{ "cells": [ { "cell_type": "markdown", "id": "d29be20b-79b2-48a0-a333-c1af140b3287", "metadata": {}, "source": [ "# Surface tension calculations using DFT for Deuterium-Hydrogen mixtures\n", "Classical density functional theory for interfacial properties of hydrogen, helium, deuterium, neon and their mixtures ([doi:10.1063/5.0137226](https://doi.org/10.1063/5.0137226))" ] }, { "cell_type": "code", "execution_count": 1, "id": "b1e9c899-f524-4913-bed5-cf01cfb7ad35", "metadata": {}, "outputs": [], "source": [ "from feos import *\n", "from feos.si import *\n", "from feos.dft import *\n", "from feos.saftvrqmie import *\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.optimize import least_squares\n", "import seaborn as sns\n", "import tqdm\n", "import json\n", "\n", "sns.set_context('talk')\n", "sns.set_palette('Dark2')\n", "sns.set_style('ticks')" ] }, { "cell_type": "markdown", "id": "b62a863b-5b13-4b05-aeb7-d62de853b95f", "metadata": {}, "source": [ "# Set up functional" ] }, { "cell_type": "code", "execution_count": 2, "id": "3324bf33-e087-4e87-91e9-9db68a0f13b3", "metadata": {}, "outputs": [], "source": [ "parameters = SaftVRQMieParameters.from_json([\"deuterium\", \"hydrogen\"], \n", " \"../../parameters/saftvrqmie/hammer2023.json\", \n", " binary_path=\"../../parameters/saftvrqmie/aasen2020_binary.json\")\n", "eos = HelmholtzEnergyFunctional.saftvrqmie(parameters)" ] }, { "cell_type": "markdown", "id": "1cab6ca7-d418-4012-9625-51aa687a9231", "metadata": {}, "source": [ "## Critcal temperature estimate" ] }, { "cell_type": "code", "execution_count": 3, "id": "9dd67350-beaa-44d9-bf0f-aaa08ccc88e3", "metadata": {}, "outputs": [], "source": [ "cp = State.critical_point(eos, np.array([0.5, 0.5]) * MOL, initial_temperature=35*KELVIN)" ] }, { "cell_type": "markdown", "id": "6dfe40bf-902a-441f-aa53-e398826ab2e5", "metadata": {}, "source": [ "# Load experimental data\n", "Grigorev and Rudenko.\n", "*Surface tension of liquid hydrogen isotopes and hydrogen-deuterium solutions.*\n", "Sov. phys. JETP 1965" ] }, { "cell_type": "code", "execution_count": 4, "id": "3896cf04-ccf6-470a-9a0c-299f7267b02c", "metadata": {}, "outputs": [], "source": [ "data = np.loadtxt(\"./data/hydrogen_deuterium_exp_data.dat\", skiprows=1)" ] }, { "cell_type": "markdown", "id": "1f2916a9-0b8f-4eb9-a217-5df15d96ce40", "metadata": {}, "source": [ "# Map isotherms for T=18.88 K and T=20.44 K" ] }, { "cell_type": "code", "execution_count": 5, "id": "89f40dee-3f95-416e-a09c-9b39a6f2b48e", "metadata": {}, "outputs": [], "source": [ "dia_18 = PhaseDiagram.binary_vle(eos, 18.88 * KELVIN, npoints=21)\n", "vle0 = [PhaseEquilibrium.bubble_point(eos, 18.88 * KELVIN, np.array([1e-10, 1-1e-10]))]\n", "vle1 = [PhaseEquilibrium.bubble_point(eos, 18.88 * KELVIN, np.array([1- 1e-10, 1e-10]))]\n", "sft_dia_18 = SurfaceTensionDiagram(vle0 + dia_18.states + vle1, n_grid=1024)" ] }, { "cell_type": "code", "execution_count": 6, "id": "f8a36b06-d731-46a1-adac-4873ddb04204", "metadata": {}, "outputs": [], "source": [ "dia_20 = PhaseDiagram.binary_vle(eos, 20.44 * KELVIN, npoints=21)\n", "vle0 = [PhaseEquilibrium.bubble_point(eos, 20.44 * KELVIN, np.array([1e-10, 1-1e-10]))]\n", "vle1 = [PhaseEquilibrium.bubble_point(eos, 20.44 * KELVIN, np.array([1- 1e-10, 1e-10]))]\n", "sft_dia_20 = SurfaceTensionDiagram(vle0 + dia_20.states + vle1, n_grid=1024)" ] }, { "cell_type": "code", "execution_count": 7, "id": "17631d24-f3a7-4b78-a071-197752546e60", "metadata": {}, "outputs": [], "source": [ "def surftens_mulero2012(fluid, tr):\n", " \"\"\"\n", " Calculate pure fluid surface tension using Mulero et al. 2012 correlation (doi:10.1063/1.4768782)\n", " Args:\n", " fluid (str): Component name\n", " tr (np.ndarray): Reduced temperature\n", " Returns:\n", " sigma (np.ndarray): Surface tension (mN/m)\n", " \"\"\"\n", " ff = open(\"mulero_2012_parameters.json\", \"r\")\n", " complist = json.load(ff)\n", " ff.close()\n", " sigma = np.zeros_like(tr)\n", " for i in range(len(complist[fluid][\"sigma\"])):\n", " sigma[:] += complist[fluid][\"sigma\"][i] * \\\n", " (1-tr[:])**complist[fluid][\"n\"][i]\n", " return sigma * NEWTON / METER / (MILLI * NEWTON/ METER)\n", "s_h2_20 = surftens_mulero2012(\"hydrogen\", np.array([20.44/33.145]))\n", "s_d2_20 = surftens_mulero2012(\"deuterium\", np.array([20.44/38.34]))\n", "s_h2_18 = surftens_mulero2012(\"hydrogen\", np.array([18.88/33.145]))\n", "s_d2_18 = surftens_mulero2012(\"deuterium\", np.array([18.88/38.34]))" ] }, { "cell_type": "code", "execution_count": 8, "id": "fd157113-4a5f-4003-bd8a-9c6d0134d0e0", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 6))\n", "colors = [\"k\",\"g\",\"r\",\"b\",\"grey\",\"orange\",\"cyan\"]\n", "data_filter = np.isclose(data[:, 1], 20.44, atol=0.2)\n", "plt.plot(sft_dia_20.liquid.molefracs[:,0]*100, sft_dia_20.surface_tension / (MILLI* NEWTON / METER), label='$T$=20.44 K', color=\"b\")\n", "plt.plot(data[data_filter, 0], data[data_filter, 2], linestyle=\"None\", marker=\"o\", color=\"b\")\n", "plt.plot(np.array([0.0]), s_h2_20, linestyle=\"None\", marker=\"*\", color=\"b\")\n", "plt.plot(np.array([100.0]), s_d2_20, linestyle=\"None\", marker=\"*\", color=\"b\")\n", "\n", "data_filter = np.isclose(data[:, 1], 18.88, atol=0.2)\n", "plt.plot(sft_dia_18.liquid.molefracs[:,0]*100, sft_dia_18.surface_tension / (MILLI* NEWTON / METER), label='$T$=18.88 K', color=\"k\")\n", "plt.plot(data[data_filter, 0], data[data_filter, 2], linestyle=\"None\", marker=\"o\", color=\"k\")\n", "plt.plot(np.array([0.0]), s_h2_18, linestyle=\"None\", marker=\"*\", color=\"k\")\n", "plt.plot(np.array([100.0]), s_d2_18, linestyle=\"None\", marker=\"*\", color=\"k\")\n", "\n", "plt.xlabel(r'$x_{\\rm{D}_2}$ (%)')\n", "plt.ylabel(r'$\\gamma$ (mN/m)')\n", "leg = plt.legend(loc='best', frameon=False)" ] }, { "cell_type": "markdown", "id": "50ae5159-6b75-44f1-830c-2d3061b52ef8", "metadata": {}, "source": [ "# DFT for all experimental data" ] }, { "cell_type": "code", "execution_count": 9, "id": "4262b481-6a26-498a-8d36-476440fdab69", "metadata": {}, "outputs": [], "source": [ "states = []\n", "for i in range(np.shape(data)[0]):\n", " T = data[i,1]\n", " c_D2 = data[i,0]\n", " surftens_exp = data[i,2]\n", " x = np.array([c_D2, 100.0-c_D2])/100.0\n", " vle = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x)\n", " cp = State.critical_point(eos, x * MOL, initial_temperature=35.0*KELVIN) #, verbosity=Verbosity.Iter)\n", " states.append([vle, cp, surftens_exp, T])" ] }, { "cell_type": "code", "execution_count": 10, "id": "c22daf4d-994e-4da5-a37c-be7424f6731f", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 68/68 [01:51<00:00, 1.64s/it]\n" ] } ], "source": [ "sft = []\n", "for vle, cp, s_exp, T in tqdm.tqdm(states):\n", " try:\n", " sft.append({ \n", " \"dft\": PlanarInterface.from_tanh(vle, 1024, 200 * ANGSTROM, cp.temperature).solve().surface_tension / (MILLI * NEWTON / METER),\n", " \"exp\": s_exp,\n", " \"temp\": T\n", " })\n", " except Exception as e:\n", " print(e)\n", " print(vle)" ] }, { "cell_type": "markdown", "id": "3bbd7e8a-691c-478c-b7ef-b296a6c6f879", "metadata": {}, "source": [ "# Plot error map" ] }, { "cell_type": "code", "execution_count": 11, "id": "b189bb10-50bf-401b-bd39-c96dcf796efd", "metadata": {}, "outputs": [], "source": [ "df = pd.DataFrame(sft)" ] }, { "cell_type": "code", "execution_count": 12, "id": "8bf21035-95f0-4265-a700-9221c5015d8b", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 6))\n", "smax = 4\n", "err_fan = 0.1\n", "df = pd.DataFrame(sft)\n", "plt.scatter(df.exp, df.dft, c=df.temp, cmap='Blues', marker=\"o\")\n", "plt.plot([0, smax], [0, smax], color=\"black\", linestyle=\"dashed\", alpha=1.0, lw=1.5)\n", "plt.plot([0, smax*(1+err_fan/2)], [0, smax*(1-err_fan/2)], color=\"black\", linestyle=\"dotted\", alpha=0.5, lw=1.5)\n", "plt.plot([0, smax*(1-err_fan/2)], [0, smax*(1+err_fan/2)], color=\"black\", linestyle=\"dotted\", alpha=0.5, lw=1.5)\n", "plt.ylabel(r'$\\gamma$ (mN/m)')\n", "plt.xlabel(r'$\\gamma_{\\rm{Exp.}}$ (mN/m)')\n", "plt.xlim(1.5, smax)\n", "plt.ylim(1.5, smax)\n", "plt.colorbar()" ] }, { "cell_type": "markdown", "id": "252f6652-d546-4009-9f48-daf64f20b77f", "metadata": {}, "source": [ "# Calculate mean absolute deviation (MAD)" ] }, { "cell_type": "code", "execution_count": 13, "id": "9fc67b32-541d-4ca3-bfd2-04ba7de892c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAD=5.4 %\n" ] } ], "source": [ "mad = 100*np.sum(np.abs((df.dft-df.exp)/df.exp))/df.exp.shape[0]\n", "print(f\"MAD={mad:.1f} %\")" ] } ], "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": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }