw5mzBRXOVY0jEZF64vwCkLGXw9sJkHGkkpN9o8aR1+sYATz22GN2XxcUFLB161aSkpJ44oknXDIo8S4/q4WEDk3Kvi4qNvD3qzwYVo0jEZF6wuoHcX3Kvy4uguKqyrjU3xpHTgdGjz76aKXH33rrLTZt2lTrAYnv2ZicZtci5Hzn1jg6N6ASEZE67NBayDpxgRPOqXF0bkBVxzldx6gqQ4cO5b///a9Tj5k6dSpXXXUV4eHhREdHc+utt7J3796y+9PS0hg7diyXXnopISEhtGnThj/96U+kp6fbXefw4cMMGzaM0NBQoqOjeeKJJ1RnyYVU40hEpAFqoDWOXBYYffnll0RFObeVe+XKlSQmJrJ+/XqWLl1KQUEBgwYNIjs7G4Bjx45x7NgxXn31VXbu3MnMmTNJSkriwQcfLLtGUVERw4YNIz8/n7Vr1/LBBx8wc+ZMnn32WVe9tAZPNY5ERBqgBlrjyOnk6yuuuMIu+dowDFJTUzl58iRvv/02Dz/8cI0Hc/LkSaKjo1m5ciV9+/at9JwvvviCe++9l+zsbPz9/VmyZAk33XQTx44do3lz882ZPn06EyZM4OTJkwQGBla4Rl5eHnl55eumGRkZtG7dWsnXVSgqNrj25eXV1jhaM2GAcoxEROqL4iJ4vfMFahxZzN1pj+3wWo6RTyRf33LLLXaBkdVqpVmzZvTv35+OHTvWajClS2QXmnkqffH+/ubQ161bR5cuXcqCIoDBgwczevRofvzxR6644ooK15g6dSqTJ0+u1VgbEkdqHPW7pBmgGkciIvVGtTWODOg+Cn6cW69qG/lMHaPi4mJuvvlmzpw5w5o1ayo959SpU/To0YN7772XKVOmAPDwww9z6NAh/ve//5Wdl5OTQ1hYGIsXL2bo0KEVrqMZo5qprMZRoyA/svKKAIgIDiAjt3xLv2ociYjUA5XVOAKw+kPxOfm8Xqht5BMzRn5+fqSkpBAdHW13/PTp00RHR1NUVFSjgSQmJrJz584qg6KMjAyGDRtGfHw8zz33XI2eo1RQUBBBQUG1ukZDNKRzLAPjY+xqHF3VrjF/nLWZb3afsAuKAFLTcxk9a4tqHImI1GXxN5tb8ktrHB3dBOun2QdFYC65fX6f12sb1ZbTyddVTTDl5eVVms/jiDFjxrBw4UK+/fZbWrVqVeH+zMxMhgwZQnh4OHPnziUgIKDsvpiYGI4ft8+IL/06JiamRuORqpXWOLrl8pYkdGiCxWJh57GMSs8t/T9l8oJdFBX7xMSkiIjURGmNo8t+A7vmVXFSye/5pIlmflId5fCM0b/+9S8ALBYL7733Ho0aNSq7r6ioiFWrVjmdY2QYBmPHjmXu3LmsWLGCuLi4CudkZGQwePBggoKCmD9/PsHB9jufEhISmDJlCidOnCibxVq6dCkRERHEx8c7NR5x3sbkNFLTq96mrxpHIiL1yKG1FZfU7NT92kYOB0avvfYaYAYz06dPx8+vPMEqMDCQdu3aMX36dKeePDExkU8++YR58+YRHh5OaqrZh8VmsxESEkJGRgaDBg0iJyeHWbNmkZGRQUaGOTvRrFkz/Pz8GDRoEPHx8YwcOZJXXnmF1NRUnnnmGRITE7Vc5gGqcSQi0oA0gNpGDgdGycnJAFx33XXMmTOHxo0b1/rJp02bBkD//v3tjs+YMYP777+fLVu2sGHDBgAuuuiiCuNp164dfn5+LFy4kNGjR5OQkEBYWBijRo3i+eefr/X4pHqqcSQi0oA0gNpGTidff/vtty578uo2xPXv37/acwDatm3L4sWLXTUscULPuChibcEXrHEUGujHlW0bV2hOq+38IiJ1TNve5u6zKmsbASGNwSg284zq4Pb9Gm3X/+WXX5g/fz6HDx8mP9++h9Y///lPlw3OU9yx3a8hSdqZwuhZW4Aqf0zoGRfF4dM5pGaUL6lpO7+ISB20a35JbSOo+rc+Htm+747Pb6cDo2XLlnHzzTfTvn179uzZQ+fOnTl48CCGYdC9e3eWL1/ukoF5kgKj2qusxlGsLZghnWP4YO1BKtuUVjpXpO38IiJ1TFW1jeyU/JZ34/Z9nwiMevbsydChQ5k8eTLh4eFs376d6OhoRowYwZAhQxg9erRLBuZJCoxco7KlMoAr/7aUX3MKKn2MBYhROxERkbqnuAiSV8OX98PZX6s4yb1tQ9zx+e10HaPdu3dz333mFJq/vz9nz56lUaNGPP/887z88ssuGZTUTefXOPKzWtiYnFZlUAT22/lFRKQOsfqZtyqDIrDbvl9HOB0YhYWFleUVxcbGsn///rL7Tp065bqRSb2g7fwiIvVYPdy+7/SutF69erFmzRo6derEjTfeyJ///Gd27NjBnDlz6NWrlzvGKHWYo9v0m4YFqQGtiEhd4+i2/KzjdWaXmtM5RgcOHCArK4uuXbuSnZ3Nn//8Z9auXcvFF1/MP//5T9q2beuusbqNcozcp6jY4NqXl19wO39wgJXIkEDtWBMRqWuKi+D1zhfevl/KDbvUvJ58XVRUxHfffUfXrl2JjIx0yQB8gQIj93JkO//5tGNNRKSOcHT7vht2qXk9+bq0Bcevv14o0UrE3pDOsUy7tzsxNvtltZiIIEICKp9WVQNaEZE6Iv5mM9iJqO6P2LrRZNbpHKPOnTtz4MCBShu+ilRlSOdYBsbH2G3nLzYMRry3ocrHqAGtiEgdEX8zdBwGG6bD/566wIm+32TW6cDob3/7G48//jgvvPACPXr0ICwszO5+LUVJVUq385eat+2oQ4/TjjURkTrA6udcMraPcjowuvHGGwG4+eabsVjKdw0ZhoHFYqGoyHenx8S3ONOAVn3WRETqgHrQZNarTWSlYXOkAW2An4X9J7MY//m2Cu1GtGtNRMTHONJk1mKFnNMeHZYzatREtr7RrjTvqcmONdCuNRERn1W2S62aHWou2J3m9V1ppVavXs29995L7969OXrUzBP56KOPWLNmjUsGJQ1HVTvWYm3BPH/LZfhXsVymXWsiIj4q/ma4Y6Y5M3QhPro7zemltP/+97+MHDmSESNGsGXLFvLy8gBIT0/nxRdfZPHixS4fpNRvle1Y6xkXxcbkNAovEPRo15qIiI8KawJG8QVO8N3daU7PGP3tb39j+vTpvPvuuwQEBJQdv+aaa9iyZYtLBycNR2UNaB3djZaafpZ1+08zb9tR1u0/rRkkERFvc3TXWWaKe8dRA07PGO3du5e+fftWOG6z2Thz5owrxiQCOL5r7YVFu0nLzi/7WonZIiJe5uius6QnwT/YpW1CasvpGaOYmBj27dtX4fiaNWto3769SwYlAuW71qrblH9uUASQmp7L6FlbSNrpe3+JiIg0CKW706r7DZ5z2kzU3jXfI8NyhNOB0UMPPcSjjz7Khg0bsFgsHDt2jI8//pjHH3+c0aNHu2OM0kD5WS1MGh4PVPujZUeJ2SIiXmb1MxvGVsv32oQ4HRhNnDiRe+65h+uvv56srCz69u3L73//e/7whz8wduxYd4xRGrCqdq1FhQVU8QjTuYnZIiLiBaU91EKr2xxzTiK2D6hxHaP8/Hz27dtHVlYW8fHxNGrUyNVj8xjVMfJ951e+Ts3IZdxn26p93Gt3diPGFqKK2SIi3vLD5zDnoerPu/196HKHU5d2x+e308nXpQIDAwkPDyc8PLxOB0VSN5zfZ23dfseqpioxW0TEy8Id/H17er97x+Egp5fSCgsL+etf/4rNZqNdu3a0a9cOm83GM888Q0FBgTvGKFKBErNFROoIRxOxV0z1iSRspwOjsWPH8u9//5tXXnmFrVu3snXrVl555RXef/99/vSnP7ljjCIVKDFbRKSOKEvEduB3rg8kYTudY2Sz2Zg9ezZDhw61O7548WLuvvtu0tPTXTpAT1COUd2VtDOFyQt22TWYjQoLIC27+tnLTx/qpYrZIiKesuJlWPFi9eeNWuhwNWyfyDEKCgqiXbt2FY7HxcURGBjoijGJOKyydiKOJmafyMytkNSt5GwRETdp0sGx8xytmu0mTgdGY8aM4YUXXmDGjBkEBQUBkJeXx5QpUxgzZozLByhSnZomZu9JyeSlJcvtZpuUnC0i4iaOVsP2chK200tpv/nNb1i2bBlBQUF069YNgO3bt5Ofn8/1119vd+6cOXNcN1I30lJa/VJUbHDty8tJTc91ZEXbTulc0bR7uys4EhFxpeIieL0zZKRw4Xwji1n/yIE2IT6xlBYZGcntt99ud6x169YuGYyIK5QmZo+etQUL9j9+pV9bLVBZ7rVRcs7kBbsYGB+jZTUREVcpTcL+fGT15yZNhI7DzMd4WI0LPNYnmjGqnypLzI61BXPXVa157Zufq338xw9ejdVqUf6RiIgruTAJ2ydmjETqisoSs3vGRbHwh2MOPT7xky2cOVu+u035RyIiLuDjSdhOB0anT5/m2Wef5dtvv+XEiRMUFxfb3Z+Wpt5U4jvOT8wGiA4PruJse+cGRVBeHFL5RyIiteDjSdhOB0YjR45k3759PPjggzRv3hyLRUsLUreUVs12Njlb+UciIi7QtrfZJiSzmg4EWz6Avo97PM/I6cBo9erVrFmzpmxHmkhdc6Hk7OoYQEp6LhuT0+gZF6UaSCIizrL6QY8Hqs8zyjgKh9Y6XOzRVZwOjDp27MjZs2fdMRYRjxnSOZZp93avkJwdGRJQYQmtMkt3pTL+822qgSQiUhM+nGfk9K6077//nokTJ/Lss8/SuXNnAgIC7O6vi7u6tCut4Tq/8nWxYTDivQ01upZqIImIOCh5NXxwU/Xn9X8K+k+o8m6f2JUWGRlJRkYGAwYMsDtuGAYWi4WiIu82fxNxxvnJ2UXFRo3yj0A5SCIiDvPhPCOnA6MRI0YQEBDAJ598ouRrqXccKQ55IaU5SOv3n1YNJBGRqvhwnpHTgdHOnTvZunUrl156qTvGI+J1VeUfxdiCubFzDO9/d7Daa6gGkohINRzNM9q72LcDoyuvvJIjR44oMJJ6rarikBuT0xwKjFQDSUSkGo7WM1r/NrRJcKh3mis4HRiNHTuWRx99lCeeeIIuXbpUSL7u2rWrywYn4k2VFYd0RQ2kAR2bs/nQr1pmE5GGrW1viGgBGQ50I/Bg7zSnd6VZrdaKF7FY6nTytXaliTOSdqYwetYWwLkaSKWiwgJJy84v+1rLbCLSYO2a71hTWai0d5o7Pr8rRjnVSE5OrnA7cOBA2b8i9V1pDlKMzb61SGRIQBWPsHduUATly2xJO6vZnSEiUt/E3wy9HnHs3L2L3TuWEk7PGNVHmjGSmnB1DaQYWzBrJphlMFRRW0QaDEdrGoU2hcd/sltO84k6RgAfffQR06dPJzk5mXXr1tG2bVtef/114uLiuOWWW1wyMBFf5+oaSCnpuby5fB+zvz+sitoi0nC07Q2hTSDn9IXPyznlka37Ti+lTZs2jfHjx3PjjTdy5syZspyiyMhIXn/9dVePT6TOKK2BBOVVsJ312jc/2QVFoKU2EannrH7Q9XeOneuBFiFOB0ZvvPEG7777Lk8//TR+fuXTWVdeeSU7duxw6eBE6pqq8o+iwhzLP6pM6ezT5AW7KCpu8CvfIlIfXTzYsfNCm7p3HNRgKS05OZkrrriiwvGgoCCys7NdMiiRuqyyGkg92jam39+/rdEyG6iitojUc4520fBAtw2nA6O4uDi2bdtG27Zt7Y4nJSXRqVMnlw1MpC6rrAZSbVqNlFJFbRGpl7JPuva8WnB4Ke35558nJyeH8ePHk5iYyGeffYZhGGzcuJEpU6bw5JNP8pe//MWdYxWp06paZouxBTPuhosdukZVFbVL84+Kig3W7T/NvG1HWbf/tJbeRKRucLQK9un97h0HTmzX9/PzIyUlhejoaD7++GOee+459u83B9iiRQsmT57Mgw8+6NbBuou264snnb/Nv2dcFADXvry8RkttpVv9/zosnhcW7dKONhGpe4qL4LXLILOaTSYhUfDEvrIt++74/HY4MLJaraSmphIdHV12LCcnh6ysLLtjdZECI/EFta2oXZnS1Xj1aBMRn7fiZVjxYvXn9X8K+k8AfKDyteW8pKfQ0NA6HxSJ+IraVtSuzLk72vILi7XMJiK+q0kHx87bMN2cYXITp5KvL7nkkgrB0fnS0tJqNSCRhqyyHW21qagN5Tvaek1dph5tIuK7HM0zOpvm1kKPTgVGkydPxmazuWUgImJyZUXtc1XVo03LbCLiE9r2hpBIOHum+nP3LnZbYFSrHKP6QjlG4uuqyj9yZqt/ZUoTt1c+cR2bD/2q+kgi4l2O5hmV9E3LyMr2XvL1ubvS6hsFRlIXJO1MYfKCirvO/jqsEy8s2l2rGaWosEAts4mI9xUXwUttIT+z+nNHLSSjSTfvJV87GD85ZerUqVx11VWEh4cTHR3Nrbfeyt69e+3Oyc3NJTExkSZNmtCoUSNuv/12jh+375Vy+PBhhg0bVpYM/sQTT1BYWOjy8Yp405DOsayZMIBPH+rF/911OZ8+1Is1EwZwY9cWte7RVtUym+ojiYhHWf2g+0jHznVT3zSHc4yKi4td/uQrV64kMTGRq666isLCQp566ikGDRrErl27CAsLA2DcuHEsWrSIL774ApvNxpgxY7jtttv47rvvACgqKmLYsGHExMSwdu1aUlJSuO+++wgICODFFx2YjhOpQyqrqA3lO9rOn1GKCgsgLbugwvnVMTCDrMkLdlFcjOojiYjnXDwY1r9d/Xlu6pvm8FKaJ5w8eZLo6GhWrlxJ3759SU9Pp1mzZnzyySfccccdAOzZs4dOnTqxbt06evXqxZIlS7jppps4duwYzZubGe3Tp09nwoQJnDx5ksDAwGqfV0tpUl+cXzyytj3aqqL6SCLiNgdWwoc3V39ev4lk9Ej0bh0jd0tPTwcgKsqsBLx582YKCgq44YYbys7p2LEjbdq0Yd26dQCsW7eOLl26lAVFAIMHDyYjI4Mff/yx0ufJy8sjIyPD7iZSH5TOKN1yeUsSOjQh0N9a62W2yqg+koi4jaP90Db+2y31jJxuIusuxcXFPPbYY1xzzTV07twZgNTUVAIDA4mMjLQ7t3nz5qSmppadc25QVHp/6X2VmTp1KpMnT3bxKxDxTa5eZiul+kgi4hbO1DM6XPMab1XxmcAoMTGRnTt3smbNGrc/15NPPsn48ePLvs7IyKB169Zuf14Rb6mscKSrltmqq49UWW84lQIQkSo5U88o+4TLn94nAqMxY8awcOFCVq1aRatWrcqOx8TEkJ+fz5kzZ+xmjY4fP05MTEzZORs3brS7XumutdJzzhcUFERQUJCLX4WIb6sscXvS8HhGz9pSoR5SbeojKXFbRGrF6gc9/wgrX6r+3JCKm1Fq/fQuv6ITDMNgzJgxzJ07l+XLlxMXF2d3f48ePQgICGDZsmVlx/bu3cvhw4dJSEgAICEhgR07dnDiRHnUuHTpUiIiIoiPj/fMCxGpo6rqzxZjC+bte64g1hZco9yk0mW2Rz7ZYhcUQcVSACIiFbTt7dh51bQpqwmvzhglJibyySefMG/ePMLDw8tygmw2GyEhIdhsNh588EHGjx9PVFQUERERjB07loSEBHr16gXAoEGDiI+PZ+TIkbzyyiukpqbyzDPPkJiYqFkhEQdUtsxWutxltVoqnVGqjXNnlAbGm7O6WmoTETuO1iiqb0tp06ZNA6B///52x2fMmMH9998PwGuvvYbVauX2228nLy+PwYMH8/bb5fUN/Pz8WLhwIaNHjyYhIYGwsDBGjRrF888/76mXIVLneao+UqnSGaU3l+9j9veHtdQmIvYc3ZmWc8rlT+1TdYy8RXWMRC7MU/WRoGKNJCVvizRAP3wOcx6q9rSMLv8P2x2vu/Tz2yeSr0XEt3kqcRuUvC0iQLiDP98/fuXyp/apAo8iUne4K3EbnE/eVi83kXqmbW8IdWDH2dnTLn9qzRiJSI3VJHHblTNKA+NjWLortUIOlGaVROo4qx90+S1smO75p/b4M4pIvXJ+G5LS/J8LzSiNu+HiWj3nucnbo2epJIBIvRTZxitPqxkjEXGbqmaUAGZ/f6TWydtvLP+50sefP6vkZ7UoiVukrglr5pWnVWAkIm5VVSkAVyRvF14gl6h0VmljchrpZ/O13CZS1ziagO1iWkoTEa+oTfK2BQgPcuzvure//Zk/OrHcpkRuER9R2jPNwzRjJCJeU9PkbYDf94njtW9+rvY5Vu+rfNdKZcttSTtTNLMk4iuc6Znmyqf16LOJiJynJsnb0+7tzpgBF1dbEiA44MK/4kqX2+ZvO8qSHSlOJ3JrdknEzRztmeZCmjESEZ91oRkluHCeEsCInm14/7uD1T7PuM+3Y7VUnttU2cwSoNklEU9wtGeaC2nGSER8WlUzSlD9rNINJU1qq2O1wIUme85N5AYzKFKZABEPcLRnmgtpxkhE6rQLzSoVFRvE2oKrLAtgoaSu0sBL+MuXP1T7XH/5cjvXdYxm/rZjTs0uqVSASA15Ycu+AiMRqfOqKgngZ7VUu9w2aXg8tpBAh57nyK9n+XDdoQuec+7sUkKHJlpyE6kNL2zZ11KaiNRr1S23DekcS8+4qGrLA0SHB/F/v7ucvhc3deh5l+xM4aN1h2q05KakbpESXtiybzEMo8H/xGVkZGCz2UhPTyciIsLbwxERN6huOas0bwgqn1kqDaLW7T/N3e+ur/V4Spfx1kwYUGEcmmESOce3U6vcsp+RZ2B7KdOln9+aMRKRBuFCSdzg2MwSUO3sEkBooB/tm4ZdcDylS24frE0mK68QUFK3SKU8vGVfM0ZoxkhEyjmSKO3I7FJeYTGPzt7m0HNaLNC+aRjHzpzlbEFx5edQ+QyTs2MXqXN++BzmPFTpXe6YMVLytYjIOapK5D5X6ezS+UteMecsea3bX3nF7fM1CQvgdHYB+09mX/C885O6z6clOKm3PLxlX4GRiEgNVFd8snTJrbpSAWsmDCAtO593V+/n36uSq33esZ9u4eq4JlzWMoLLWti4rEUEmw6mMXrWlgrPU7oEd+5SYGU00yQ+zcNb9hUYiYjU0IVmlxwtFeBntdAsPIjrLm3uUGB0KiufRTtSWLSjPN/I2ard59JMk/g8D2/ZV/K1iIibOJrQDdUndVuA5hFBfPDAVUwc2pHh3VrQvpmZ4O1I1e6P1h0kI7fA7j4le0ud0LY3hF54eduVlHyNkq9FxL0cXapytGTAuT7fdMShqt2lWkaG0Ck2nEuah/PJxsOcySmo9DxHkr1LaSlO3G7JBNgwvcJhJV+LiNRBjiR0g2NJ3edr3TjUoTE0DQvkVHY+R8+c5eiZs3yz+8QFz68u2buUluLEIyLbeOypFBiJiPiQ6pK6z+dMkndWXiF7UzPZk5rBkp2pDu2cm/DfH7g6LopLmodzcfNGXNI83Fzys1jKZrhqmvQt4jAPJmArMBIR8TGOzjCVnutokrctJICecVH0jIvi4uhwhwKjw2k5HE7LsTsWHuRPh+gw9qZm1Tjp+3xajpMLCov22FMpMBIRqeNqsgTnyExT0/AgJt0Uz76TWfx8PIufjmeSfCqbzLxCth1Jv+CYSpfi5mz5hZsvb0GQv1+V52o5Tqpl8VyQrORrlHwtIvWDs7MuNUn2zi8s5uDpbD7ZcIiZaw85NC6rBdpEhdKhWSM6RDeifdMwOkQ3okOzRmxMPl3pctyFxuAIzUDVMzu+hP8+WOGwO5KvFRihwEhEGq6aztY42kw3JMBaZZsTMCcCqvoUcmZn3Lk0A1UP7V8BH91S4bB2pYmIiEs5m+xdytGk79V/uY60nHz2n8hm/8mskls2+09kcfTM2SqDIihfjvvjR5vp1aEJcU1DadskjNaNQwn0r7wMnxLC6ykPLqUpMBIRaeCcSfY+9zGOJH37+1mJDg8mOjy4wnN8uekIjztQg2np7uMs3X3c7rlbRobQrmkYcU1Cadc0jHZNw2jTOJTn5u9yWUJ4KS3L+QAP9ktTYCQiIjVSk6Tvc7V0sAbTLd1aUFBcTPKpHA6dziYnv6hst9wqJ8braG2mc2lZzkc0au6xp1KOEcoxEhGpjZrOqBQVG1z78nKHajCVXs8wDE5k5pF8KpuDp7I5eDqn5F9zqa6gqPqPtPZNw7i8TSRtokJpExVK2yahtI4KpVmjICznLNlUtSxX28RwqYHiIvh7ezh7xu6wkq/dRIGRiIh31GRnXFXW7jvFPe9tqPFYggOsZcFSy8YhzN1ylIzcwkrPrWlieCktz9XAt1Nh5Ut2h5R8LSIi9Uptl+POdXX7JtUmhDdpFMhfh8Xzy5mzHEnL4dBpc0kuJf0suQXF/HQ8i5+OZ1X7XKXLcu+uPsDA+Oa0jAwhOKDqWk3n0vJcDbXt7ZGn0YwRmjESEfE2V82g1HQGKr+wmGNnzpblLi3fc4Lley7cT+58TRsF0apxSMnNnHVq1TiE1o1DaBkZSkign1uX5+r9LFQltYw0YyQiIvVSTXbGVaamM1CB/tay3W0AHZo1cigwat04hLTsfLLziziVlceprDy2HTlT6blNwgLIyC10+a45aCCzUKFNPfI0mjFCM0YiIvVNbWdPnEkMt1og/WwBv/x6tuSWY/ffR389S2Ze5blKlenW2sZlLWy0sAXTIjKEFpEhtIwMoXlEcKX1mxpMkviBlfDhzXaHNGMkIiLigNrOQDnTnBcgMjSQyNBAOre0VXq99LMFzFp/iL//b2+1z739SDrbK+lFZ7FAdHgQsTYzUGoRGUyMLZg3l+9zyyzUuXximS7rePXnuIACIxERkUq4MjHcFhJA9zaNHTr34b5xhAT4c+zMWY6ln+XYmVyOnjlLfmExxzPyOJ5R9XLd+UqTxN9ZuY/rOjYn1haMLSTArixBdXxmmc5DRR61lIaW0kREpGqumi2pSd2mUoZhcDo7n5SSIOlYyW3ToTS2VTK7dCEhAX7E2oKJjQwm1hZi/nfpv5HBxEaEEBHij8Vi8dgynUPf4x8+hzkP2R3SUpqIiIiHuSox3NnluXNZLBaaNgqiaaMgurQqX65ztJlvuyahZOQWkpadz9mCIg6cyubAqewqzw8N9KN5RBBHf608iHPlMp3DM1Jh0TV+DmdoxgjNGImIiOe4cmnK2Vmo3IIiUtNzOZZ+ltT0XFLSc0lJP0vKmfL//jWnwKkxdG4RQcfYCGJtZs7TuTNQ1S3bOTUjpeRrERGR+mdI51gGxse4ZHnO2Vmo4AA/u7IElcktKCIlPZf/bj7Cm9/ur3YMO49lsPNYRqX3BQdYibWFEBNRunQXTIwthNiIYKIjgnh23o+Oz0h5KMdIgZGIiIiHuWp5DlybJA5m8BTXNIxrLmrmUGD0SP8OhAX5k3LOLFRqei6ns/PJLSgm+VQ2yRdYtqtKaeL4ir0nuL5Tc481klVgJCIiUse5chaqVM+4qGpbrMTYgvnzoEsrfZ7cgiKOZ5QHSmXLdiVfHzyV7VB9pwc/2ER4kD8tbQF8aQmnkZFZ49fkCAVGIiIi9YArZ6FKr1fTZHEwZ57aNgmjbZPKl+0cTRwHyMwrZM+JQv7tN5DxAXMcfxE1oMBIREREKuXqZbpzOToj9fW4vhzPyCMl/SyF+7JhgwIjERER8RJ3LNOB4zNS4cEBhAcHcFF0I8i1woZaPW21FBiJiIjIBbl6ma6U0zNSHmgkq8BIREREvMapGSknWpnUlAIjERER8SqHZ6Q8UMvI6vZnEBEREXEFD9QyUmAkIiIidUPb3hBe+6a1F6LASEREROoGqx/0eMC9T+HWq4uIiIi4UpMObr28AiMRERGpO9ycZ6TASEREROqOtr0hpLHbLq/ASEREROoY99Uz8mpgtGrVKoYPH06LFi2wWCx89dVXdvdnZWUxZswYWrVqRUhICPHx8UyfPt3unNzcXBITE2nSpAmNGjXi9ttv5/jx4x58FSIiIuIxh9bC2TS3Xd6rgVF2djbdunXjrbfeqvT+8ePHk5SUxKxZs9i9ezePPfYYY8aMYf78+WXnjBs3jgULFvDFF1+wcuVKjh07xm233eaplyAiIiKelOXeyQ+vVr4eOnQoQ4cOrfL+tWvXMmrUKPr37w/Aww8/zDvvvMPGjRu5+eabSU9P5/333+eTTz5hwIABAMyYMYNOnTqxfv16evXq5YmXISIiIp7SkJOve/fuzfz58zl69CiGYfDtt9/y008/MWjQIAA2b95MQUEBN9xwQ9ljOnbsSJs2bVi3bl2V183LyyMjI8PuJiIiInVA294Q0QJ35Rn5dGD0xhtvEB8fT6tWrQgMDGTIkCG89dZb9O3bF4DU1FQCAwOJjIy0e1zz5s1JTU2t8rpTp07FZrOV3Vq3bu3OlyEiIiKuYvWDIS+77/Juu7ILvPHGG6xfv5758+ezefNm/vGPf5CYmMg333xTq+s++eSTpKenl92OHDniohGLiIiI28XfDHfMxB1hjFdzjC7k7NmzPPXUU8ydO5dhw4YB0LVrV7Zt28arr77KDTfcQExMDPn5+Zw5c8Zu1uj48ePExMRUee2goCCCgoLc/RJERETEXcKaAMUuv6zPzhgVFBRQUFCA1Wo/RD8/P4qLzW9Ejx49CAgIYNmyZWX37927l8OHD5OQkODR8YqIiIgHuWl3mldnjLKysti3b1/Z18nJyWzbto2oqCjatGlDv379eOKJJwgJCaFt27asXLmSDz/8kH/+858A2Gw2HnzwQcaPH09UVBQRERGMHTuWhIQE7UgTERGpz9y0O82rgdGmTZu47rrryr4eP348AKNGjWLmzJnMnj2bJ598khEjRpCWlkbbtm2ZMmUKf/zjH8se89prr2G1Wrn99tvJy8tj8ODBvP322x5/LSIiIuJBbXtDeAyQ6dLLWgzDMFx6xTooIyMDm81Geno6ERER3h6OiIiIOCBj42xsV9/t0s9vn80xEhEREbmgjje6/JIKjERERERKKDASERERKaHASERERKSEAiMRERGREgqMREREREooMBIREREpocBIREREpIQCIxEREZESCoxERERESigwEhERESmhwEhERESkhAIjERERkRIKjERERERKKDASERERKaHASERERKSEAiMRERGREgqMREREREooMBIREREpocBIREREpIQCIxEREZESCoxERERESigwEhERESmhwEhERESkhAIjERERkRIKjERERERKKDASERERKaHASERERKSEAiMRERGREgqMREREREooMBIREREpocBIREREpIQCIxEREZESCoxERERESigwEhERESmhwEhERESkhAIjERERkRIKjERERERKKDASERERKaHASERERKSEAiMRERGREgqMREREREooMBIREREpocBIREREpIQCIxEREZESCoxERERESigwEhERESnh7+0B+ALDMADIyMjw8khERETEUaWf26Wf466gwAg4ffo0AK1bt/bySERERMRZp0+fxmazueRaCoyAqKgoAA4fPuyyb6zUTEZGBq1bt+bIkSNERER4ezgNmt4L36H3wrfo/fAd6enptGnTpuxz3BUUGAFWq5lqZbPZ9D+5j4iIiNB74SP0XvgOvRe+Re+H7yj9HHfJtVx2JREREZE6ToGRiIiISAkFRkBQUBCTJk0iKCjI20Np8PRe+A69F75D74Vv0fvhO9zxXlgMV+5xExEREanDNGMkIiIiUkKBkYiIiEgJBUYiIiIiJRQYiYiIiJRoMIHRW2+9Rbt27QgODubqq69m48aNFzz/iy++oGPHjgQHB9OlSxcWL17soZHWf868F++++y59+vShcePGNG7cmBtuuKHa904c5+zPRanZs2djsVi49dZb3TvABsTZ9+LMmTMkJiYSGxtLUFAQl1xyiX5PuYiz78Xrr7/OpZdeSkhICK1bt2bcuHHk5uZ6aLT116pVqxg+fDgtWrTAYrHw1VdfVfuYFStW0L17d4KCgrjooouYOXOm809sNACzZ882AgMDjf/85z/Gjz/+aDz00ENGZGSkcfz48UrP/+677ww/Pz/jlVdeMXbt2mU888wzRkBAgLFjxw4Pj7z+cfa9uOeee4y33nrL2Lp1q7F7927j/vvvN2w2m/HLL794eOT1j7PvRank5GSjZcuWRp8+fYxbbrnFM4Ot55x9L/Ly8owrr7zSuPHGG401a9YYycnJxooVK4xt27Z5eOT1j7Pvxccff2wEBQUZH3/8sZGcnGz873//M2JjY41x48Z5eOT1z+LFi42nn37amDNnjgEYc+fOveD5Bw4cMEJDQ43x48cbu3btMt544w3Dz8/PSEpKcup5G0Rg1LNnTyMxMbHs66KiIqNFixbG1KlTKz3/zjvvNIYNG2Z37Oqrrzb+8Ic/uHWcDYGz78X5CgsLjfDwcOODDz5w1xAbjJq8F4WFhUbv3r2N9957zxg1apQCIxdx9r2YNm2a0b59eyM/P99TQ2wwnH0vEhMTjQEDBtgdGz9+vHHNNde4dZwNjSOB0V/+8hfjsssuszv2u9/9zhg8eLBTz1Xvl9Ly8/PZvHkzN9xwQ9kxq9XKDTfcwLp16yp9zLp16+zOBxg8eHCV54tjavJenC8nJ4eCggKXNgxsiGr6Xjz//PNER0fz4IMPemKYDUJN3ov58+eTkJBAYmIizZs3p3Pnzrz44osUFRV5atj1Uk3ei969e7N58+ay5bYDBw6wePFibrzxRo+MWcq56rO73jeRPXXqFEVFRTRv3tzuePPmzdmzZ0+lj0lNTa30/NTUVLeNsyGoyXtxvgkTJtCiRYsK//OLc2ryXqxZs4b333+fbdu2eWCEDUdN3osDBw6wfPlyRowYweLFi9m3bx+PPPIIBQUFTJo0yRPDrpdq8l7cc889nDp1imuvvRbDMCgsLOSPf/wjTz31lCeGLOeo6rM7IyODs2fPEhIS4tB16v2MkdQfL730ErNnz2bu3LkEBwd7ezgNSmZmJiNHjuTdd9+ladOm3h5Og1dcXEx0dDT//ve/6dGjB7/73e94+umnmT59ureH1uCsWLGCF198kbfffpstW7YwZ84cFi1axAsvvODtoUkN1fsZo6ZNm+Ln58fx48ftjh8/fpyYmJhKHxMTE+PU+eKYmrwXpV599VVeeuklvvnmG7p27erOYTYIzr4X+/fv5+DBgwwfPrzsWHFxMQD+/v7s3buXDh06uHfQ9VRNfi5iY2MJCAjAz8+v7FinTp1ITU0lPz+fwMBAt465vqrJe/HXv/6VkSNH8vvf/x6ALl26kJ2dzcMPP8zTTz+N1ar5B0+p6rM7IiLC4dkiaAAzRoGBgfTo0YNly5aVHSsuLmbZsmUkJCRU+piEhAS78wGWLl1a5fnimJq8FwCvvPIKL7zwAklJSVx55ZWeGGq95+x70bFjR3bs2MG2bdvKbjfffDPXXXcd27Zto3Xr1p4cfr1Sk5+La665hn379pUFpwA//fQTsbGxCopqoSbvRU5OToXgpzRgNdSK1KNc9tntXF543TR79mwjKCjImDlzprFr1y7j4YcfNiIjI43U1FTDMAxj5MiRxsSJE8vO/+677wx/f3/j1VdfNXbv3m1MmjRJ2/VdxNn34qWXXjICAwONL7/80khJSSm7ZWZmeusl1BvOvhfn064013H2vTh8+LARHh5ujBkzxti7d6+xcOFCIzo62vjb3/7mrZdQbzj7XkyaNMkIDw83Pv30U+PAgQPG119/bXTo0MG48847vfUS6o3MzExj69atxtatWw3A+Oc//2ls3brVOHTokGEYhjFx4kRj5MiRZeeXbtd/4oknjN27dxtvvfWWtutfyBtvvGG0adPGCAwMNHr27GmsX7++7L5+/foZo0aNsjv/888/Ny655BIjMDDQuOyyy4xFixZ5eMT1lzPvRdu2bQ2gwm3SpEmeH3g95OzPxbkUGLmWs+/F2rVrjauvvtoICgoy2rdvb0yZMsUoLCz08KjrJ2fei4KCAuO5554zOnToYAQHBxutW7c2HnnkEePXX3/1/MDrmW+//bbS3/+l3/9Ro0YZ/fr1q/CYyy+/3AgMDDTat29vzJgxw+nntRiG5vpEREREoAHkGImIiIg4SoGRiIiISAkFRiIiIiIlFBiJiIiIlFBgJCIiIlJCgZGIiIhICQVGIiIiIiUUGImIiIiUUGAkIiIiUkKBkYiIiEgJBUYi4tM+/fRTQkJCSElJKTv2wAMP0LVrV9LT02t83VatWvH222/bHVu7di2hoaEcOnSoxtcVkbpNgZGI+LS77rqLSy65hBdffBGASZMm8c0337BkyRJsNluNr3v11Vfz/fffl31tGAaPPfYY48aNo23btrUet4jUTQqMRMSnWSwWpkyZwrvvvsuUKVN44403SEpKomXLlgD85je/oXHjxtxxxx1OXbdXr152gdFHH33EkSNHePLJJ2t1XRGp2yyGYRjeHoSISHW6d+/Ojz/+yNdff02/fv3Kjq9YsYLMzEw++OADvvzyS4evt3r1avr37096ejoWi4VLL72UyZMn8+CDD9bquiJSt2nGSER8XlJSEnv27KGoqIjmzZvb3de/f3/Cw8OdvmaPHj2wWq1s2bKFl19+mWbNmvHAAw/U+roiUrcpMBIRn7ZlyxbuvPNO3n//fa6//nr++te/uuS6oaGhdOnShf/+97+8+uqrvPbaa1it+pUo0tD5e3sAIiJVOXjwIMOGDeOpp57i7rvvpn379iQkJLBlyxa6d+9e6+v36tWLN954g1tuuYX+/fvXfsAiUufpzyMR8UlpaWkMGTKEW265hYkTJwLmTrKhQ4fy1FNPOXSNmTNnYrFYqry/W7duBAQE8Pe//90lYxaRuk8zRiLik6KiotizZ0+F44sWLXL4GsnJyXaJ2uebPXs2Y8aM4aKLLqrRGEWk/lFgJCJ12g033MD27dvJzs6mVatWfPHFFyQkJACwZMkS3nzzTbvzi4uLOXnyJO+//z4///wz8+bNc/q6IlJ/abu+iDQoK1asYMCAAXTs2JEZM2Zw9dVXe3tIIuJDFBiJiIiIlFDytYiIiEgJBUYiIiIiJRQYiYiIiJRQYCQiIiJSQoGRiIiISAkFRiIiIiIlFBiJiIiIlFBgJCIiIlJCgZGIiIhICQVGIiIiIiX+P7l3zra8Z0jmAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# We start with pure n-butane\n", "z0 = [0, 1]\n", "# We reach to pure CO2\n", "zi = [1, 0]\n", "\n", "tx = model.phase_envelope_tx(z0=z0, zi=zi, pressure=1, t0=250, ds0=0.01, a0=0.01)\n", "\n", "plt.plot(tx[\"x\"][:, 0], tx[\"T\"], marker=\"o\", label=\"Bubble\")\n", "plt.plot(tx[\"y\"][:, 0], tx[\"T\"], marker=\"o\", label=\"Dew\")\n", "\n", "plt.xlabel(r\"$x_1,y_1$\")\n", "plt.ylabel(r\"Temperature [K]\")\n", "plt.legend()\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Ussually, it is better to start $Tx$ envelopes from the light component instead\n", "of the heavy one. For this, we can change the initial value of `a` and `ds0`, \n", "to trace the line from right to left." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z0 = [0, 1]\n", "zi = [1, 0]\n", "\n", "tx = model.phase_envelope_tx(\n", " z0=z0, zi=zi, pressure=1, t0=200, a0=0.9999, ds0=-0.01\n", ")\n", "\n", "plt.plot(tx[\"x\"][:, 0], tx[\"T\"], marker=\"o\", label=\"Dew\")\n", "plt.plot(tx[\"y\"][:, 0], tx[\"T\"], marker=\"o\", label=\"Bubble\")\n", "plt.legend()\n", "plt.xlim(0, 1)\n", "plt.xlabel(r\"$x_1,y_1$\")\n", "plt.ylabel(r\"Temperature [K]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Critical lines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculation of critical points" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'x': [array([0.5, 0.5])],\n", " 'Tc': 385.93041053482506,\n", " 'Pc': 68.20061554749196,\n", " 'Vc': 0.1848177989735669}" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Calculation of the critical point at z = [0.5, 0.5]\n", "model.critical_point(z0=[0.5, 0.5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Calculation of critical lines" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cl = model.critical_line(z0=[1, 0], zi=[0, 1], a0=1e-2, s=1e-2)\n", "\n", "plt.plot(cl[\"a\"], cl[\"P\"])\n", "\n", "plt.xlabel(r\"$x_2$\")\n", "plt.ylabel(r\"$P [bar]$\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, '$P [bar]$')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(cl[\"T\"], cl[\"P\"])\n", "\n", "plt.xlabel(r\"$T [K]$\")\n", "plt.ylabel(r\"$P [bar]$\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Stability analysis\n", "In `yaeos` it is possible to make stability analysis using the $tm$ function\n", "defined by Michelsen and Møllerup\n", "\n", "\\begin{equation}\n", "tm = 1 + \\sum_i w_i (\\ln w_i + \\ln \\phi_i(\\mathbf{w}) - \\ln z_i - \\ln \\phi_i(\\mathbf{z}))\n", "\\end{equation}\n", "\n", "where $\\mathbf{w}$ and $\\mathbf{z}$ are the mole numbers of the trial and test\n", "phase.