{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Check Cubic EOS\n", "\n", "The values will not be precisely the same because Bell and Jager, JRN, 2016 used the conventional truncated values for $\\Omega_a$ and $\\Omega_b$ while teqp uses the exact values from Bell and Deiters, IECR, 2021" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt, numpy as np\n", "import matplotlib as mpl\n", "mpl.rcParams['figure.dpi']= 100\n", "import teqp" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Values taken from http://dx.doi.org/10.6028/jres.121.011\n", "Tc_K = [190.564, 154.581, 150.687]\n", "pc_Pa = [4599200, 5042800, 4863000]\n", "acentric = [0.011, 0.022, -0.002]\n", "z = np.array([0.5, 0.3, 0.2]) # mole fractions" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0960116460031759 0.096019116018396\n", "0.02360946208541689 0.023611667278971\n", "0.0017427456394558435 0.0017433108161805\n" ] }, { "data": { "text/plain": [ "{'Delta1': 2.414213562373095,\n", " 'Delta2': -0.41421356237309515,\n", " 'OmegaA': 0.4572355289213822,\n", " 'OmegaB': 0.07779607390388846,\n", " 'kind': 'Peng-Robinson'}" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = teqp.canonical_PR(Tc_K, pc_Pa, acentric)\n", "\n", "T = 800 # K\n", "rho = 5000 # mol/m^3\n", "print(model.get_Ar01(T, rho, z), 9.6019116018396e-002)\n", "print(model.get_Ar02n(T, rho, z)[2], 2.3611667278971e-002)\n", "print(model.get_Ar03n(T, rho, z)[3], 1.7433108161805e-003)\n", "model.get_meta()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.12741589269633935 0.12741566551477\n", "0.024896233252879204 0.024895937945147\n", "0.006098736292510815 0.006098653825619\n" ] }, { "data": { "text/plain": [ "{'Delta1': 1.0,\n", " 'Delta2': 0.0,\n", " 'OmegaA': 0.4274802335403417,\n", " 'OmegaB': 0.08664034996495766,\n", " 'kind': 'Soave-Redlich-Kwong'}" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = teqp.canonical_SRK(Tc_K, pc_Pa, acentric)\n", "\n", "T = 800 # K\n", "rho = 5000 # mol/m^3\n", "print(model.get_Ar01(T, rho, z), 1.2741566551477e-001)\n", "print(model.get_Ar02n(T, rho, z)[2], 2.4895937945147e-002)\n", "print(model.get_Ar03n(T, rho, z)[3], 6.0986538256190e-003)\n", "model.get_meta()" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "{'Delta1': 2.414213562373095, 'Delta2': -0.41421356237309515, 'OmegaA': 0.4572355289213822, 'OmegaB': 0.07779607390388846, 'kind': 'Peng-Robinson'}\n" ] }, { "data": { "text/plain": [ "([24221.746187758014, 1030.361868803444],\n", " [24222.536725733073, 1029.779329419418])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model = teqp.canonical_PR([Tc_K[0]], [pc_Pa[0]], [acentric[0]])\n", "print(model.get_meta())\n", "[rhoL, rhoV ] = model.superanc_rhoLV(150)\n", "\n", "import CoolProp.CoolProp as CP\n", "[rhoL, rhoV], CP.PropsSI('Dmolar','T',150,'Q',[0,1],'PR::METHANE').tolist()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.5" } }, "nbformat": 4, "nbformat_minor": 4 }