{ "cells": [ { "cell_type": "markdown", "id": "ef2685a7", "metadata": {}, "source": [ "# Multifluid+Activity\n", "\n", "Following the derivations in [Jaeger et al.](https://doi.org/10.1016/j.fluid.2018.04.015), the multifluid plus activity coefficient model can be defined as a the conventional corresponding states portion\n", "$$\n", "\\alpha^{\\rm r}_{\\rm CS} = \\sum_i \\alpha^{\\rm r}_{oi}(\\tau, \\delta)\n", "$$\n", "plus the departure term coming from the activity coefficient model\n", "$$\n", "\\alpha^{\\rm Dep}(T,\\rho,\\bar x) = \\frac{\\ln(1+b_{\\rm mix}\\rho)}{\\ln(1+\\frac{1}{u})}\\left[\\frac{g^{\\rm E,R}_{\\rm GE}(T,\n", "\\bar x)}{RT}-\\sum_{i=1}^Nx_i\\left(\\alpha^{\\rm r}_{oi}(\\delta_{\\rm ref},\\tau)-\\alpha^{\\rm r}_{oi}(\\delta_{i,ref}, \\tau_i)\\right)\\right]\n", "$$\n", "with \n", "$$\n", "b_{\\rm mix} = \\sum_i b_ix_i\n", "$$\n", "$$\n", "\\frac{g^{\\rm E,R}_{\\rm GE}(T,\n", "\\bar x)}{RT} = \\sum_ix_i\\ln\\left(\\gamma_i^{\\rm R}\\right)\n", "$$\n", "\n", "$$\n", "\\delta_{\\rm ref} = \\frac{1}{ub_{\\rm mix}\\rho_r(\\bar x)}\n", "$$\n", "$$\n", "\\delta_{i,{\\rm ref}} = \\frac{1}{ub_i\\rho_{c,i}}\n", "$$\n", "and the conventional reducing function is used to define $T_{\\rm r}(\\bar x)$ and $\\rho_{\\rm r}(\\bar x)$.\n", "\n", "Any activity coefficient model can be used for $\\gamma_i^{\\rm R}$, but so far (as of version 0.22) only the Wilson model is available due to how well it works with the advanced cubic mixing rules." ] }, { "cell_type": "code", "execution_count": 1, "id": "937c2216", "metadata": { "execution": { "iopub.execute_input": "2025-10-15T23:08:40.644112Z", "iopub.status.busy": "2025-10-15T23:08:40.643993Z", "iopub.status.idle": "2025-10-15T23:08:41.611984Z", "shell.execute_reply": "2025-10-15T23:08:41.611411Z" } }, "outputs": [], "source": [ "import io, teqp, numpy as np, CoolProp.CoolProp as CP\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 2, "id": "4e03c647", "metadata": { "execution": { "iopub.execute_input": "2025-10-15T23:08:41.613989Z", "iopub.status.busy": "2025-10-15T23:08:41.613769Z", "iopub.status.idle": "2025-10-15T23:08:41.799626Z", "shell.execute_reply": "2025-10-15T23:08:41.799034Z" } }, "outputs": [], "source": [ "# Four isotherms of experimental data for CO2 + Nitrogen from doi: 10.1016/j.fluid.2016.05.015\n", "import pandas\n", "dat = pandas.read_csv(io.StringIO(\"\"\"PointID y1 uy1 x1 ux1 p/bar up T/K\n", "1 0.0274 0.0007 0.0068 0.0002 59.830 0.053 293.10 \n", "2 0.0664 0.0014 0.0183 0.0004 64.864 0.080 293.10 \n", "3 0.0978 0.0020 0.0298 0.0007 69.772 0.080 293.10 \n", "4 0.1199 0.0024 0.0424 0.0009 74.737 0.080 293.10 \n", "5 0.1219 0.0028 0.1132 0.0023 89.869 0.080 293.10 \n", "6 0.1339 0.0024 0.0995 0.0022 89.198 0.080 293.10 \n", "7 0.1399 0.0026 0.0943 0.0020 88.853 0.080 293.10 \n", "8 0.1461 0.0027 0.0823 0.0019 86.962 0.080 293.10 \n", "9 0.1466 0.0028 0.0778 0.0017 85.942 0.080 293.10 \n", "10 0.1466 0.0028 0.0772 0.0016 85.868 0.080 293.10 \n", "1 0.1378 0.0027 0.0159 0.0004 42.667 0.051 273.08 \n", "2 0.2143 0.0038 0.0297 0.0007 49.547 0.051 273.08 \n", "3 0.2612 0.0043 0.0411 0.0009 55.238 0.051 273.08 \n", "4 0.3209 0.0049 