\n", "\n", "To show how to use the stability methods, we first define a system a find a\n", "region where there is phase equilibria. For this we obtain the critical constants\n", "with the `chemicals` library and trace a phase envelope." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import yaeos\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import chemicals\n", "\n", "components = [\"methane\", \"propane\"]\n", "\n", "ids = [chemicals.CAS_from_any(name) for name in components]\n", "\n", "Tc = [chemicals.critical.Tc(id) for id in ids]\n", "Pc = [chemicals.critical.Pc(id) / 1e5 for id in ids]\n", "w = [chemicals.acentric.omega(id) for id in ids]\n", "\n", "z = [0.3, 0.7]\n", "\n", "model = yaeos.PengRobinson78(Tc, Pc, w)\n", "\n", "env = model.phase_envelope_pt(z, kind=\"bubble\")\n", "\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Envelope\")\n", "plt.scatter(env[\"Tc\"], env[\"Pc\"], color=\"red\", label=\"Critical point\")\n", "plt.xlabel(\"T [K]\")\n", "plt.ylabel(\"P [bar]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can take a point of the phase envelope and calculate the $tm$ function at pressures\n", "sligthly above and slightly below." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "np.float64(36.862735486576916)" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# We take the high pressure point of the envelope closest to 250 K\n", "T = 250\n", "closest_index = np.where(abs(env[\"T\"] - T) < 2)\n", "Psat = max(env[\"P\"][closest_index])\n", "\n", "T_index = np.argmin(abs(env[\"P\"] - Psat))\n", "T = env[\"T\"][T_index]\n", "\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Envelope\")\n", "plt.scatter(T, Psat)\n", "plt.scatter(T, Psat + 5)\n", "plt.scatter(T, Psat - 5)\n", "plt.ylabel(\"P [bar]\")\n", "plt.xlabel(\"T [K]\")\n", "plt.show()\n", "Psat" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "How would the `tm` function values compare in those three points?\n", "To know that, we will sweep on values of $\\mathbf{w_1}$ between $0$ and $1$ and\n", "plot the results." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws = np.linspace(0, 1, 100)\n", "\n", "Ps = [Psat + 5, Psat, Psat - 5]\n", "\n", "for P in Ps:\n", " tms = []\n", " for w1 in ws:\n", " w = [w1, 1 - w1]\n", " tm = model.stability_tm(z=z, w=w, pressure=P, temperature=T)\n", " tms.append(tm)\n", " plt.plot(ws, tms, label=f\"{P:2f}\")\n", "\n", "plt.xlabel(\"w1\")\n", "plt.ylabel(\"tm\")\n", "plt.axhline(0, color=\"black\", linestyle=\"--\")\n", "plt.legend(title=\"Pressure [bar]\")\n", "plt.title(\n", " \"\"\"\n", " Comparison of tm values at different pressures. \n", " It is clear that above the saturation pressure the composition z is stable.\n", " But, below the saturation pressure the composition z is unstable and another phase appears.\n", " \"\"\"\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What if we have a ternary mixture?" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import yaeos\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import chemicals\n", "\n", "components = [\"methane\", \"propane\", \"n-butane\"]\n", "\n", "ids = [chemicals.CAS_from_any(name) for name in components]\n", "\n", "Tc = [chemicals.critical.Tc(id) for id in ids]\n", "Pc = [chemicals.critical.Pc(id) / 1e5 for id in ids]\n", "w = [chemicals.acentric.omega(id) for id in ids]\n", "\n", "z = [0.2, 0.2, 0.6]\n", "\n", "model = yaeos.PengRobinson78(Tc, Pc, w)\n", "\n", "env = model.phase_envelope_pt(z, kind=\"bubble\", max_points=1000)\n", "\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Envelope\")\n", "plt.scatter(env[\"Tc\"], env[\"Pc\"], label=\"Critical point\", color=\"red\")\n", "plt.ylabel(\"P [bar]\")\n", "plt.xlabel(\"T [K]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can make the stability anaylisis sweeping on the composition of two\n", "components (using $1 - w_1 - w_2$ for the remaining one) at \n", "a specified $T$ and $P$, and save the results." