{ "cells": [ { "cell_type": "markdown", "id": "4480c52b", "metadata": {}, "source": [ "# Binary Systems Diagrams\n", "\n", "Phase diagrams of binary mixtures are extremely important to understand the \n", "phase behaviour of mixtures, make predictions and evaluate models.\n", "\n", "In `yaeos` the `GPEC` algorithm has been partially implemented. This algorithm\n", "allows the efficient calculation of phase diagrams for binary mixtures.\n", "\n", "> Warning: This implementation is still a working in progress and due to \n", "> several changes in the future. Revisions and opinions are also welcomed!" ] }, { "cell_type": "code", "execution_count": 1, "id": "ae49da2b", "metadata": {}, "outputs": [], "source": [ "import yaeos\n", "import matplotlib.pyplot as plt\n", "import numpy as np" ] }, { "cell_type": "markdown", "id": "3d092762", "metadata": {}, "source": [ "## Global Phase Equilibria Diagram (GPED)\n", "\n", "In `yaeos` the $GPED$ of a binary mixture is easy to generate. First, we define\n", "the model (EoS) that we want to use. Once the model is defined we use the\n", "object `GPEC` that receives as argument the defined model." ] }, { "cell_type": "markdown", "id": "ba8890e0", "metadata": {}, "source": [ "First we define the mixture that we are going to study, we will use the \n", "binary mixture of $CO_2$ and $nC_4$." ] }, { "cell_type": "code", "execution_count": 2, "id": "60993bde", "metadata": {}, "outputs": [], "source": [ "# Pure compounds properties\n", "Tc = np.array([304.2, 425.1]) # critical temperature of CO2 and n-butane [K]\n", "Pc = np.array([73.8, 38.0]) # critical pressure of CO2 and n-butane [bar]\n", "w = np.array([0.2236, 0.200164]) # acentric factor of CO2 and n-butane [-]" ] }, { "cell_type": "markdown", "id": "5f44fde4", "metadata": {}, "source": [ "Once we have defined our system, we define the model to use. For this case\n", "we will use the PengRobinson78 Equation of State, with the classical quadratic\n", "mixing rules using a constant $k_{ij}=0.1$ and $l_{ij}=0$" ] }, { "cell_type": "code", "execution_count": 3, "id": "0f21968d", "metadata": {}, "outputs": [], "source": [ "kij = np.zeros((2, 2)) # binary interaction parameter matrix\n", "kij[0, 1] = kij[1, 0] = 0.1 # CO2-n-butane\n", "\n", "\n", "mixrule = yaeos.QMR(kij=kij, lij=0*kij)\n", "\n", "model = yaeos.PengRobinson78(Tc, Pc, w, mixrule)" ] }, { "cell_type": "markdown", "id": "bc8e6090", "metadata": {}, "source": [ "Once we have everything defined. We just instantiate a `GPEC` object like \n", "follows." ] }, { "cell_type": "code", "execution_count": 4, "id": "4f424bfc", "metadata": {}, "outputs": [], "source": [ "gpec = yaeos.GPEC(model)" ] }, { "cell_type": "markdown", "id": "bd7d7590", "metadata": {}, "source": [ "### Plotting diagrams\n", "We can now plot the different kind of phase diagrams calculated for a \n", "binary mixture. Starting with the global phase equilibrium diagram, we use\n", "the method `plot_gped`.\n", "\n", "Here we can see how to do it, and the resulting diagram, where it is possible\n", "to see the vapor pressure lines for each pure component and two critical lines.\n", "One corresponding to the LV equilibrium line, that goes from one pure component\n", "critical point to the other and a LL equilibrium line. This second line starts\n", "from high pressure and ends at a lower critical end point." ] }, { "cell_type": "code", "execution_count": 5, "id": "bd8998d0", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gpec.plot_gped()\n", "\n", "plt.ylim(0, 100)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "93fcd5f0", "metadata": {}, "source": [ "### Plotting isotherms (Pxy diagrams)\n", "It is also possible to calculate $Pxy$ diagrams, just specifying the temperature.\n", "This is done with the `plot_pxy` method, which plots the phase diagram and\n", "outputs the calculated values too." ] }, { "cell_type": "code", "execution_count": 6, "id": "1eaa3024", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 1.0)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gpec.plot_pxy(temperature=350)\n", "\n", "plt.xlim(0, 1)" ] }, { "cell_type": "markdown", "id": "b315cc40", "metadata": {}, "source": [ "### Pxy regions with LL equilibria\n", "\n", "The GPEC algorithm will detect if the Liquid-Liquid critical line exists at the specified temperature and will calculate the corresponding LL region." ] }, { "cell_type": "code", "execution_count": 10, "id": "62d23482", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "gpec.plot_pxy(temperature=210, color=\"black\", linewidth=0.5)\n", "plt.yscale('log')\n", "plt.yscale('log')\n", "\n", "plt.annotate(\"L + G\", xy=(0.2, 0.5), xytext=(0.3, 0.5))\n", "plt.annotate(\"L + L\", xy=(0.7, 3000), xytext=(0.7, 3000))\n", "plt.xlim(0, 1)\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "466ab006", "metadata": {}, "source": [ "### Plot isobaric (Txy) diagrams\n", "\n", "It is also possible to calculate isobaric diagrams. This is done in a similar\n", "way that isothermic ones, but in this case we use the `plot_txy` method. This\n", "method receives the specified pressure for this." ] }, { "cell_type": "code", "execution_count": 8, "id": "a09026ec", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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