{ "cells": [ { "cell_type": "markdown", "id": "19e86fea", "metadata": {}, "source": [ "# Packed tubes\n", "\n", "Packed beds in narrow tubes are common in chemical reactors, and the wall changes the structure: next to the wall the spheres order in layers, and the porosity oscillates over a few diameters. This notebook packs spheres in cylinders and computes the radial porosity profile." ] }, { "cell_type": "markdown", "id": "3267358a", "metadata": { "spheropack-header": true }, "source": [ "[![Open in Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/computational-chemical-engineering/spheropack/blob/main/docs/notebooks/04_packed_tubes.ipynb) [![Download notebook](https://img.shields.io/badge/download-notebook-orange?logo=jupyter)](https://computational-chemical-engineering.github.io/spheropack/notebooks/04_packed_tubes.ipynb)" ] }, { "cell_type": "code", "execution_count": null, "id": "f48d2436", "metadata": { "spheropack-header": true }, "outputs": [], "source": [ "# Install spheropack when it is not available (for example on Google Colab).\n", "import importlib.util\n", "\n", "if importlib.util.find_spec(\"spheropack\") is None:\n", " %pip install -q spheropack" ] }, { "cell_type": "code", "execution_count": 1, "id": "b2efcf8b", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T15:54:21.713619Z", "iopub.status.busy": "2026-10-01T15:54:21.713433Z", "iopub.status.idle": "2026-10-01T15:54:22.007563Z", "shell.execute_reply": "2026-10-01T15:54:22.006905Z" } }, "outputs": [], "source": [ "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import spheropack as sp\n", "from spheropack import analysis\n", "from spheropack.plotting import plot_section" ] }, { "cell_type": "markdown", "id": "bc5c4936", "metadata": {}, "source": [ "## A tube packed to jamming\n", "\n", "`Cylinder(diameter, length)` is periodic along its axis (z by default), which models a section of a long tube without end effects; `capped=True` closes it with flat walls. Here the tube diameter is 7 sphere diameters. The number of spheres is chosen for a length of about 10 diameters at a solid fraction of 0.6; with `density=\"max\"` the length stays fixed and the spheres grow until they jam." ] }, { "cell_type": "code", "execution_count": 2, "id": "cdd94c18", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T15:54:22.010342Z", "iopub.status.busy": "2026-10-01T15:54:22.010169Z", "iopub.status.idle": "2026-10-01T15:54:26.524185Z", "shell.execute_reply": "2026-10-01T15:54:26.523179Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Packing(n=441, dim=3, density=0.597426, status='jammed', reduced_pressure=1.03e+09, n_collisions=1822422, seed=1)\n", "mean sphere diameter 0.9986, porosity 0.4026\n" ] } ], "source": [ "d, ratio, length = 1.0, 7.0, 10.0\n", "D = ratio * d\n", "tube = sp.Cylinder(diameter=D, length=length)\n", "n = round(0.6 * tube.volume / (math.pi / 6 * d**3))\n", "p = sp.pack(n=n, density=\"max\", container=tube, seed=1)\n", "print(p)\n", "print(f\"mean sphere diameter {p.diameters.mean():.4f}, porosity {1 - p.density:.4f}\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "733c3b2b", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T15:54:26.526863Z", "iopub.status.busy": "2026-10-01T15:54:26.526668Z", "iopub.status.idle": "2026-10-01T15:54:26.752024Z", "shell.execute_reply": "2026-10-01T15:54:26.751102Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(1, 2, figsize=(11, 4.5), gridspec_kw={\"width_ratios\": [1, 1.5]})\n", "plot_section(p, axis=2, ax=axes[0])\n", "axes[0].set_title(\"cross-section z = L/2\")\n", "plot_section(p, axis=0, ax=axes[1])\n", "axes[1].set_title(\"section through the axis (x = D/2)\");" ] }, { "cell_type": "markdown", "id": "51b3c844", "metadata": {}, "source": [ "## Radial porosity profile\n", "\n", "`analysis.radial_profile` computes the solid fraction on cylinder surfaces at distance $r$ from the axis, exactly from the sphere geometry. The porosity $\\varepsilon = 1 - \\phi$ is 1 at the wall, where spheres touch it only in points, and oscillates with a period of somewhat less than a diameter; the oscillations decay towards the centre. Wall