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "eps = 1e-15\n", "npoints = 1000\n", "w1s = np.linspace(0, 1, npoints)\n", "w2s = np.linspace(0, 1, npoints)\n", "tms = np.ones((npoints, npoints))\n", "tms *= np.nan\n", "\n", "P, T = 40, 350\n", "\n", "minval = 0\n", "for j, w1 in enumerate(w1s):\n", " for i, w2 in enumerate(w2s):\n", " w = [w1, w2, 1 - w1 - w2]\n", "\n", " if w[-1] <= 0:\n", " continue\n", "\n", " tm = model.stability_tm(z=z, w=w, pressure=P, temperature=T)\n", " if tm < minval:\n", " w_min = w\n", " minval = tm\n", " tms[i, j] = tm\n", "\n", "plt.imshow(tms, extent=(0, 1, 0, 1), origin=\"lower\", aspect=\"auto\")\n", "plt.contour(\n", " tms,\n", " extent=(0, 1, 0, 1),\n", " levels=[i / 10 for i in range(-25, 25)],\n", " origin=\"lower\",\n", " colors=\"black\",\n", ")\n", "\n", "plt.scatter(z[0], z[1], color=\"red\", label=\"Test phase\")\n", "plt.scatter(w_min[0], w_min[1], color=\"blue\", label=\"New phase\")\n", "plt.colorbar()\n", "plt.legend()\n", "plt.xlabel(r\"$z_1$\")\n", "plt.ylabel(r\"$z_2$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It is easy to notice that finding a minima by sweeping variables becomes harder\n", "and harder as more components are added. Luckily, in `yaeos` there is also\n", "the method `stability_analysis` that will use specific procedures to find\n", "the possible minima in an efficient way." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'w': array([0.65460664, 0.13648048, 0.20891288]), 'tm': -0.15793334532858538}" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minima, all_found_nimimas = model.stability_analysis(\n", " z, pressure=P, temperature=T\n", ")\n", "minima" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `stability_analysis` method returns a a tuple of dictionaries with two keys:\n", "\n", "- `w`: The trial phase composition at the minimimum found value of `tm`\n", "- `tm`: The miniumum value of `tm`\n", "\n", "The first output of the tuple corresponds to the lower minima found, and the\n", "second one will a found minima for each initialization. Each initialization\n", "begins when starting from a pure component, so it will have the length of \n", "number of components." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.65460664 0.13648048 0.20891288]\n", "[np.float64(0.6546546546546547), np.float64(0.13613613613613612), np.float64(0.2092092092092092)]\n" ] } ], "source": [ "# Comparing the found w_min with the one obtained before by sweeping\n", "# the composition space\n", "print(minima[\"w\"])\n", "print(w_min)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'w': array([0.65460664, 0.13648048, 0.20891288]), 'tm': -0.15793334532858538}" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "minima" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'tm': array([1.04563762, 1.17188022, 1.17188022]),\n", " 'w': array([[0.65460664, 0.13648048, 0.20891288],\n", " [0.2 , 0.2 , 0.6 ],\n", " [0.2 , 0.2 , 0.6 ]])}" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all_found_nimimas" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Pure components saturation lines" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "import yaeos\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import chemicals\n", "\n", "components = [\"methane\", \"propane\", \"carbon dioxide\", \"limonene\"]\n", "\n", "ids = [chemicals.CAS_from_any(name) for name in components]\n", "\n", "Tcs = [chemicals.critical.Tc(id) for id in ids]\n", "Pcs = [chemicals.critical.Pc(id) / 1e5 for id in ids]\n", "ws = [chemicals.acentric.omega(id) for id in ids]\n", "\n", "model = yaeos.PengRobinson78(Tcs, Pcs, ws)" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i, (Tc, Pc) in enumerate(zip(Tcs, Pcs)):\n", " P, T, Vx, Vy = yaeos.yaeos_c.pure_saturation_line(model.id, i + 1, 1, 100)\n", " plt.scatter(Tc, Pc)\n", " plt.plot(T, P, label=components[i])\n", "\n", "plt.xlim(0, max(Tcs) + 5)\n", "plt.ylim(0, max(Pcs) + 5)\n", "\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.title(\"Pure components saturation lines\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Three-phase envelopes\n", "\n", "Assymetric systems can have three-phase behaviour. One of the common cases\n", "where three-phase behavoir can be expected is when we have a an open \n", "two-phase envelope and another two-phase envelope inside, this second envelope\n", "is actually an unstable line, but can be used to estimate the start of a \n", "three-phase line." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First let's start by defining a model and calculating two two-phase envelopes.\n", "One starting from a dew point at low pressure and another starting from a bubble\n", "point at low temperature. Here it is possible to see the unstable bubble line." ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import yaeos\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import chemicals\n", "\n", "components = [\"methane\", \"carbon dioxide\", \"n-eicosane\"]\n", "\n", "ids = [chemicals.CAS_from_any(name) for name in components]\n", "\n", "Tc = [chemicals.critical.Tc(id) for id in ids]\n", "Pc = [chemicals.critical.Pc(id) / 1e5 for id in ids]\n", "w = [chemicals.acentric.omega(id) for id in ids]\n", "\n", "kij = np.zeros((len(ids), len(ids)), order=\"F\")\n", "\n", "kij[0, 1] = kij[1, 0] = 0.1\n", "kij[1, 2] = kij[2, 1] = 0.2\n", "\n", "mixrule = yaeos.QMR(kij=kij, lij=0*kij)\n", "model = yaeos.PengRobinson78(Tc, Pc, w, mixrule=mixrule)\n", "\n", "z = [0.2, 0.4, 0.4]\n", "dew = model.phase_envelope_pt(z, kind=\"dew\", t0=300, p0=0.1, max_points=600)\n", "bub = model.phase_envelope_pt(z, kind=\"bubble\", t0=200, p0=10, max_points=100)\n", "\n", "plt.plot(dew[\"T\"], dew[\"P\"])\n", "plt.scatter(dew[\"Tc\"], dew[\"Pc\"])\n", "plt.plot(bub[\"T\"], bub[\"P\"])\n", "\n", "\n", "x, y = bub[\"T\"][0], bub[\"P\"][0]\n", "plt.annotate(\"Unstable\", (x+5, y+5), xytext=(x - 10, y + 50), arrowprops=dict(arrowstyle=\"->\"))\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This unstable phase envelope can be used to start a three-phase envelope.\n", "First let's see how a three-phase point is described.\n", "\n", "A three-phase point can be described as the point where three-phases are in\n", "equilibrium. We can define this phases with the letters \n", "$\\mathbf{x}$, $\\mathbf{y}$ and $\\mathbf{w}$. In our case we are defining a\n", "saturation line, a line where one of the phases is incipient (it exists with a\n", "molar fraction of zero)." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'x': array([0.05824741, 0.17634038, 0.7654122 ]), 'y': array([3.55170062e-01, 6.44829938e-01, 1.59620402e-11]), 'Vx': 0.3814714130685887, 'Vy': 1.1204163454867, 'P': 16.376521867058983, 'T': 249.99999999999991, 'beta': 0.47740577194646566}\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T, P, y = bub[\"T\"][0], bub[\"P\"][0], bub[\"y\"][0]\n", "flash = model.flash_pt(z, temperature=T+50, pressure=P)\n", "print(flash)\n", "\n", "w = y\n", "x = z\n", "y = flash[\"y\"]\n", "beta = flash[\"beta\"]\n", "\n", "\n", "env3 = model.phase_envelope_pt3(z=z, x0=x, y0=y, w0=w, beta0=beta, t0=T, p0=P)\n", "\n", "plt.plot(env3[\"T\"], env3[\"P\"], linestyle=\"--\")\n", "plt.title(\"Three-phase envelope\")\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We now can plot the phase diagram including the three-phase envelope, and\n", "removing the unstable line." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dew[\"T\"], dew[\"P\"], label=\"two-phase line\")\n", "plt.plot(env3[\"T\"], env3[\"P\"], linestyle=\"--\", label=\"three-phase line\")\n", "\n", "plt.title(\"Full phase diagram\")\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.legend()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "thermo", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.1" } }, "nbformat": 4, "nbformat_minor": 2 }