{ "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": "2024-12-12T18:09:39.321162Z", "iopub.status.busy": "2024-12-12T18:09:39.321010Z", "iopub.status.idle": "2024-12-12T18:09:39.670094Z", "shell.execute_reply": "2024-12-12T18:09:39.669512Z" } }, "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": "2024-12-12T18:09:39.672147Z", "iopub.status.busy": "2024-12-12T18:09:39.671798Z", "iopub.status.idle": "2024-12-12T18:09:39.813965Z", "shell.execute_reply": "2024-12-12T18:09:39.813402Z" } }, "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": "2024-12-12T18:09:39.816058Z", "iopub.status.busy": "2024-12-12T18:09:39.815754Z", "iopub.status.idle": "2024-12-12T18:09:39.859315Z", "shell.execute_reply": "2024-12-12T18:09:39.858823Z" } }, "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": "2024-12-12T18:09:39.860973Z", "iopub.status.busy": "2024-12-12T18:09:39.860681Z", "iopub.status.idle": "2024-12-12T18:09:39.896754Z", "shell.execute_reply": "2024-12-12T18:09:39.896284Z" } }, "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": "2024-12-12T18:09:39.898495Z", "iopub.status.busy": "2024-12-12T18:09:39.898186Z", "iopub.status.idle": "2024-12-12T18:09:45.581102Z", "shell.execute_reply": "2024-12-12T18:09:45.580577Z" } }, "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": "3.11.0" } }, "nbformat": 4, "nbformat_minor": 5 }