effects are stronger in narrower tubes." ] }, { "cell_type": "code", "execution_count": 4, "id": "2b7d1555", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T15:54:26.755515Z", "iopub.status.busy": "2026-10-01T15:54:26.755375Z", "iopub.status.idle": "2026-10-01T15:54:45.860307Z", "shell.execute_reply": "2026-10-01T15:54:45.859119Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(9, 4))\n", "for ratio in (4.0, 7.0, 10.0):\n", " tube = sp.Cylinder(diameter=ratio * d, length=length)\n", " n = round(0.6 * tube.volume / (math.pi / 6 * d**3))\n", " q = sp.pack(n=n, density=\"max\", container=tube, seed=2)\n", " r, phi = analysis.radial_profile(q, bins=400)\n", " dm = q.diameters.mean()\n", " ax.plot((tube.ball.radius - r) / dm, 1 - phi, lw=1, label=f\"D/d = {ratio:g}: mean porosity {1 - q.density:.3f}\")\n", "ax.set_xlim(0, 4)\n", "ax.set_xlabel(\"distance from the wall / d\"); ax.set_ylabel(\"porosity\"); ax.legend();" ] }, { "cell_type": "markdown", "id": "0e537304", "metadata": {}, "source": [ "The first minimum of the porosity lies half a diameter from the wall, where the centres of the wall layer sit. The mean porosity rises as the tube gets narrower, because the wall layer takes a larger share of the cross-section. Near the axis the cylinder surfaces become small, so the profile of a single packing is noisy there (the rise of the curves at the right end).\n", "\n", "## Statistics over several packings\n", "\n", "A single packing of a short tube is noisy. Averaging profiles of independent packings (different seeds) gives smooth curves; packing a longer tube does the same." ] }, { "cell_type": "code", "execution_count": 5, "id": "2fd1b7c1", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T15:54:45.863034Z", "iopub.status.busy": "2026-10-01T15:54:45.862886Z", "iopub.status.idle": "2026-10-01T15:55:43.004349Z", "shell.execute_reply": "2026-10-01T15:55:43.003324Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ratio = 7.0\n", "tube = sp.Cylinder(diameter=ratio * d, length=length)\n", "n = round(0.6 * tube.volume / (math.pi / 6 * d**3))\n", "profiles = []\n", "for seed in range(10, 20):\n", " q = sp.pack(n=n, density=\"max\", container=tube, seed=seed)\n", " r, phi = analysis.radial_profile(q, bins=300)\n", " profiles.append(1 - phi)\n", "profiles = np.array(profiles)\n", "x = (tube.ball.radius - r) / q.diameters.mean()\n", "plt.figure(figsize=(9, 4))\n", "plt.fill_between(x, profiles.mean(0) - profiles.std(0), profiles.mean(0) + profiles.std(0), alpha=0.3)\n", "plt.plot(x, profiles.mean(0), lw=1)\n", "plt.xlabel(\"distance from the wall / d\"); plt.ylabel(\"porosity\"); plt.xlim(0, 3.5)\n", "plt.title(\"D/d = 7, mean and standard deviation of 10 packings\");" ] }, { "cell_type": "markdown", "id": "a1af2b2b", "metadata": {}, "source": [ "## Target density and the legacy tool\n", "\n", "Packings at a prescribed density (below jamming) work the same way. The legacy command-line tool `generate_packed_tube` is available as `spheropack legacy-tube` with the same options and output format; from Python the equivalent is:" ] }, { "cell_type": "code", "execution_count": 6, "id": "5154f23b", "metadata": { "execution": { "iopub.execute_input": "2026-10-01T15:55:43.007379Z", "iopub.status.busy": "2026-10-01T15:55:43.007238Z", "iopub.status.idle": "2026-10-01T15:55:43.116930Z", "shell.execute_reply": "2026-10-01T15:55:43.116044Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Packing(n=725, dim=3, density=0.54, status='target', reduced_pressure=45.7, n_collisions=36286, seed=1)\n", "0.050532694821893452,0.015709305606754632,0.0040840491026851904,0.0015\n", "\n" ] } ], "source": [ "part_diam, tube_diam = 3e-3, 21e-3\n", "n = 725\n", "tube_length = n * (math.pi / 6) * part_diam**3 / 0.54 / (0.25 * math.pi * tube_diam**2)\n", "t = sp.pack(n=n, radii=part_diam / 2, density=0.54, container=sp.Cylinder(tube_diam, tube_length),\n", " growth_rate=0.16, seed=1)\n", "print(t)\n", "t.to_csv(\"tube.csv\", legacy_order=True) # z,x,y,r without header, as the legacy tool\n", "print(open(\"tube.csv\").readline())" ] } ], "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }