{ "cells": [ { "cell_type": "markdown", "id": "b6955283", "metadata": {}, "source": [ "# Tutorial 2: finned-tube models\n", "\n", "A finned-tube heat battery is a block of phase-change material (PCM) crossed by parallel\n", "tubes that carry the heat transfer fluid (HTF), usually water. Thin metal fins (annular\n", "discs around each tube) carry the heat into the PCM, which conducts poorly on its own.\n", "\n", "All the tubes are the same, so the models describe one tube and the storage around it, and\n", "multiply the device totals by the number of tubes. Around a tube of radius $R_f$ and length\n", "$Z$, the storage reaches out to a radius $R_f + D$, about half the distance to the next\n", "tube, where no heat crosses by symmetry. The positions are\n", "\n", "- $z$, along the tube from the inlet,\n", "- $y$, the distance from the tube axis, from $R_f$ to $R_f + D$,\n", "- $x$, across the gap between two fins (only in the mush model).\n", "\n", "The [Finned tube](https://pytes.readthedocs.io/en/latest/models/finned_tube.html) page of the documentation describes the geometry, the equations and the options of these models in full, with a sketch of each." ] }, { "cell_type": "code", "execution_count": 1, "id": "023b8987", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:05:09.088308Z", "iopub.status.busy": "2026-11-01T10:05:09.088115Z", "iopub.status.idle": "2026-11-01T10:05:11.977107Z", "shell.execute_reply": "2026-11-01T10:05:11.975393Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of tubes: 1\n", "Tube length [m]: 10\n", "Tube radius [m]: 0.003\n", "Storage depth [m]: 0.02\n", "Fin thickness [m]: 0.0002\n", "Fin pitch [m]: 0.003\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", "parameter_values = pytes.SharpFrontModel().default_parameter_values\n", "for name in [\n", " \"Number of tubes\",\n", " \"Tube length [m]\",\n", " \"Tube radius [m]\",\n", " \"Storage depth [m]\",\n", " \"Fin thickness [m]\",\n", " \"Fin pitch [m]\",\n", "]:\n", " print(f\"{name}: {parameter_values[name]}\")" ] }, { "cell_type": "markdown", "id": "d0a1963d", "metadata": {}, "source": [ "## The equations\n", "\n", "The fluid carries its specific enthalpy $h$ along the tube and gains heat from the wall:\n", "\n", "$$\n", "A \\rho \\frac{\\partial h}{\\partial t} + \\dot m \\frac{\\partial h}{\\partial z} = q',\n", "$$\n", "\n", "where $A$ is the flow area of the tube, $\\dot m$ the mass flow rate in it and $q'$ the heat\n", "the fluid gains per unit length of tube. Inside the storage, heat is conducted by the\n", "enthalpy method: the enthalpy per unit volume $H$, which includes the latent heat, evolves as\n", "\n", "$$\n", "\\frac{\\partial H}{\\partial t} = \\nabla \\cdot \\left( k \\nabla T \\right),\n", "$$\n", "\n", "with the temperature $T(H)$ and the conductivity $k$ given by the material. At the tube wall\n", "the heat flux from the fluid into the storage is $h_c (T_f - T_s)$, with $h_c$ the heat\n", "transfer coefficient, $T_f$ the fluid temperature and $T_s$ the storage temperature at the\n", "wall. The two models of this family differ in how they treat the fins.\n", "\n", "**Sharp-front model** (`pytes.SharpFrontModel`). The PCM and the fins are homogenised into\n", "one composite material, with volume-averaged heat capacity and conductivity. Heat is\n", "conducted radially, in $y$, at each point $z$ along the tube: a two-dimensional model.\n", "\n", "**Mush model** (`pytes.MushModel`). The fins and the PCM are resolved separately. Heat flows\n", "from the fluid into the fin roots, radially along the fins (in $y$), and from each fin into\n", "the PCM on either side (in $x$), at each point along the tube: a three-dimensional model.\n", "\n", "Each model is a fixed composition of submodels, which you can inspect:" ] }, { "cell_type": "code", "execution_count": 2, "id": "30b979d9", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:05:11.980142Z", "iopub.status.busy": "2026-11-01T10:05:11.979446Z", "iopub.status.idle": "2026-11-01T10:05:13.556842Z", "shell.execute_reply": "2026-11-01T10:05:13.555257Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sharp front model\n", " fluid: AdvectedFluid\n", " storage: EnthalpyStorage\n", " coupling: WallCoupling\n", " device energy: DeviceEnergy\n", "Mush model\n", " fluid: AdvectedFluid\n", " storage: EnthalpyStorage\n", " fins: EnthalpyStorage\n", " coupling: FinRootCoupling\n", " fin-PCM coupling: FinStorageCoupling\n", " device energy: DeviceEnergy\n" ] } ], "source": [ "for model in [pytes.SharpFrontModel(), pytes.MushModel()]:\n", " print(model.name)\n", " for name, submodel in model.submodels.items():\n", " print(f\" {name}: {type(submodel).__name__}\")" ] }, { "cell_type": "markdown", "id": "c6949344", "metadata": {}, "source": [ "`model.print_submodel_info()` lists, for each submodel, the variables it needs and\n", "provides, its parameters and its assumptions. To build a model from submodels of your own choice, see [composing models](../composing_models.ipynb).