{ "cells": [ { "cell_type": "markdown", "id": "535e17ea-fe17-47c0-9b56-358f3f5541fa", "metadata": {}, "source": [ "# Surface tension calculations using DFT for Helium-Deuterium 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", "import seaborn as sns\n", "import tqdm\n", "import json\n", "from scipy.optimize import fsolve\n", "\n", "sns.set_context('talk')\n", "sns.set_palette('Dark2')\n", "sns.set_style('ticks')" ] }, { "cell_type": "markdown", "id": "4026bf8d-a6b7-42a8-8040-695b73361041", "metadata": {}, "source": [ "# Set up FEOS functional" ] }, { "cell_type": "code", "execution_count": 2, "id": "3324bf33-e087-4e87-91e9-9db68a0f13b3", "metadata": {}, "outputs": [], "source": [ "parameters = SaftVRQMieParameters.from_json([\"helium\", \"deuterium\"], \n", " \"../../parameters/saftvrqmie/hammer2023.json\", \n", " binary_path=\"../../parameters/saftvrqmie/aasen2020_binary.json\")\n", "eos = HelmholtzEnergyFunctional.saftvrqmie(parameters)" ] }, { "cell_type": "markdown", "id": "26caf1d0-ca66-4753-82db-a4557386efa9", "metadata": {}, "source": [ "## Critcal temperature estimate" ] }, { "cell_type": "code", "execution_count": 3, "id": "9dd67350-beaa-44d9-bf0f-aaa08ccc88e3", "metadata": {}, "outputs": [], "source": [ "tc_deuterium = 38.34\n", "cp = State.critical_point(eos, np.array([0.5, 0.5]) * MOL, initial_temperature=35*KELVIN)" ] }, { "cell_type": "markdown", "id": "2833757d-c7b7-4f1c-8173-a4409698132c", "metadata": {}, "source": [ "# Utility functions" ] }, { "cell_type": "code", "execution_count": 4, "id": "f68a0bd7-5caa-418b-8dd7-6e62a84259f7", "metadata": {}, "outputs": [], "source": [ "def density_error(x_he, T, eos, rho_he_spec):\n", " \"\"\"Evaluate relative error in partial density for helium\"\"\"\n", " x = np.array([x_he[0]/1000, 1-x_he[0]/1000])\n", " vle_guess = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x)\n", " rho_he = vle_guess.vapor.partial_density[0] / MOL * METER**3\n", " error = (rho_he_spec - rho_he)/rho_he_spec\n", " return error\n", "\n", "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)" ] }, { "cell_type": "markdown", "id": "662d51a3-25c9-4f66-95df-e42d000475a4", "metadata": {}, "source": [ "# Load experimental data and set some constants\n", "Paine and Seidel.\n", "*The adsorption of helium on liquid hydrogen.*\n", "Phys. B: Condens. Matter, 1994." ] }, { "cell_type": "code", "execution_count": 5, "id": "59adc4e1-4b45-4866-9eae-45e9584024cb", "metadata": {}, "outputs": [], "source": [ "data = np.loadtxt(\"./data/deuterium_helium_exp_data.dat\", skiprows=1)\n", "NA = 6.02214857E+23\n", "Temperatures = np.unique(data[:, 0])" ] }, { "cell_type": "markdown", "id": "28113b38-663f-4c56-95d8-25bb78cde0e1", "metadata": {}, "source": [ "# Polynomial $x_\\rm{He}(\\rho_\\rm{He}) \\times 1000$ along Pxy curve" ] }, { "cell_type": "code", "execution_count": 6, "id": "26bbc37f-cb82-44ba-b9de-0fe4133cdd3b", "metadata": {}, "outputs": [], "source": [ "polynomialfit = {}\n", "polynomialfit[\"20\"] = np.poly1d([2.77511195e-13, -1.62794362e-08, 1.04061440e-03, 3.55749085e-03])\n", "polynomialfit[\"21\"] = np.poly1d([3.11050375e-13, -1.78452507e-08, 1.25231735e-03, 3.42794882e-03])\n", "polynomialfit[\"22\"] = np.poly1d([3.41745522e-13, -1.91263957e-08, 