0.0609 0.0013 65.069 0.088 273.08 \n", "5 0.3554 0.0051 0.0786 0.0016 73.395 0.088 273.08 \n", "6 0.3758 0.0052 0.0978 0.0019 81.061 0.088 273.08 \n", "7 0.3903 0.0053 0.1190 0.0023 90.706 0.088 273.08 \n", "8 0.3914 0.0053 0.1477 0.0028 100.966 0.088 273.08 \n", "9 0.3879 0.0053 0.1614 0.0030 104.806 0.088 273.08 \n", "10 0.3724 0.0052 0.1875 0.0033 110.846 0.088 273.08\n", "11 0.3550 0.0051 0.2068 0.0036 114.105 0.088 273.08\n", "12 0.2727 0.0044 0.2531 0.0041 118.020 0.088 273.08\n", "13 0.3343 0.0049 0.2268 0.0038 116.295 0.088 273.08\n", "1 0.2048 0.0038 0.0106 0.0003 25.754 0.050 253.05 \n", "2 0.3019 0.0049 0.0217 0.0005 30.479 0.050 253.05 \n", "3 0.4638 0.0056 0.0436 0.0010 45.352 0.050 253.05 \n", "4 0.5319 0.0056 0.0647 0.0014 58.188 0.050 253.05 \n", "5 0.5854 0.0054 0.1077 0.0021 78.315 0.084 253.05 \n", "6 0.5979 0.0054 0.1497 0.0028 98.276 0.084 253.05\n", "7 0.5898 0.0054 0.1801 0.0032 109.241 0.084 253.05\n", "8 0.5042 0.0057 0.0570 0.0012 51.343 0.084 253.05\n", "9 0.5644 0.0055 0.0861 0.0017 67.594 0.084 253.05\n", "10 0.5949 0.0054 0.1267 0.0024 86.883 0.084 253.05\n", "11 0.5826 0.0054 0.2015 0.0035 116.614 0.084 253.05\n", "12 0.5537 0.0055 0.2431 0.0040 129.873 0.084 253.05\n", "13 0.4973 0.0055 0.2971 0.0046 139.161 0.084 253.05\n", "14 0.4971 0.0055 0.2972 0.0046 139.261 0.084 253.05\n", "1 0.7076 0.0050 0.0257 0.0006 27.983 0.056 223.10\n", "2 0.7774 0.0041 0.0522 0.0011 44.918 0.056 223.10\n", "3 0.8077 0.0036 0.0930 0.0019 64.906 0.081 223.10\n", "4 0.8131 0.0035 0.1261 0.0024 84.799 0.081 223.10\n", "5 0.8057 0.0035 0.1584 0.0029 104.410 0.081 223.10\n", "6 0.7843 0.0038 0.1982 0.0035 125.782 0.081 223.10\n", "7 0.7533 0.0041 0.2380 0.0040 144.287 0.081 223.10\n", "8 0.7150 0.0045 0.2813 0.0044 159.015 0.081 223.10\n", "9 0.6942 0.0047 0.3064 0.0047 165.347 0.081 223.10\n", "\"\"\"), sep='\\s+', engine='python')" ] }, { "cell_type": "code", "execution_count": 3, "id": "74404b8c", "metadata": { "execution": { "iopub.execute_input": "2025-10-15T23:08:41.801351Z", "iopub.status.busy": "2025-10-15T23:08:41.801201Z", "iopub.status.idle": "2025-10-15T23:08:41.836041Z", "shell.execute_reply": "2025-10-15T23:08:41.835512Z" } }, "outputs": [], "source": [ "Tc_K = np.array([304.21, 126.19])\n", "pc_Pa = np.array([7.383e6, 3395800.0])\n", "\n", "def get_bi():\n", " OmegaB = 0.08664 \n", " R = 8.31446261815324\n", " return (OmegaB*R*Tc_K/pc_Pa).tolist()\n", "\n", "donor = teqp.build_multifluid_model([\"CO2\", \"Nitrogen\"], teqp.get_datapath())\n", "vc_m3mol = donor.get_vcvec()" ] }, { "cell_type": "code", "execution_count": 4, "id": "ab83b1d7", "metadata": { "execution": { "iopub.execute_input": "2025-10-15T23:08:41.837378Z", "iopub.status.busy": "2025-10-15T23:08:41.837235Z", "iopub.status.idle": "2025-10-15T23:08:41.843250Z", "shell.execute_reply": "2025-10-15T23:08:41.842805Z" } }, "outputs": [], "source": [ "# Parameter set with linear mixing in the reducing function\n", "BIP_linear = [{\n", " \"Name1\": \"CarbonDioxide\",\n", " \"Name2\": \"Nitrogen\",\n", " \"betaT\": 1.0,\n", " \"gammaT\": 0.5*(Tc_K[0]+Tc_K[1])/(Tc_K[0]*Tc_K[1])**0.5,\n", " \"betaV\": 1.0,\n", " \"gammaV\": 