\n", "\n", "## The melting front\n", "\n", "Both models start with the default discharge: the battery uniform at 70 °C, with water at\n", "10 °C flowing in. The liquid fraction in the storage shows the PCM solidifying, first near\n", "the tube and the inlet, then outwards and along the tube." ] }, { "cell_type": "code", "execution_count": 3, "id": "5ed6b354", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:05:13.560001Z", "iopub.status.busy": "2026-11-01T10:05:13.559684Z", "iopub.status.idle": "2026-11-01T10:05:15.223790Z", "shell.execute_reply": "2026-11-01T10:05:15.221993Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sharp_front = pytes.SharpFrontModel()\n", "t_eval = np.linspace(0, 3600, 121)\n", "solution = pybamm.Simulation(sharp_front).solve([0, 3600], t_interp=t_eval)\n", "\n", "liquid_fraction = solution[\"Liquid fraction\"]\n", "y = liquid_fraction.mesh.nodes\n", "z = solution[\"Heat transfer fluid temperature [K]\"].mesh.nodes\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(12, 3), sharey=True, layout=\"constrained\")\n", "for ax, minutes in zip(axes, [10, 25, 40], strict=True):\n", " field = ax.pcolormesh(\n", " z,\n", " 1e3 * y,\n", " liquid_fraction(t=60 * minutes, y=y, z=z),\n", " vmin=0,\n", " vmax=1,\n", " shading=\"gouraud\",\n", " )\n", " ax.set_title(f\"{minutes} min\")\n", " ax.set_xlabel(\"Distance along the tube [m]\")\n", "axes[0].set_ylabel(\"Distance from the tube axis [mm]\")\n", "fig.colorbar(field, ax=axes, label=\"Liquid fraction\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "8976713f", "metadata": {}, "source": [ "## Resolved or averaged along the tube\n", "\n", "By default, the storage is resolved at every point along the tube, so a model captures how\n", "the fluid cools as it passes the warm PCM, and how the solidification front moves along the\n", "tube. With the option `\"storage along flow path\": \"averaged\"`, one storage cross-section\n", "stands for the average along the tube instead, and exchanges heat with the fluid averaged\n", "along it. That removes one dimension: the sharp-front model becomes one-dimensional, and the\n", "mush model two-dimensional.\n", "\n", "Below, each model runs in both forms. The resolved mush model uses a coarser mesh than its\n", "default, so that it solves in a few seconds; its default mesh gives the same outlet\n", "temperature to within 0.2 K." ] }, { "cell_type": "code", "execution_count": 4, "id": "64f5be96", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:05:15.227175Z", "iopub.status.busy": "2026-11-01T10:05:15.226797Z", "iopub.status.idle": "2026-11-01T10:05:28.955277Z", "shell.execute_reply": "2026-11-01T10:05:28.953474Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "sharp front, resolved 1.20 s\n", "sharp front, averaged 0.15 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mush, resolved 9.06 s\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "mush, averaged 1.34 s\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "averaged = {\"storage along flow path\": \"averaged\"}\n", "mush = pytes.MushModel()\n", "runs = {\n", " \"sharp front, resolved\": (sharp_front, None),\n", " \"sharp front, averaged\": (pytes.SharpFrontModel(options=averaged), None),\n", " \"mush, resolved\": (mush, {mush.x: 10, mush.y: 10, mush.z: 10}),\n", " \"mush, averaged\": (pytes.MushModel(options=averaged), None),\n", "}\n", "solutions = {}\n", "for label, (model, var_pts) in runs.items():\n", " start = time.perf_counter()\n", " simulation = pybamm.Simulation(model, var_pts=var_pts)\n", " solutions[label] = simulation.solve([0, 3600], t_interp=t_eval)\n", " elapsed = time.perf_counter() - start\n", " print(f\"{label:22s} {elapsed:6.2f} s\")\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "for label, sol in solutions.items():\n", " style = \"-\" if \"resolved\" in label else \"--\"\n", " ax.plot(\n", " sol[\"Time [min]\"].entries,\n", " sol[\"Outlet temperature [degC]\"].entries,\n", " style,\n", " label=label,\n", " )\n", "ax.set_xlabel(\"Time [min]\")\n", "ax.set_ylabel(\"Outlet temperature [°C]\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2a1c6d7e", "metadata": {}, "source": [ "The two models agree closely, resolved or averaged: with these thin, closely spaced fins,\n", "homogenising them barely changes the result. The mush model is the one to use when the fins\n", "are thicker or further apart, or when the temperature between the fins matters.\n", "\n", "The averaged forms are many times faster, and they store and deliver the same energy, but\n", "they change the shape of the outlet temperature. In an averaged model the whole storage sees\n", "the fluid averaged along the tube, so it gives up its heat evenly along the tube instead of\n", "from the inlet onwards. Early on, it keeps more of the fluid warm and the outlet stays\n", "hotter; later, the whole storage is spent at once and the outlet falls faster. The averaged\n", "models suit quick estimates of the energy and the duration of a discharge, and studies with\n", "many runs; the resolved models are needed for the outlet temperature over time.\n", "\n", "Every variant has the same outputs, conserves energy exactly, and runs the same experiments\n", "(Tutorial 6). The next tutorial does the same for the packed-bed family." ] }, { "cell_type": "markdown", "id": "267ceed3", "metadata": {}, "source": [ "Next: [Tutorial 3: packed-bed models](tutorial_3_packed_bed_models.ipynb)." ] } ], "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 }