1.49186801e-03, 3.41256793e-03])\n", "polynomialfit[\"23\"] = np.poly1d([3.80433522e-13, -2.02545613e-08, 1.76336232e-03, 3.12420795e-03])\n", "polynomialfit[\"24\"] = np.poly1d([4.18253168e-13, -2.08976527e-08, 2.06946383e-03, 2.97772280e-03])\n", "polynomialfit[\"26\"] = np.poly1d([5.19526320e-13, -2.04475681e-08, 2.80633414e-03, 2.62607082e-03])" ] }, { "cell_type": "markdown", "id": "30763142-e9f3-44a4-96b3-47ed6b7a8321", "metadata": {}, "source": [ "# Find helium vapor composition, $x_{\\rm{max}}$, given $\\rho_{\\rm{He}} (x_{\\rm{max}})$ = $\\rho_{\\rm{max}}$" ] }, { "cell_type": "code", "execution_count": 7, "id": "3896cf04-ccf6-470a-9a0c-299f7267b02c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 6/6 [00:06<00:00, 1.14s/it]\n" ] } ], "source": [ "rho_max = 12000.0\n", "x_max = []\n", "x_he_fun_of_rho = {}\n", "for T in tqdm.tqdm(Temperatures):\n", " x0 = polynomialfit[str(int(T))](rho_max)\n", " # Solve for rho_he(x) = rho_max\n", " x = fsolve(density_error, x0, args=(T, eos, rho_max))\n", " x_max.append(x[0]/1000)" ] }, { "cell_type": "markdown", "id": "c2aafa05-af33-4fa9-b51d-4bdc1fce7d53", "metadata": {}, "source": [ "# Map isotherms to $x_{\\rm{He}}=x_{\\rm{max}}$" ] }, { "cell_type": "code", "execution_count": 8, "id": "76a4766a-2eeb-47ca-9862-53a3b41f4df1", "metadata": { "tags": [] }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 6/6 [00:12<00:00, 2.03s/it]\n" ] } ], "source": [ "states = []\n", "for i, T in enumerate(tqdm.tqdm(Temperatures)):\n", " xa = np.linspace(1.0e-8, x_max[i], 20)\n", " T_states = []\n", " for x in xa:\n", " x_sol = np.array([x, 1-x])\n", " state = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x_sol)\n", " T_states.append(state)\n", " states.append(T_states)" ] }, { "cell_type": "markdown", "id": "f20b3e86-56f9-4579-9458-77ed1f58b779", "metadata": {}, "source": [ "# Calculate and plot surface tension along the isotherms" ] }, { "cell_type": "code", "execution_count": 9, "id": "a5f84762-277a-4bd7-b801-3ffceefb000d", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 6/6 [03:21<00:00, 33.63s/it]\n" ] } ], "source": [ "gamma = []\n", "for T_states in tqdm.tqdm(states):\n", " gamma_T = []\n", " for state in T_states:\n", " gamma_T.append(PlanarInterface.from_tanh(state, 1024, 200 * ANGSTROM, cp.temperature).solve().surface_tension / (MILLI * NEWTON / METER))\n", " gamma.append(gamma_T)" ] }, { "cell_type": "code", "execution_count": 10, "id": "6b680af8-4e72-4fc4-a3da-843a5700c895", "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", "for i, T in enumerate(Temperatures):\n", " rho = []\n", " for state in states[i]:\n", " rho.append(state.vapor.partial_density[0] / MOL * METER**3)\n", " plt.plot(np.array(rho)/1000, gamma[i], label=f\"{T:.1f} K\", color=colors[i])\n", " rho_exp = data[np.isclose(data[:, 0], T, atol=0.001),1] * 1e27 / NA\n", " sur_tens_exp = data[np.isclose(data[:, 0], T, atol=0.001),2]\n", " plt.plot(rho_exp/1000, sur_tens_exp, linestyle=\"None\", marker=\"o\", color=colors[i])\n", " tr = np.array([T/tc_deuterium])\n", " s_nist = surftens_mulero2012(\"deuterium\", tr)\n", " plt.plot([0.0], s_nist, \"*\", color=colors[i]) \n", "\n", "plt.xlabel(r'$\\rho_{\\rm{He}}$ (kmol/m$^3$)')\n", "plt.ylabel(r'$\\gamma$ (mN/m)')\n", "leg = plt.legend(loc='best', ncol=2, frameon=False)" ] }, { "cell_type": "markdown", "id": "6c47afd2-2565-427e-9758-082a3bb31cef", "metadata": {}, "source": [ "# Calculate composition given partial helium density of each experimental point" ] }, { "cell_type": "code", "execution_count": 11, "id": "42b237ea-1fa6-40b7-bdab-93acfc714841", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 6/6 [01:09<00:00, 11.54s/it]\n" ] } ], "source": [ "exp_states = []\n", "for T in tqdm.tqdm(Temperatures):\n", " # Loop all experiments on current temperature\n", " data_T = data[np.isclose(data[:,0],T),1:3]\n", " for j in range(np.shape(data_T)[0]):\n", " rho_he_j = data_T[j,0] * 1e27 / NA\n", " surftens_exp = data_T[j,1]\n", " # Interpolate to get initial guess, x0: rho_he(x0) ~= rho_he_j\n", " x0 = polynomialfit[str(int(T))](rho_he_j)\n", " # Solve for rho_he(x) = rho_he_j\n", " x = fsolve(density_error, x0, args=(T, eos, rho_he_j))\n", " exp_states.append([x[0]/1000, surftens_exp, T])" ] }, { "cell_type": "markdown", "id": "3b72f673-0ee9-43dd-97bc-d65e935b5918", "metadata": {}, "source": [ "# Calculate state and surface tension for the experimental points" ] }, { "cell_type": "code", "execution_count": 12, "id": "230ef919-038a-4b94-9bdb-1e3f8376ec83", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 69/69 [00:08<00:00, 8.54it/s]\n" ] } ], "source": [ "states = []\n", "for x, s_exp, T in tqdm.tqdm(exp_states):\n", " x_sol = np.array([x, 1-x])\n", " state = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x_sol)\n", " states.append([state, s_exp, T])" ] }, { "cell_type": "code", "execution_count": 13, "id": "baa71ae1-ebdb-45a3-adaf-ae0a1b204314", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 69/69 [01:47<00:00, 1.55s/it]\n" ] } ], "source": [ "sft = []\n", "for state, s_exp, T in tqdm.tqdm(states):\n", " sft.append({\n", " \"dft\": PlanarInterface.from_tanh(state, 1024, 200 * ANGSTROM, cp.temperature).solve().surface_tension / (MILLI * NEWTON / METER), \n", " \"exp\": s_exp,\n", " \"T\": T}\n", " )" ] }, { "cell_type": "markdown", "id": "52550387-b342-403b-a984-770ec0caadb6", "metadata": {}, "source": [ "# Calculate mean absolute deviation (MAD)" ] }, { "cell_type": "code", "execution_count": 14, "id": "afd35d6c-1ef6-4599-83a2-aaaf2175b585", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAD=1.3 %\n" ] } ], "source": [ "df = pd.DataFrame(sft)\n", "mad = 100*np.sum(np.abs((df.dft-df.exp)/df.exp))/df.exp.shape[0]\n", "print(f\"MAD={mad:.1f} %\")" ] }, { "cell_type": "markdown", "id": "167de8bc-1090-4455-8221-5cfced6cc0f0", "metadata": {}, "source": [ "# Plot error map" ] }, { "cell_type": "code", "execution_count": 15, "id": "bfb4d45e-f9c6-44f6-98fc-a56a95503028", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 6))\n", "smax = 4\n", "err_fan = 0.1\n", "groups = df.groupby('T')\n", "for i, res in enumerate(groups):\n", " name=res[0]\n", " group=res[1]\n", " plt.plot(group.exp, group.dft, \"o\", color=colors[i], label=str(name))\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, smax)\n", "plt.ylim(1, smax)\n", "leg = plt.legend(loc='best', ncol=2, frameon=False)" ] } ], "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 }