{ "cells": [ { "cell_type": "markdown", "id": "b9483a04", "metadata": {}, "source": [ "# Tutorial 3: packed-bed models\n", "\n", "A packed-bed heat battery is a tank filled with capsules of phase-change material (PCM),\n", "usually spheres, with the heat transfer fluid (HTF) flowing through the voids between\n", "them. The large capsule surface makes heat transfer easy, and the capsules are simple to\n", "make and replace.\n", "\n", "The bed has length $Z$ along the flow, cross-sectional area $A$ and porosity\n", "$\\varepsilon$, the volume fraction of the voids. The capsules are spheres of radius $R$.\n", "The model assumes that all capsules at the same height are the same, so one capsule stands\n", "for all of those at each height. The positions are\n", "\n", "- $z$, along the bed from the inlet,\n", "- $r$, the distance from the centre of a capsule, from 0 to $R$.\n", "\n", "The default parameter values are the experiments of Nallusamy et al. (2007): a 47 l tank\n", "of paraffin capsules, initially at 32 °C, charged with water at 70 °C.\n", "\n", "The [Packed bed](https://pytes.readthedocs.io/en/latest/models/packed_bed.html) page of the documentation describes the geometry, the equations and the options of this model in full, with sketches." ] }, { "cell_type": "code", "execution_count": 1, "id": "8d25c64a", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:53:55.530618Z", "iopub.status.busy": "2026-10-30T17:53:55.530036Z", "iopub.status.idle": "2026-10-30T17:53:57.103467Z", "shell.execute_reply": "2026-10-30T17:53:57.101912Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Bed length [m]: 0.46\n", "Bed cross-sectional area [m2]: 0.1018\n", "Bed porosity: 0.5\n", "Capsule radius [m]: 0.0275\n" ] } ], "source": [ "import time\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pybamm\n", "\n", "import pytes\n", "\n", "model = pytes.PackedBedModel()\n", "parameter_values = model.default_parameter_values\n", "for name in [\n", " \"Bed length [m]\",\n", " \"Bed cross-sectional area [m2]\",\n", " \"Bed porosity\",\n", " \"Capsule radius [m]\",\n", "]:\n", " print(f\"{name}: {parameter_values[name]:.4g}\")" ] }, { "cell_type": "markdown", "id": "229a20c7", "metadata": {}, "source": [ "## The equations\n", "\n", "The fluid flows through the voids, a flow area $\\varepsilon A$, carrying its specific\n", "enthalpy $h$:\n", "\n", "$$\n", "\\varepsilon A \\rho \\frac{\\partial h}{\\partial t} + \\dot m \\frac{\\partial h}{\\partial z} = q',\n", "$$\n", "\n", "where $q'$ is the heat the fluid gains per unit length of bed. Inside each capsule, heat is\n", "conducted radially by the enthalpy method, in spherical coordinates:\n", "\n", "$$\n", "\\frac{\\partial H}{\\partial t} = \\frac{1}{r^2} \\frac{\\partial}{\\partial r}\n", "\\left( r^2 k \\frac{\\partial T}{\\partial r} \\right),\n", "$$\n", "\n", "with no flux at the centre and a flux $h_c (T_f - T_s)$ from the fluid into the capsule at\n", "its surface. The bed holds $3 (1 - \\varepsilon) / R$ of capsule surface per unit volume, so\n", "the fluid gains $q' = 3 (1 - \\varepsilon) A h_c (T_s - T_f) / R$ per unit length.\n", "\n", "The model is built from the same submodels as the finned-tube models, with a different\n", "geometry:" ] }, { "cell_type": "code", "execution_count": 2, "id": "4a7d34d8", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:53:57.106043Z", "iopub.status.busy": "2026-10-30T17:53:57.105398Z", "iopub.status.idle": "2026-10-30T17:53:57.110371Z", "shell.execute_reply": "2026-10-30T17:53:57.109093Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "fluid: AdvectedFluid\n", "storage: EnthalpyStorage\n", "coupling: WallCoupling\n", "device energy: DeviceEnergy\n", "per-area totals: PerAreaTotals\n" ] } ], "source": [ "for name, submodel in model.submodels.items():\n", " print(f\"{name}: {type(submodel).__name__}\")" ] }, { "cell_type": "markdown", "id": "7580355f", "metadata": {}, "source": [ "## Against the measurements\n", "\n", "The model is solved for the 160 minutes of the experiment, and the fluid temperature at a\n", "quarter, half, three quarters and the full height of the bed (lines) is compared with the\n", "measurements (points)." ] }, { "cell_type": "code", "execution_count": 3, "id": "228973a7", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:53:57.113038Z", "iopub.status.busy": "2026-10-30T17:53:57.112795Z", "iopub.status.idle": "2026-10-30T17:53:59.550812Z", "shell.execute_reply": "2026-10-30T17:53:59.549536Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t_end = 160 * 60\n", "t_eval = np.linspace(0, t_end, 321)\n", "solution = pybamm.Simulation(model).solve([0, t_end], t_interp=t_eval)\n", "\n", "Z = parameter_values[\"Bed length [m]\"]\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for position, fraction in [(\"0.25L\", 0.25), (\"0.5L\", 0.5), (\"0.75L\", 0.75), (\"1L\", 1)]:\n", " t_data, T_data = np.loadtxt(\n", " f\"../data/Nallusamy2007_HTF_{position}.csv\",\n", " delimiter=\",\",\n", " skiprows=1,\n", " unpack=True,\n", " )\n", " T = solution[\"Heat transfer fluid temperature [degC]\"](t=t_eval, z=fraction * Z)\n", " (line,) = ax.plot(t_eval / 60, T, label=f\"{fraction:g} L\")\n", " ax.plot(t_data, T_data, \"o\", color=line.get_color(), markersize=3)\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Fluid temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "864989f2", "metadata": {}, "source": [ "A thermal front moves up the bed: the fluid near the inlet warms first, and each height\n", "pauses near the 60 °C melting temperature while the capsules there melt.