{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Scroll Discharge Geometry" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-06-11T00:11:15.366559Z", "iopub.status.busy": "2026-06-11T00:11:15.366289Z", "iopub.status.idle": "2026-06-11T00:11:16.841414Z", "shell.execute_reply": "2026-06-11T00:11:16.840735Z" } }, "outputs": [], "source": [ "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "from PDSim.scroll.scroll_geo import geoVals\n", "from PDSim.scroll.scroll_geo import set_scroll_geo\n", "from PDSim.scroll.symm_scroll_geo import setDiscGeo\n", "from PDSim.scroll.plots import plotScrollSet" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## An arc-line-arc solution" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-06-11T00:11:16.843312Z", "iopub.status.busy": "2026-06-11T00:11:16.843049Z", "iopub.status.idle": "2026-06-11T00:11:16.948208Z", "shell.execute_reply": "2026-06-11T00:11:16.947694Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = geoVals()\n", "set_scroll_geo(100e-6, 2.5, 0.003, 0.005, geo=geo)\n", "setDiscGeo(geo, Type='ArcLineArc', r2=0.0008)\n", "plotScrollSet(2.3, geo=geo)\n", "plt.xlim(-0.01, 0.01)\n", "plt.ylim(-0.01, 0.01)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A two-arc solution" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-06-11T00:11:16.978771Z", "iopub.status.busy": "2026-06-11T00:11:16.978563Z", "iopub.status.idle": "2026-06-11T00:11:17.029272Z", "shell.execute_reply": "2026-06-11T00:11:17.028532Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = geoVals()\n", "set_scroll_geo(100e-6, 2.5, 0.003, 0.005, geo=geo)\n", "setDiscGeo(geo, Type='2Arc', r2=0.000)\n", "plotScrollSet(2.3, geo=geo)\n", "plt.xlim(-0.01, 0.01)\n", "plt.ylim(-0.01, 0.01)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Add a discharge port (simple)" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-06-11T00:11:17.030880Z", "iopub.status.busy": "2026-06-11T00:11:17.030715Z", "iopub.status.idle": "2026-06-11T00:11:17.081481Z", "shell.execute_reply": "2026-06-11T00:11:17.080616Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "geo = geoVals()\n", "set_scroll_geo(100e-6, 2.5, 0.003, 0.005, geo=geo)\n", "setDiscGeo(geo, Type='2Arc', r2=0.000)\n", "plotScrollSet(2.3, geo=geo)\n", "plt.xlim(-0.01, 0.01)\n", "plt.ylim(-0.01, 0.01)\n", "\n", "# Add a circular discharge port, just smaller than the arc #1\n", "t = np.linspace(0, 2*np.pi, 1000)\n", "r = 0.9*geo.ra_arc1\n", "x = geo.xa_arc1 + r*np.cos(t)\n", "y = geo.ya_arc1 + r*np.sin(t)\n", "plt.plot(x, y, dashes=[2,2])\n", "\n", "plt.show()" ] } ], "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 2 }