4*(vc_m3mol[0]+vc_m3mol[1])/(vc_m3mol[0]**(1/3) + vc_m3mol[1]**(1/3))**3,\n", " \"F\": 0.0\n", "}]\n", "\n", "# Parameter set with Lorentz-Berthelot\n", "BIP_LorentzBerthelot = [{\n", " \"Name1\": \"CarbonDioxide\",\n", " \"Name2\": \"Nitrogen\",\n", " \"betaT\": 1.0,\n", " \"gammaT\": 1.0,\n", " \"betaV\": 1.0,\n", " \"gammaV\": 1.0,\n", " \"F\": 0.0\n", "}]\n", "\n", "def get_model(BIPset=None):\n", " if BIPset is not None and BIPset == 'linear':\n", " return teqp.make_model({\n", " 'kind': 'multifluid',\n", " \"model\":{\n", " \"components\": [\"CO2\", \"Nitrogen\"],\n", " \"root\": teqp.get_datapath(),\n", " \"BIP\": BIP_linear\n", " }})\n", "\n", " # The Wilson activity coefficient model is from Lasala et al.: https://doi.org/10.1016/j.fluid.2016.05.015\n", " # and then combined with the \n", " j = {\n", " \"kind\": \"multifluid-activity\",\n", " \"model\": {\n", " \"multifluid\":{\n", " \"components\": [\"CO2\", \"Nitrogen\"],\n", " \"root\": teqp.get_datapath(),\n", " \"BIP\": BIPset\n", " },\n", " \"activity\": {\n", " \"aresmodel\": {\n", " \"type\": \"Wilson\", \n", " \"m\": [[0.0, -3.4768], [3.5332, 0.0]], \n", " \"n\": [[0.0, 825], [-585, 0.0]], \n", " \"b\": get_bi()\n", " },\n", " \"options\": {\"u\": 1.17, \"b\": get_bi()}\n", " }\n", " }\n", " }\n", "\n", " return teqp.make_model(j) if BIPset is not None else donor" ] }, { "cell_type": "code", "execution_count": 5, "id": "500aa1ae", "metadata": { "execution": { "iopub.execute_input": "2025-10-15T23:08:41.844921Z", "iopub.status.busy": "2025-10-15T23:08:41.844749Z", "iopub.status.idle": "2025-10-15T23:08:46.553848Z", "shell.execute_reply": "2025-10-15T23:08:46.553312Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = ['linear+Wilson','Lorentz-Berthelot+Wilson','GERG-2008','linear']\n", "for imod, model in enumerate([get_model(BIP_linear), get_model(BIP_LorentzBerthelot), get_model(), get_model('linear')]):\n", " lw = 0.5+imod\n", " for T in [223.15, 253.05, 273.08, 293.1]:\n", " ipure = 0\n", "\n", " [rhoL0, rhoV0] = [CP.PropsSI('Dmolar','T',T,'Q',Q,'CO2') for Q in [0,1]]\n", "\n", " rhovecL0 = np.array([0.0, 0.0]); rhovecL0[ipure] = rhoL0\n", " rhovecV0 = np.array([0.0, 0.0]); rhovecV0[ipure] = rhoV0\n", "\n", " J = model.trace_VLE_isotherm_binary(T, rhovecL0, rhovecV0)\n", " df = pandas.DataFrame(J)\n", " plt.plot(df['xL_0 / mole frac.'], df['pL / Pa']/1e6,'k', lw=lw, label=labels[imod] if T == 223.15 else '')\n", " plt.plot(df['xV_0 / mole frac.'], df['pV / Pa']/1e6,'k', lw=lw)\n", " \n", "plt.title('CO$_2$ (1) + N$_2$ (2)')\n", "plt.plot(1-dat['x1'], dat['p/bar']/10, 'o')\n", "plt.plot(1-dat['y1'], dat['p/bar']/10, '^')\n", "plt.legend(loc='best')\n", "plt.gca().set(xlabel='$x_1$ / mole frac.', ylabel='$p$ / MPa', ylim=(0, 25))\n", "plt.savefig(\"multifluid_Wilson_CO2_N2.pdf\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e1b7813a", "metadata": {}, "source": [ "so we can see that the activity coefficient models are not too bad, clearly an improvement over pure linear mixing, but the model from GERG-2008 is unsurprisingly the most accurate" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.14" } }, "nbformat": 4, "nbformat_minor": 5 }