\n", "\n", "## Inside a capsule\n", "\n", "Because each capsule is resolved, the model also gives the temperature inside the\n", "capsules. Halfway up the bed, the capsule first warms as a solid, from its surface inwards.\n", "Once it reaches the 60 °C melting temperature, it holds there while a liquid shell grows\n", "slowly from the surface towards the centre: the poorly conducting paraffin limits how fast\n", "the bed charges." ] }, { "cell_type": "code", "execution_count": 4, "id": "b7e3fc72", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:53:59.552727Z", "iopub.status.busy": "2026-10-30T17:53:59.552545Z", "iopub.status.idle": "2026-10-30T17:53:59.836540Z", "shell.execute_reply": "2026-10-30T17:53:59.835081Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "R = parameter_values[\"Capsule radius [m]\"]\n", "r = np.linspace(0, R, 50)\n", "pcm_temperature = solution[\"Phase-change material temperature [degC]\"]\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for minutes in [10, 30, 50, 70, 90]:\n", " T = pcm_temperature(t=60 * minutes, r=r, z=Z / 2)\n", " ax.plot(1e3 * r, T, label=f\"{minutes} min\")\n", "ax.set_xlabel(\"Distance from the capsule centre [mm]\")\n", "ax.set_ylabel(\"PCM temperature [°C]\")\n", "ax.set_title(\"Capsule halfway up the bed\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "147845a0", "metadata": {}, "source": [ "## Resolved or averaged along the bed\n", "\n", "As for the finned tubes ([Tutorial 2](tutorial_2_finned_tube_models.ipynb)), the option `\"storage along flow path\": \"averaged\"` replaces the\n", "capsules along the bed with one capsule that stands for their average, exchanging heat with\n", "the fluid averaged along the bed." ] }, { "cell_type": "code", "execution_count": 5, "id": "cb23a79e", "metadata": { "execution": { "iopub.execute_input": "2026-10-30T17:53:59.838347Z", "iopub.status.busy": "2026-10-30T17:53:59.838153Z", "iopub.status.idle": "2026-10-30T17:54:02.565500Z", "shell.execute_reply": "2026-10-30T17:54:02.564155Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "resolved 2.31 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "averaged 0.26 s\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "variants = {\n", " \"resolved\": model,\n", " \"averaged\": pytes.PackedBedModel(options={\"storage along flow path\": \"averaged\"}),\n", "}\n", "solutions = {}\n", "for label, variant in variants.items():\n", " start = time.perf_counter()\n", " solutions[label] = pybamm.Simulation(variant).solve([0, t_end], t_interp=t_eval)\n", " print(f\"{label:9s} {time.perf_counter() - start:5.2f} s\")\n", "\n", "t_data, T_data = np.loadtxt(\n", " \"../data/Nallusamy2007_HTF_1L.csv\", delimiter=\",\", skiprows=1, unpack=True\n", ")\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for label, sol in solutions.items():\n", " ax.plot(\n", " sol[\"Time [min]\"].entries, sol[\"Outlet temperature [degC]\"].entries, label=label\n", " )\n", "ax.plot(t_data, T_data, \"ko\", markersize=3, label=\"measured\")\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Outlet temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "72650485", "metadata": {}, "source": [ "The averaged bed is much faster, and once the front has crossed the bed the two agree\n", "closely. The fluid is still resolved along the bed, and the front crosses it in about ten\n", "minutes, while the capsules take well over an hour to melt: the capsules along the bed are at\n", "similar temperatures, and one capsule stands for them well.\n", "\n", "Before the front arrives, the averaged outlet dips below the initial 32 °C. The averaged\n", "capsule takes its heat from the fluid uniformly along the bed, including near the outlet,\n", "where the fluid is still cold. This is a known artefact of the averaged formulation, and\n", "energy is still conserved exactly. Where the arrival of the front matters, or the capsules\n", "melt about as fast as the front moves, use the resolved model.\n", "\n", "The packed bed has one more option, `\"storage element\": \"lumped\"`, which gives each\n", "capsule a uniform temperature instead of resolving it: much cheaper, and accurate for small\n", "or highly conductive capsules. See the [lumped capsule](../lumped_capsule.ipynb) example." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next: [Tutorial 4: changing parameter values](tutorial_4_parameter_values.ipynb)." ], "id": "29da107f" } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.14.4" } }, "nbformat": 4, "nbformat_minor": 5 }