{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "# Cubic equations of state" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[32m\u001b[1m Activating\u001b[22m\u001b[39m project at `~/Library/CloudStorage/OneDrive-ImperialCollegeLondon/University/UROP/SAFT_codes/Clapeyron`\n" ] }, { "data": { "text/plain": [ "PyPlot" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "using Pkg\n", "Pkg.activate(\"..\")\n", "using Clapeyron, PyCall\n", "import PyPlot; const plt = PyPlot" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we will be giving examples of how one can use cubic equations of state in `Clapeyron.jl`, along with the extremely easy ways one can customise these using:\n", "- $\\alpha$-functions: These are meant to improve the modelling of pure VLE properties although modifications such as Boston-Matthias can have a significant impact on multi-component VLE. \n", "- Volume translation methods: Cubics generally don't predict very accurate liquid densities, particularly for hydrogen-bonding fluids. Volume translation improves the accuracy of this property without affecting the accuracy of VLE properties.\n", "- Mixing rules: To model multi-component systems, mixing rules are required to obtain the one-fluid-mixture parameters. These can vary greatly in terms of accuracy and, in some cases, may require an additional model." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## Vapour-liquid equilibria of water" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We'll be giving an example of how to modify the $\\alpha$-functions and volume-translation methods for a cubic model using the vapour-liquid equilibrium of water.\n", "\n", "As a first step, we need to generate the models:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Generating the models\n", "model1 = RK([\"water\"])\n", "model2 = PatelTeja([\"water\"])\n", "model3 = PR([\"water\"];alpha=TwuAlpha)\n", "model4 = PR([\"water\"];alpha=TwuAlpha,translation=RackettTranslation)\n", "\n", "# Concatenating them into one list\n", "models = [model1,model2,model3,model4];" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, all that we need to do to modify the $\\alpha$-function or volume translation method is use the optional arguments `alpha` and `translation`.\n", "\n", "We can now obtain the VLE envelope of water. We first need the critical point which can be obtained using `crit_pure`:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# Obtaining all of their critical points\n", "crit = crit_pure.(models);" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Subsequently, we can obtain the saturation curve using `saturation_pressure`:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Obtaining the saturation curve\n", "N = 300\n", "T = zeros(N,4)\n", "p = zeros(N,4)\n", "v_l = zeros(N,4)\n", "v_v = zeros(N,4)\n", "for i ∈ 1:4\n", " T[:,i] = range(285,crit[i][1],length=N)\n", " sat = saturation_pressure.(models[i],T[:,i])\n", " p[:,i] = [sat[i][1] for i ∈ 1:N]\n", " v_l[:,i] = [sat[i][2] for i ∈ 1:N]\n", " v_v[:,i] = [sat[i][3] for i ∈ 1:N]\n", "end" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Collecting some data from the NIST Chemistry Webbook" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "T_exp = [300,320,340,360,380,400,420,440,460,480,500,520,540,560,580,600,620,640,647.096]\n", "\n", "p_exp = [0.0035368,0.010546,0.027188,0.062194,0.12885,0.24577,0.4373,0.73367,1.1709,1.7905,2.6392,3.769,5.2369,7.1062,9.448,12.345,15.901,20.265,22.064]\n", "\n", "ρ_l_exp = [55.315,54.919,54.371,53.698,52.918,52.038,51.064,49.994,48.824,47.545,46.145,44.603,42.889,40.956,38.725,36.048,32.577,26.729,17.873728]\n", "\n", "ρ_v_exp = [0.0014204,0.0039778,0.0096808,0.021014,0.041537,0.076014,0.13055,0.21276,0.33209,0.50035,0.73265,1.0491,1.478,2.062,2.872,4.0434,5.9009,9.8331,17.873728];" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "Plotting:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting p-T curve\n", "plt.clf()\n", "plt.semilogy(T[:,1],p[:,1] ./1e6,label=\"RK\",linestyle=\":\",color=\"r\")\n", "plt.semilogy(T[:,2],p[:,2] ./1e6,label=\"PR\",linestyle=\"--\",color=\"g\")\n", "plt.semilogy(T[:,3],p[:,3] ./1e6,label=\"PR{TwuAlpha}\",linestyle=\"-.\",color=\"b\")\n", "plt.semilogy(T[:,4],p[:,4] ./1e6,label=\"PR{TwuAlpha, RackettTranslation}\",linestyle=\"-.