{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Cubic Equations of State\n", "\n", "There is one more thing to show of the Python API that `yaeos` supports.\n", "At this point of the tutorial we have been using cubic equations of state\n", "to perform different calculations. The experience users may have noticed\n", "that we never set any interaction parameters for the cubic equations of state.\n", "\n", "`yaeos` support the following mixing rules for cubic equations of state:\n", "\n", "- QMR: quadratic mixing rule\n", "- MHV: modified Huron-Vidal mixing rule\n", "\n", "You can check the available mixing rules by running the following command:" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u001b[0;31mType:\u001b[0m module\n", "\u001b[0;31mString form:\u001b[0m \n", "\u001b[0;31mFile:\u001b[0m ~/docs/programming/python/virtualenvs/thermo/lib/python3.13/site-packages/yaeos/models/__init__.py\n", "\u001b[0;31mDocstring:\u001b[0m \n", "Models module.\n", "\n", "Yaeos models module. This module provides the following submodules:\n", "\n", "- excess_gibbs: Excess Gibbs energy models\n", " - NRTL: non-random two-liquid model\n", " - UNIFACVLE: Original UNIFAC VLE model\n", " - UNIQUAC: UNIversal QUAsiChemical Excess Gibbs free energy model\n", "\n", "- residual_helmholtz: Residual Helmholtz energy models\n", " - Cubic EoS:\n", " - PengRobinson76: Peng-Robinson model (1976)\n", " - PengRobinson78: Peng-Robinson model (1978)\n", " - SoaveRedlichKwong: Soave-Redlich-Kwong model\n", " - RKPR: RKPR model\n", " - Mixing rules: mixing rules for cubic EoS\n", " - QMR: cuadratic mixing rule\n", " - MHV: modified Huron-Vidal mixing rule" ] } ], "source": [ "import yaeos\n", "\n", "?yaeos.models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quadratic mixing rule (QMR)\n", "\n", "The QMR is the default mixing rule for all cubic equations of state. But it is\n", "always set with all the interaction parameters equals to zero by default.\n", "\n", "To set the $k_{ij}$ and $l_{ij}$ interaction matrix you can do the following:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "from yaeos import PengRobinson76, QMR\n", "import numpy as np\n", "\n", "tcs = np.array([190.6, 369.8]) # critical temperatures [K]\n", "pcs = np.array([45.99, 42.48]) # critical pressures [bar]\n", "w = np.array([0.0115, 0.0866]) # acentric factors [-]\n", "\n", "# binary interaction parameters\n", "kij = np.array([[0.0, 0.1], [0.1, 0.0]])\n", "\n", "lij = np.array([[0.0, 0.01], [0.01, 0.0]])\n", "\n", "# Set QMR\n", "mixing_rule = QMR(kij=kij, lij=lij)\n", "\n", "# Set a model with the QMR with parameters\n", "model_kij = PengRobinson76(\n", " critical_temperatures=tcs,\n", " critical_pressures=pcs,\n", " acentric_factors=w,\n", " mixrule=mixing_rule,\n", ")\n", "\n", "# Set model without QMR (QMR with all kij and lij as zero)\n", "model = PengRobinson76(tcs, pcs, w)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There we have instantiated a `PengRobinson76` with the QMR mixing rule with\n", "fantasy interaction parameters. And then we instantiated a `PengRobinson76`\n", "with no interaction parameters as we have been doing.\n", "\n", "With the model with interaction parameters we can calculate the same things\n", "that we have been calculating at this tutorial. But to show that there is a\n", "difference, we can calculate a phase envelope and see what happens." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Pressure [bar]')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "z = np.array([0.5, 0.5])\n", "t0 = 150.0\n", "p0 = 1.0\n", "\n", "# Envelope with the model with kij and lij\n", "env_kij = model_kij.phase_envelope_pt(z, t0=t0, p0=p0)\n", "\n", "# Envelope with the model without kij and lij\n", "env = model.phase_envelope_pt(z, t0=t0, p0=p0)\n", "\n", "# Plot\n", "plt.plot(env_kij[\"T\"], env_kij[\"P\"], label=\"With kij and lij\")\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Without kij and lij\")\n", "\n", "plt.legend()\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The QMR mix rule can be used with any cubic equation of state that `yaeos`\n", "supports." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## QMR with temperature dependance of $k_{ij}$\n", "It is possible also to give some dependance of temperature to the $k_{ij}$\n", "values, corresponding to the equation:\n", "\n", "$$\n", " k_{ij}(T) = k_{ij}^{\\infty} + k_{ij}^{0} \\exp{\\left(-T/T^{ref}\\right)}\n", "$$" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "6.959049536037986" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from yaeos import QMRTD, PengRobinson76\n", "\n", "tcs = np.array([190.6, 369.8]) # critical temperatures [K]\n", "pcs = np.array([45.99, 42.48]) # critical pressures [bar]\n", "w = np.array([0.0115, 0.0866]) # acentric factors [-]\n", "\n", "# binary interaction parameters\n", "\n", "# Strong repulsions at low temperatures\n", "kij_0 = [[0.0, 0.23], [0.23, 0.0]]\n", "\n", "# \"attraction\" at high temperatures\n", "kij_inf = [[0.0, -0.01], [-0.01, 0.0]]\n", "\n", "Tref = [[0.0, 350], [350, 0.0]]\n", "lij = [[0.0, 0.01], [0.01, 0.0]]\n", "\n", "# Quadratic mixing rule instance\n", "mixrule = QMRTD(kij_0, kij_inf, Tref, lij)\n", "\n", "model_kij_tdep = PengRobinson76(tcs, pcs, w, mixrule)\n", "\n", "model_kij_tdep.pressure([0.5, 0.5], 2, 200)" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Pressure [bar]')" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "z = np.array([0.5, 0.5])\n", "t0 = 150.0\n", "p0 = 1.0\n", "\n", "# Envelope with the model with kij and lij\n", "env_kij_tdep = model_kij_tdep.phase_envelope_pt(z, kind=\"dew\", t0=t0, p0=p0)\n", "\n", "\n", "# Plot\n", "plt.plot(env_kij_tdep[\"T\"], env_kij_tdep[\"P\"], label=\"With kij(T) and lij\")\n", "plt.plot(env_kij[\"T\"], env_kij[\"P\"], label=\"With kij and lij\")\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Without kij and lij\")\n", "\n", "plt.legend()\n", "plt.xlim(150, 350)\n", "plt.ylim(0, 150)\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Huron-Vidal mixing rule\n", "\n", "The Huron-Vidal mixing rule allows linking a Cubic Equation of State with an\n", "Excess Gibbs model, this can be helpful to predict behaviour of systems with\n", "high asymmetry in polarity." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from yaeos import NRTL, HV, PengRobinson76\n", "import numpy as np\n", "\n", "tcs = np.array([190.6, 369.8]) # critical temperatures [K]\n", "pcs = np.array([45.99, 42.48]) # critical pressures [bar]\n", "w = np.array([0.0115, 0.0866]) # acentric factors [-]\n", "\n", "# binary interaction parameters for NRTL model\n", "aij = np.array([[0.0, -1.2], [0.5, 0.0]])\n", "\n", "bij = np.array([[0.0, 100.0], [-100.0, 0.0]])\n", "\n", "cij = np.array([[0.0, 0.3], [0.3, 0.0]])\n", "\n", "nrtl = NRTL(aij, bij, cij)\n", "\n", "mixing_rule = HV(ge=nrtl)\n", "\n", "# Set a model with the MHV with parameters\n", "model_hv_nrtl = PengRobinson76(\n", " critical_temperatures=tcs,\n", " critical_pressures=pcs,\n", " acentric_factors=w,\n", " mixrule=mixing_rule,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modified Huron-Vidal mixing rule (MHV)\n", "\n", "The other mixing rule that `yaeos` supports is the MHV mixing rule. To use it\n", "we need to instantiate an Excess Gibbs free energy model and pass it to the\n", "MHV mixing rule. The only Excess Gibbs free energy model that `yaeos` supports\n", "is the `NRTL` model. Let's see an example:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "from yaeos import NRTL, MHV, PengRobinson76\n", "import numpy as np\n", "\n", "mixing_rule = MHV(ge=nrtl, q=-0.53)\n", "\n", "# Set a model with the MHV with parameters\n", "model_mhv_nrtl = PengRobinson76(\n", " critical_temperatures=tcs,\n", " critical_pressures=pcs,\n", " acentric_factors=w,\n", " mixrule=mixing_rule,\n", ")" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Set a model with null kij and lij to compare later\n", "model = PengRobinson76(\n", " critical_temperatures=tcs, critical_pressures=pcs, acentric_factors=w\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's make first an envelope to see the difference and then explain what is\n", "happening." ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0, 150.0)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "z = np.array([0.5, 0.5])\n", "t0 = 150.0\n", "p0 = 1.0\n", "\n", "# Envelope with the model with HV and NRTL\n", "env_mhv_nrtl = model_mhv_nrtl.phase_envelope_pt(\n", " z, t0=t0, p0=p0, max_points=5000\n", ")\n", "\n", "# Envelope with the model with MHV and NRTL\n", "env_hv_nrtl = model_hv_nrtl.phase_envelope_pt(z, t0=t0, p0=p0, max_points=1000)\n", "\n", "# Envelope with the model without kij and lij\n", "env = model.phase_envelope_pt(z, t0=t0, p0=p0, max_points=1000)\n", "\n", "# Plot\n", "plt.plot(env_hv_nrtl[\"T\"], env_hv_nrtl[\"P\"], label=\"HV-NRTL\")\n", "plt.plot(env_mhv_nrtl[\"T\"], env_mhv_nrtl[\"P\"], label=\"MHV-NRTL\")\n", "plt.plot(env[\"T\"], env[\"P\"], label=\"Without kij and lij\")\n", "\n", "plt.legend()\n", "plt.xlabel(\"Temperature [K]\")\n", "plt.ylabel(\"Pressure [bar]\")\n", "plt.xlim(150, 350)\n", "plt.ylim(0, 150)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have instantiated a `NRTL` model with some interaction parameters and then\n", "instantiated a `MHV` mixing rule with the `NRTL` model. The `q` value of the\n", "`MHV` mixing rule is taken from bibliography. The value to use are:\n", "\n", "- q = -0.594 for Soave-Redlich-Kwong\n", "- q = -0.53 for Peng-Robinson\n", "- q = -0.85 for Van der Waals" ] } ], "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 }