{ "cells": [ { "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" ] }, { "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." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Vapour-liquid equilibria of water" ] }, { "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": [ { "ename": "UndefVarError", "evalue": "UndefVarError: PatelTeja not defined", "output_type": "error", "traceback": [ "UndefVarError: PatelTeja not defined\n", "\n", "Stacktrace:\n", " [1] top-level scope\n", " @ ~/Library/CloudStorage/OneDrive-ImperialCollegeLondon/University/UROP/SAFT_codes/Clapeyron/examples/cubic_eos.ipynb:3\n", " [2] eval\n", " @ ./boot.jl:360 [inlined]\n", " [3] include_string(mapexpr::typeof(REPL.softscope), mod::Module, code::String, filename::String)\n", " @ Base ./loading.jl:1094\n", " [4] #invokelatest#2\n", " @ ./essentials.jl:708 [inlined]\n", " [5] invokelatest\n", " @ ./essentials.jl:706 [inlined]\n", " [6] (::VSCodeServer.var\"#160#161\"{VSCodeServer.NotebookRunCellArguments, String})()\n", " @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.6.24/scripts/packages/VSCodeServer/src/serve_notebook.jl:19\n", " [7] withpath(f::VSCodeServer.var\"#160#161\"{VSCodeServer.NotebookRunCellArguments, String}, path::String)\n", " @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.6.24/scripts/packages/VSCodeServer/src/repl.jl:184\n", " [8] notebook_runcell_request(conn::VSCodeServer.JSONRPC.JSONRPCEndpoint{Base.PipeEndpoint, Base.PipeEndpoint}, params::VSCodeServer.NotebookRunCellArguments)\n", " @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.6.24/scripts/packages/VSCodeServer/src/serve_notebook.jl:13\n", " [9] dispatch_msg(x::VSCodeServer.JSONRPC.JSONRPCEndpoint{Base.PipeEndpoint, Base.PipeEndpoint}, dispatcher::VSCodeServer.JSONRPC.MsgDispatcher, msg::Dict{String, Any})\n", " @ VSCodeServer.JSONRPC ~/.vscode/extensions/julialang.language-julia-1.6.24/scripts/packages/JSONRPC/src/typed.jl:67\n", " [10] serve_notebook(pipename::String, outputchannel_logger::Base.CoreLogging.SimpleLogger; crashreporting_pipename::String)\n", " @ VSCodeServer ~/.vscode/extensions/julialang.language-julia-1.6.24/scripts/packages/VSCodeServer/src/serve_notebook.jl:136\n", " [11] top-level scope\n", " @ ~/.vscode/extensions/julialang.language-julia-1.6.24/scripts/notebook/notebook.jl:32\n", " [12] include(mod::Module, _path::String)\n", " @ Base ./Base.jl:386\n", " [13] exec_options(opts::Base.JLOptions)\n", " @ Base ./client.jl:285\n", " [14] _start()\n", " @ Base ./client.jl:485" ] } ], "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];" ] }, { "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);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Subsequently, we can obtain the saturation curve using `saturation_pressure`:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Obtaining the saturation curve\n", "T = []\n", "p = []\n", "v_l = []\n", "v_v = []\n", "for i ∈ 1:4\n", " append!(T,[range(285,crit[i][1],length=300)])\n", " sat = saturation_pressure.(models[i],T[i])\n", " append!(p,[[sat[i][1] for i ∈ 1:300]])\n", " append!(v_l,[[sat[i][2] for i ∈ 1:300]])\n", " append!(v_v,[[sat[i][3] for i ∈ 1:300]])\n", "end" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Collecting some data from the NIST Chemistry Webbook" ] }, { "cell_type": "code", "execution_count": 5, "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];" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting:" ] }, { "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": [ "# 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())" ] }, { "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": 7, "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())" ] }, { "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." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $p-xy$ evenlope for carbon dioxide+carbon monoxide\n" ] }, { "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": 8, "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];" ] }, { "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": 9, "metadata": {}, "outputs": [], "source": [ "T = 218.15\n", "x1 = range(1e-5,0.518,length=400)\n", "x2 = range(1e-5,0.512,length=400)\n", "x3 = range(1e-5,0.655,length=400)\n", "x4 = range(1e-5,0.575,length=400)\n", "x5 = range(1e-5,0.57,length=400)\n", "x = [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 = []\n", "p = []\n", "for i ∈ 1:5\n", " bub = []\n", " v0 =[]\n", " for j ∈ 1:400\n", " if j==1\n", " append!(bub, [bubble_pressure(models[i],T,X[i][j])])\n", " v0 = [log10(bub[j][2]),log10(bub[j][3]),bub[j][4][1],bub[j][4][2]]\n", " else\n", " append!(bub, [bubble_pressure(models[i],T,X[i][j];v0=v0)])\n", " v0 = [log10(bub[j][2]),log10(bub[j][3]),bub[j][4][1],bub[j][4][2]]\n", " end\n", " end\n", " append!(y,[append!([bub[i][4][1] for i ∈ 1:400],reverse(x[i]))])\n", " append!(p,[append!([bub[i][1] for i ∈ 1:400],[bub[i][1] for i ∈ 400:-1:1])])\n", "end" ] }, { "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": 10, "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())" ] }, { "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)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## $p-xy$ diagram of methanol+cyclohexane" ] }, { "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": 11, "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];" ] }, { "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": 12, "metadata": {}, "outputs": [], "source": [ "T = 433.15\n", "x = range(1e-5,1-1e-5,length=200)\n", "X = Clapeyron.FractionVector.(x)\n", "\n", "y = []\n", "p = []\n", "for i ∈ 1:5\n", " bub = []\n", " v0 =[]\n", " for j ∈ 1:200\n", " if j==1\n", " append!(bub, [bubble_pressure(models[i],T,X[j])])\n", " v0 = [log10(bub[j][2]),log10(bub[j][3]),bub[j][4][1],bub[j][4][2]]\n", " else\n", " append!(bub, [bubble_pressure(models[i],T,X[j];v0=v0)])\n", " v0 = [log10(bub[j][2]),log10(bub[j][3]),bub[j][4][1],bub[j][4][2]]\n", " end\n", " end\n", " append!(y,[append!([bub[i][4][1] for i ∈ 1:200],reverse(x))])\n", " append!(p,[append!([bub[i][1] for i ∈ 1:200],[bub[i][1] for i ∈ 200:-1:1])])\n", "end" ] }, { "cell_type": "code", "execution_count": 13, "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())" ] }, { "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 1.8.0", "language": "julia", "name": "julia-1.8" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.8.0" } }, "nbformat": 4, "nbformat_minor": 2 }