\")\n", "plt.semilogy(T_exp,p_exp,label=\"Experimental\",marker=\"o\",linestyle=\"\",color=\"k\")\n", "# Create a legend of all the existing plots using their labels as names\n", "plt.legend(loc=\"lower right\",frameon=false,fontsize=12) \n", "plt.xlabel(\"Temperature / K\",fontsize=16)\n", "plt.ylabel(\"Pressure / MPa\",fontsize=16)\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "plt.xlim([300,650])\n", "plt.ylim([5e-3,3e1])\n", "display(plt.gcf())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As we can see above, the addition of volume translation hasn't affected the predicted saturation curve, but the modified $\\alpha$-function has. Twu _et al._ fitted their function against experimental data; it isn't so surprising then that their predictions are the most accurate." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plotting rho-T envelope\n", "plt.clf()\n", "plt.semilogx(1e-3 ./v_l[:,1],T[:,1],label=\"RK\",linestyle=\":\",color=\"r\")\n", "plt.semilogx(1e-3 ./v_v[:,1],T[:,1],label=\"\",linestyle=\":\",color=\"r\")\n", "plt.semilogx(1e-3 ./v_l[:,2],T[:,2],label=\"PR\",linestyle=\"--\",color=\"g\")\n", "plt.semilogx(1e-3 ./v_v[:,2],T[:,2],label=\"\",linestyle=\"--\",color=\"g\")\n", "plt.semilogx(1e-3 ./v_l[:,3],T[:,3],label=\"PR{TwuAlpha}\",linestyle=\"-.\",color=\"b\")\n", "plt.semilogx(1e-3 ./v_v[:,3],T[:,3],label=\"\",linestyle=\"-.\",color=\"b\")\n", "plt.semilogx(1e-3 ./v_l[:,4],T[:,4],label=\"PR{TwuAlpha, RackettTranslation}\",linestyle=(0, (3, 1, 1, 1)),color=\"purple\")\n", "plt.semilogx(1e-3 ./v_v[:,4],T[:,4],label=\"\",linestyle=(0, (3, 1, 1, 1)),color=\"purple\")\n", "plt.semilogx(ρ_l_exp,T_exp,label=\"Experimental\",marker=\"o\",linestyle=\"\",color=\"k\")\n", "plt.semilogx(ρ_v_exp,T_exp,label=\"\",marker=\"o\",linestyle=\"\",color=\"k\")\n", "\n", "plt.legend(loc=\"upper left\",frameon=false,fontsize=12) \n", "plt.xlabel(\"Density / (mol/L)\",fontsize=16)\n", "plt.ylabel(\"Temperature / K\",fontsize=16)\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "plt.xlim([1e-4,1e2])\n", "plt.ylim([300,650])\n", "display(plt.gcf())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "In our $\\rho-T$ envelope, we can see that the volume translation has indeed improve the predictions of our liquid volume. The $\\alpha$-function doesn't appear to have as significant an impact." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## $p-xy$ evenlope for carbon dioxide+carbon monoxide\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We use this case to illustrate how modifying an $\\alpha$-function can also have an impact on predicted VLE of a binary mixture, even when one component is supercritical. \n", "\n", "Once again, we generate the models first:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "model1 = PR([\"carbon monoxide\",\"carbon dioxide\"])\n", "model2 = PR([\"carbon monoxide\",\"carbon dioxide\"];alpha=BMAlpha)\n", "model3 = PR([\"carbon monoxide\",\"carbon dioxide\"];mixing=KayRule)\n", "model4 = VTPR([\"carbon monoxide\",\"carbon dioxide\"])\n", "model5 = VTPR([\"carbon monoxide\",\"carbon dioxide\"];alpha=BMAlpha)\n", "\n", "models = [model1,model2,model3,model4,model5];" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, we can also modify the mixing rule by using the optional argument `mixing`.\n", "\n", "Since carbon monoxide is supercritical, the VLE envelope with never reach a composition of $x_\\text{CO}=1$; as such, we limit the range of compositions up to the critical point of the mixture which has to be determined manually. We can then obtain the VLE envelope using the `bubble_pressure` function:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1\n", "\n", "2" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "3\n", "\n", "4" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "5\n", "\n" ] } ], "source": [ "N = 400\n", "\n", "T = 218.15\n", "x1 = range(1e-5,0.518,length=N)\n", "x2 = range(1e-5,0.512,length=N)\n", "x3 = range(1e-5,0.655,length=N)\n", "x4 = range(1e-4,0.56,length=N)\n", "x5 = range(1e-5,0.57,length=N)\n", "x = hcat(x1,x2,x3,x4,x5)\n", "X1 = Clapeyron.FractionVector.(x1)\n", "X2 = Clapeyron.FractionVector.(x2)\n", "X3 = Clapeyron.FractionVector.(x3)\n", "X4 = Clapeyron.FractionVector.(x4)\n", "X5 = Clapeyron.FractionVector.(x5)\n", "X = [X1,X2,X3,X4,X5]\n", "\n", "y = zeros(800,5)\n", "p = zeros(800,5)\n", "for i ∈ 1:5\n", " v0 = Clapeyron.x0_bubble_pressure(models[i],T,X[i][1])\n", " for j ∈ 1:400\n", " bub = bubble_pressure(models[i],T,X[i][j],v0=v0)\n", " p[j,i] = bub[1]\n", " p[800-j+1,i] = bub[1]\n", " y[j,i] = bub[4][1]\n", " y[800-j+1,i] = x[j,i]\n", " v0 = [log10(bub[2]),log10(bub[3]),bub[4][1],bub[4][2]]\n", " end\n", "end" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "The above is an example of how one can generate these figures quickly (and smoothly). We can re-use the solution from the previous iteration as an initial guess to the next iteration." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "plt.plot(y[:,1],p[:,1]./1e6,label=\"PR\",linestyle=\":\")\n", "plt.plot(y[:,2],p[:,2]./1e6,label=\"PR{BMAlpha}\",linestyle=\"--\")\n", "plt.plot(y[:,3],p[:,3]./1e6,label=\"PR{KayRule}\",linestyle=\"-.\")\n", "plt.plot(y[:,4],p[:,4]./1e6,label=\"VTPR\",linestyle=(0, (3, 1, 1, 1)))\n", "plt.plot(y[:,5],p[:,5]./1e6,label=\"VTPR{BMAlpha}\",linestyle=(0, (5, 1)))\n", "plt.legend(loc=\"upper left\",frameon=false,fontsize=12) \n", "plt.xlabel(\"composition of 1\",fontsize=16)\n", "plt.ylabel(\"Pressure / MPa\",fontsize=16)\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "plt.xlim([0,0.85])\n", "plt.ylim([0,30])\n", "display(plt.gcf())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the use of the Boston-Matthias $\\alpha$-function in the above example can greatly improve our predictions of the VLE; this is primarily because the standard $\\alpha$-function in Peng-Robinson begins to behave unphysically above the critical point (previous studies have highlighted that it can predict a second VLE region at high temperatures)." ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "## $p-xy$ diagram of methanol+cyclohexane" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We use this case to illustrate the impact of different mixing rules on our predicted VLE behaviour for the methanol+cyclohexane mixture.\n", "\n", "Once again, we generate the models first:" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [], "source": [ "model1 = SRK([\"methanol\",\"benzene\"])\n", "model2 = SRK([\"methanol\",\"benzene\"];mixing=HVRule,activity=UNIFAC)\n", "model3 = SRK([\"methanol\",\"benzene\"];mixing=MHV2Rule,activity=UNIFAC)\n", "model4 = SRK([\"methanol\",\"benzene\"];mixing=MHV2Rule,activity=COSMOSAC02)\n", "model5 = PSRK([\"methanol\",\"benzene\"])\n", "\n", "models = [model1,model2,model3,model4,model5];" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "As shown above, whilst we can specify the mixing rule using the optional argument `mixing`. However, for some mixing rules, we also need to specify an activity model, which can be specified using the optional argument `activity`.\n", "\n", "Since both components are sub-critical, we can scan the full composition space (once again, re-using initial guesses):" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "T = 433.15\n", "N = 200\n", "x = range(1e-5,1-1e-5,length=N)\n", "X = Clapeyron.FractionVector.(x)\n", "\n", "y = zeros(400,5)\n", "p = zeros(400,5)\n", "for i ∈ 1:5\n", " v0 = Clapeyron.x0_bubble_pressure(models[i],T,X[1])\n", " for j ∈ 1:200\n", " bub = bubble_pressure(models[i],T,X[j],v0=v0)\n", " p[j,i] = bub[1]\n", " p[400-j+1,i] = bub[1]\n", " y[j,i] = bub[4][1]\n", " y[400-j+1,i] = x[j]\n", " v0 = [log10(bub[2]),log10(bub[3]),bub[4][1],bub[4][2]]\n", " end\n", "end" ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "PyPlot.Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "plt.plot(y[:,1],p[:,1]./1e6,label=\"SRK\",linestyle=\":\")\n", "plt.plot(y[:,2],p[:,2]./1e6,label=\"SRK{HVRule{UNIFAC}}\",linestyle=\"--\")\n", "plt.plot(y[:,3],p[:,3]./1e6,label=\"SRK{MHV2Rule{UNIFAC}}}\",linestyle=\"-.\")\n", "plt.plot(y[:,4],p[:,4]./1e6,label=\"SRK{MHV2Rule{COSMOSAC02}}}\",linestyle=(0, (3, 1, 1, 1)))\n", "plt.plot(y[:,5],p[:,5]./1e6,label=\"PSRK\",linestyle=(0, (5, 1)))\n", "plt.legend(loc=\"upper left\",frameon=false,fontsize=12) \n", "plt.xlabel(\"composition of 1\",fontsize=16)\n", "plt.ylabel(\"Pressure / MPa\",fontsize=16)\n", "plt.xticks(fontsize=12)\n", "plt.yticks(fontsize=12)\n", "plt.ylim([0.7,2.5])\n", "plt.xlim([0,1])\n", "display(plt.gcf())" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": {}, "source": [ "We can see the drastic impact of changing the mixing rule and activity model on the predicted VLE behaviour. We can go from predicting no azeotrope using the default van der Waals one-fluid mixing rule, to over-predicting the azeotrope using even the high-accuracy PSRK equation of state" ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.9.2", "language": "julia", "name": "julia-1.9" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.9.2" } }, "nbformat": 4, "nbformat_minor": 2 }