{ "cells": [ { "cell_type": "markdown", "id": "74294156", "metadata": {}, "source": [ "# Design study: finned tubes or a packed bed?\n", "\n", "PyTES models share their outputs, parameters, experiments and energy reference across\n", "families (DESIGN D4), so different designs compare like for like. This notebook uses that\n", "to answer a practical question:\n", "\n", "> A heat battery for domestic hot water should store about 2.5 kWh between 10 °C and 70 °C\n", "> and deliver 3 kW until its outlet falls below 40 °C. Should it be a finned-tube unit or a\n", "> packed bed of PCM capsules?\n", "\n", "The point is the workflow, not a verdict: with other materials, sizes or heat transfer\n", "coefficients the answer changes." ] }, { "cell_type": "code", "execution_count": 1, "id": "dd0eeeeb", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:06:55.898265Z", "iopub.status.busy": "2026-11-01T10:06:55.898025Z", "iopub.status.idle": "2026-11-01T10:06:59.463657Z", "shell.execute_reply": "2026-11-01T10:06:59.458830Z" } }, "outputs": [], "source": [ "import pytes\n", "from pytes import plotting\n", "from pytes.experiments import Experiment, run_experiment\n", "from pytes.experiments import step as s\n", "\n", "T_cold, T_hot = 273.15 + 10, 273.15 + 70" ] }, { "cell_type": "markdown", "id": "abaf90e1", "metadata": {}, "source": [ "## Same PCM, same storable energy\n", "\n", "The finned-tube unit is the default sharp-front model, with one tube. The packed bed takes the\n", "same PCM, fluid and temperatures from it (parameters are layered by prefix, DESIGN D1; see [parameter layers](parameter_layers.ipynb)), and\n", "its cross-section is sized with `energy_between` so that it stores the same energy between\n", "10 °C and 70 °C." ] }, { "cell_type": "code", "execution_count": 2, "id": "77da4fa3", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:06:59.472435Z", "iopub.status.busy": "2026-11-01T10:06:59.471570Z", "iopub.status.idle": "2026-11-01T10:06:59.642852Z", "shell.execute_reply": "2026-11-01T10:06:59.640975Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "finned tubes: 2.45 kWh\n", "packed bed: 2.45 kWh, cross-section 0.047 m2\n" ] } ], "source": [ "finned = pytes.SharpFrontModel()\n", "finned_values = finned.default_parameter_values\n", "capacity = pytes.energy_between(finned, T_cold, T_hot, finned_values)\n", "\n", "bed = pytes.PackedBedModel()\n", "bed_values = bed.default_parameter_values\n", "shared = (\n", " \"Reference temperature [K]\",\n", " \"Initial temperature [K]\",\n", " \"Inlet temperature [K]\",\n", ")\n", "for name, value in finned_values.items():\n", " if name.startswith((\"PCM \", \"Heat transfer fluid \")) or name in shared:\n", " bed_values[name] = value\n", "bed_values[\"Bed cross-sectional area [m2]\"] = 1\n", "per_area = pytes.energy_between(bed, T_cold, T_hot, bed_values)\n", "bed_values[\"Bed cross-sectional area [m2]\"] = capacity / per_area\n", "\n", "print(f\"finned tubes: {capacity / 3.6e6:.2f} kWh\")\n", "print(\n", " f\"packed bed: {pytes.energy_between(bed, T_cold, T_hot, bed_values) / 3.6e6:.2f} kWh, \"\n", " f\"cross-section {capacity / per_area:.3f} m2\"\n", ")" ] }, { "cell_type": "markdown", "id": "19e89184", "metadata": {}, "source": [ "## The same test for both\n", "\n", "Both start full (uniform at 70 °C) and deliver 3 kW with water at 10 °C, the flow adjusted to hold the power (see [experiments](experiments.ipynb)), until the outlet falls below 40 °C." ] }, { "cell_type": "code", "execution_count": 3, "id": "6f07e94b", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:06:59.646095Z", "iopub.status.busy": "2026-11-01T10:06:59.645651Z", "iopub.status.idle": "2026-11-01T10:07:09.204952Z", "shell.execute_reply": "2026-11-01T10:07:09.203430Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "finned tubes: 3 kW for 34.5 min, delivering 1.72 kWh (70% of what it stores)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "packed bed: 3 kW for 25.5 min, delivering 1.27 kWh (52% of what it stores)\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "test = Experiment(\n", " [\n", " s.Power(\n", " 3e3,\n", " inlet_temperature=T_cold,\n", " termination=[\n", " s.outlet_temperature_below(273.15 + 40),\n", " s.mass_flow_rate_above(1.0),\n", " ],\n", " period=10,\n", " )\n", " ]\n", ")\n", "results = {}\n", "for name, model, values in [\n", " (\"finned tubes\", finned, finned_values),\n", " (\"packed bed\", bed, bed_values),\n", "]:\n", " results[name] = run_experiment(model, test, parameter_values=values)\n", " delivered = results[name][\"Discharged energy [J]\"].entries[-1]\n", " minutes = results[name][\"Time [min]\"].entries[-1]\n", " print(\n", " f\"{name}: 3 kW for {minutes:.1f} min, delivering {delivered / 3.6e6:.2f} kWh \"\n", " f\"({delivered / capacity:.0%} of what it stores)\"\n", " )\n", "\n", "fig, axes = plotting.plot_summary(list(results.values()), labels=list(results))" ] }, { "cell_type": "markdown", "id": "8d1dd00d", "metadata": {}, "source": [ "Both store the same energy, but the finned unit delivers about 70 % of it before the\n", "outlet cools, and the bed only about half: heat leaves its large paraffin capsules (55 mm\n", "across) slowly, through a low film coefficient and a poorly conducting PCM, so the outlet\n", "cools long before the capsules are spent.\n", "\n", "## What would make the bed competitive?\n", "\n", "Smaller capsules at the same porosity store the same energy but expose more surface and\n", "conduct over a shorter distance." ] }, { "cell_type": "code", "execution_count": 4, "id": "46a85ef0", "metadata": { "execution": { "iopub.execute_input": "2026-11-01T10:07:09.207217Z", "iopub.status.busy": "2026-11-01T10:07:09.206927Z", "iopub.status.idle": "2026-11-01T10:07:53.421701Z", "shell.execute_reply": "2026-11-01T10:07:53.420131Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "capsules of 55 mm: 3 kW for 25.5 min, 52% delivered\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "capsules of 30 mm: 3 kW for 38.7 min, 79% delivered\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "capsules of 15 mm: 3 kW for 45.0 min, 92% delivered\n" ] } ], "source": [ "for radius in (27.5e-3, 15e-3, 7.5e-3):\n", " values = bed_values.copy()\n", " values[\"Capsule radius [m]\"] = radius\n", " solution = run_experiment(bed, test, parameter_values=values)\n", " delivered = solution[\"Discharged energy [J]\"].entries[-1]\n", " print(\n", " f\"capsules of {2e3 * radius:4.0f} mm: 3 kW for \"\n", " f\"{solution['Time [min]'].entries[-1]:5.1f} min, {delivered / capacity:.0%} delivered\"\n", " )" ] }, { "cell_type": "markdown", "id": "ef793149", "metadata": {}, "source": [ "The same few lines answer the next question too: a different PCM, a higher film\n", "coefficient, more tubes. Every family exposes the same outputs and runs the same experiments,\n", "so a comparison is a loop over models and parameter values." ] } ], "metadata": { "kernelspec": { "display_name": "pytes (3.14.4)", "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 }