{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "According to my textbook, the flow around a cylinder can be solved under certain conditions (stationary, incompressible, irrotational, invariant along perpendicular axis flow). The solution, written in cylindrical coordinates $(r, \\theta)$ is:\n", "\n", "$$\n", "\\vec{V}(M) = v_r(r, \\theta) \\, \\vec{u}_r + v_\\theta(r, \\theta) \\, \\vec{u}_\\theta\n", "$$\n", "\n", "with $v_r = -U(1 - \\frac{R^2}{r^2}) \\cos\\theta$ and $v_\\theta = U(1 + \\frac{R^2}{r^2}) \\sin\\theta$. In the last two expressions, $U$ is the velocity far from the cylinder and $R$ is the diameter of the cylinder." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "In the following, I propose to visualize this solution." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%pylab inline" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Populating the interactive namespace from numpy and matplotlib\n" ] } ], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "U = 1 # m/s\n", "R = 0.1 # m\n", "\n", "x = arange(-0.25, 0.25, 0.005)\n", "y = arange(-0.25, 0.25, 0.005)\n", "X, Y = meshgrid(x, y)\n", "r = sqrt(X**2 + Y**2)\n", "theta = arctan2(Y, X)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 48 }, { "cell_type": "code", "collapsed": false, "input": [ "v_r = -U * (1 - R**2 / r**2) * cos(theta) * (r > R)\n", "v_theta = U * (1 + R**2 / r**2) * sin(theta) * (r > R)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 49 }, { "cell_type": "code", "collapsed": false, "input": [ "v_x = cos(theta) * v_r - sin(theta) * v_theta\n", "v_y = sin(theta) * v_r + cos(theta) * v_theta" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 50 }, { "cell_type": "code", "collapsed": false, "input": [ "speed = sqrt(v_x ** 2 + v_y ** 2)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 51 }, { "cell_type": "code", "collapsed": false, "input": [ "streamplot(x, y, v_x, v_y)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 52, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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5Fg8xFI77ERHd/7+eAjtAGxpkqa93/zosjOjgQZCCwSAXthI1wM2bsahxqCUR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\nHQ4knWnTcKU63jEcRrM/KoGA9pwviqL6X+iV0VFsS34+iuTIGiOap21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"text": [ "" ] } ], "prompt_number": 52 }, { "cell_type": "code", "collapsed": false, "input": [ "lw = 5 * speed / speed.max()\n", "streamplot(x, y, v_x, v_y, density=0.7, color='k', linewidth=lw)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 54, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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trcE1kll+9AVbJBIhOjoaMTExiI6OpkpYWBiVoGHv3r3Ys2cPMjMz4e3tjby8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"text": [ "" ] } ], "prompt_number": 54 }, { "cell_type": "code", "collapsed": false, "input": [ "pcolormesh(x, y, speed)\n", "axis([x.min(), x.max(), y.min(), y.max()])\n", "colorbar()\n", "title('flow velocity')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 58, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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ZbkTeRk6O5dfp0F7hs+YwDMOkCJ/1fj5rDsMwTGowfDbZ13edsZNXK12ThJNI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\nTjoSVKg6dAhUuAxLsYvbIsq3F++YnuH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"text": [ "" ] } ], "prompt_number": 58 }, { "cell_type": "code", "collapsed": false, "input": [ "pcolormesh(x, y, v_x)\n", "axis([x.min(), x.max(), y.min(), y.max()])\n", "colorbar()\n", "title(r'$v_x$')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 56, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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1QqV2af4XzPYvmLI07xhT9gsmT1WXUDj+k6RtsUpcKbXpCsX2XiaPqvT0oxqj\naptux2mS7q+sj9hN6VtkLxP8mX5vwlLZNib9QRDHMcHv6uZ//vOf8fOf/xwdHR0YPnw4vv3tb+PZ\nZ5/F7bffnve4keusBUEQBgNVZ/1O+xd4p/04uw3wv7r5O++8gyuuuAKjRvUv7HHzzTfjjTfeODM6\na6+Bbvwqb84+zalpQOHhoVK4x5jtXJrmfc6kjyi2kzkvyzZBKDDLVmfTP56VTowiBYaT9DAmX/W2\nZitq3YQphSOF88tvP8vZg3Eqm1PY/XWZK1/O/qz7LofhuaGyg09tGoapTdkb8ctln7DlOExWN584\ncSJ+8pOf4MSJExgyZAi2bNmCr371q9q6xWYtCMJZSRg266VLl2Lz5s2oq6vDK6+8gqVLlwLoX918\n9uzZAICGhgbceeedmDZtGqZMmQIAuPfee7V1F4WyFgRBCJow1PrIkSOxZcuWnPzq6mps3Lgx8/+D\nDz6IBx980FXdkeqs40h6GkjQxbOmuJkUo3PNYwcTde54gN7MYecfVmz/lNn+sSItRIv303+pKZOm\n6QpivQP+DtzuZZ6I4hufzc4ddASyJhHV5BTOjKFSpdx3tBCzCftCcN0Lk0h11oIgCIOFxAYJCDcD\niW4mvaiOwdZFpo4nUv2KI64azOEGGFWue5xrHk3bipmqaaqWbWXdRfJIepko68iy7P/1//0xfdNS\nhR0wfclUROVjo/ap+qd0GToDPZHIquxU+ruQiNMVYXJXd+nPdx81j1PWYawOoztmlCmu1gqCIASE\nhEgNGZM41wNxo7wd28kKHraijtEfe05lq2zW3KQYneseDTtN07ZyJmq6Q9R0UUHv1zi6gftGqgI9\nlTN5OmWtStvPN8lzxFtP/0ODPwVhv85XV9idqXTWgiAIRYDYrH0Q9JRS7tfai50aICpDt3qLajtn\ny+bUNk2rvEXSNu1uos46IBQTHSR9DrmPlXRqOTc1/QtmO51CfpLZrgj0pHt+Oft1in4/NPZrZ3Cm\nJCkbjU6yTzHBJ6pEqrMWBEEYLKLyo2GKdNaCIJyViBnEJ17cddy4+Tn38zCrQOVaxS1y26soy7n5\nuYgdcio92EiDLx7gWytEFHq/6DyXkWQgudQOT6GKvmibRzjTB5B95no122k6qSirwY2ZY7DiVesQ\n1z1BEIQiQMwgAaGLQQ2YD0iaRucDeHc9YIDLng03QKNy7eMmPuhiXyuU9dF0+ijZnBviXIgy9H6N\nI+mj5D7H/FgcAAAgAElEQVSP5AaadSEOuGdOpaa555eUpc+8/V2Iky8FdePTRdLTKecw4lXrkM5a\nEAShCCi2ztp3iNS2tjZMnDgREyZMwMqVK9kyixcvxoQJE9DQ0IAdO3b4PWRhSZKPl+1Av7oZKCRS\n5JNkPr3Zz4lk/+cIsp+j5CNEH3q/6H207+0Jes+55yEJ/XPEEcTze4bQi3KjT1Tw1VmnUincf//9\naGtrw65du7Bu3Trs3r3bUWbTpk344IMPsHfvXvzyl7/Efffd56vBgiAIQRDG6uYvvPACJk+ejHg8\nju3btyvLmYjcgfjqrN966y2MHz8e48aNQ2lpKebNm4eXXnrJUWbDhg2YP38+AGDGjBno6elhF5EM\nAzt8eGj4VSE+9z+LRNAZje/7GMSDEPKDRMP5R4UwOutLLrkE69evx7e+9S31cQ1ELoevzvrAgQOo\nra3N/F9TU4MDBw5oy+zfv9/PYQVBEHyTRNzo44aJEyeirq4ubxkTkcvha4CRW7mXw7Iso/3+paUT\nJeng55c2VeDSpvP8NE8QhDOA7e1H8y5g65VC+VlzAvbNN9/U7uertWPHjkVnZ2fm/87OTtTU1OQt\ns3//fowdO5at73sttezqLV6xfxVDi4tLr16vspTZ/oO/uxARfN/HIB6EkB8mP5NeLm06Dw1NIzL/\nP73sYBBNUpo4Oto/xIftHyr3a25uxqFDh3LyV6xYgRtuuEF7XFOROxBft2jatGnYu3cvOjo6UF1d\njeeffx7r1q1zlJkzZw5Wr16NefPmYdu2bRgxYgQqKyv9HFYQBME3qs66tunLqG36cub/3y/7d8f2\nzZs3+zquicjl8NVZJxIJrF69Gtdffz1SqRQWLFiA+vp6PPHEEwCARYsWYdasWdi0aRPGjx+Pc889\nF08//bSfQxYenZo2uaLcM8LFLOZiFwM4J50/jAwIUYORuO9FH3q/hpH0Odw9V8Wg1j1HHLrn8yx6\nXesNeQ3GgeZfGxORy+H71sycORMzZ8505C1atMjx/+rVq/0eRhAEIVDCsFmvX78eixcvxieffILZ\ns2ejsbERL7/8Mrq6urBw4UJs3LhRKXJ1RPZ31I3LjM4m7Yyry61ikd2eSmQvSSrVl93PXkmD7sgp\nHtWqHjTmsD19uFyxnYtjTNLnpdPnkRjX1LAkyjr60PtFVfZ53D2nedwzQ/O4Z06lxlWKPY1FyqYS\n9l/y/dB8R918h6lN2+5EHd/LEGYbhlHnTTfdhJtuuiknv7q6Ghs3bsz8z4lcHZHtrAVBEMKk2Kab\nR66zTnnw4FBddF0IVPsX3JWjPrNuXfpgudup4uHCWHJqGgDs1UJoAB+irkpH9f+tJMr6MCn6AYSo\nQ/2hqMq27y0AXllzK8monqM4k6dS2dzz6wI3JgX7+1rozlLiWQuCIBQBEs9aEAShCCi0sndLpDrr\nJOKBxg7gzBzcYCN9HXLE6I1nZ+PH0wuGJmjzuAEa1aANfVXtHfAXcL7q9jJ5w3O3V5JVQ06QRVe3\nQog640i6cgz5hy4bY99zxUBzJq0aqOYGGHVpkpciafu7kNLEsAb4TjCKKrYvZNe9oIneFRQEQRgE\nxGYdMtyvtk6Nu1MARIUzbnyO1WM4ZUJVDrcSB5BVRKrttrKmg02alWrG0fyPIUSccVRNV5M0zR81\n4C/AK2uV8i4f8Hdgmnl+OXe9/jTnTse78dlpN52hqq4wiaLaz0dxtVYQBCEgxGYdEGp3PH8rI3P2\na9VacZz92rZdAwPs19yCErr17s5VbNfBuVkRW+WPiXvXsv/nol4hdH5sh5ygClpls7YV9XDFdt2k\nGc61T+Xml5n0ks2iYza2rdqrndqL8i7GSTFhEtnOWhAEIUzEZu0D+kvsxitEZXsyVeGqX1hqv+4r\nt2UIdeEgKpurwOvKG1xlnGKiEyRU6kuUdbSYmP5L7dD03g1j8ul2NzZr+/lQ2ayJyk6m83vLs2o6\n+8zTiSz51TKg7wSTTF2FoNDHd0txtVYQBCEgxHVPEAShCBAzSAjoBgJUcURMBxDiinJ0GfrytPmD\nvhpyJhHlBeU26CbQ0MEgMgEm86qrMn2QASt7QGuZRKktGD++n/yjiajIpisU27m6hjBlNaYPIGv+\n4EwfQPa7YGL68BI1jysb9gBgGGaQF154AS0tLXj//ffx9ttv49JLL80p09nZiTvvvBMff/wxYrEY\n7r33XixevFhbd1F01oIgCEETxo+Bvbr5wJj+lNLSUjz66KOYOnUqjh07hssuuwzNzc3amNaR66y5\nXzvVYGNQF5vq43L0KcqUp7dnS/MqOzvoSDz/nBNouGhonIqm26l6siP49TJ5gNplUCgMF5M0F/dc\n5U7HxavmojNqBhAtkkdd87jBRE5N03zn9jKyPXfgMUjlHYbJIozOeuLEidoyVVVVqKqqAgBUVFSg\nvr4eXV1dxddZC4IgDAZR8LPu6OjAjh07MGPGDG3ZSHXWKcRdTXqxywZ50alYpYq+LK24qdpwxMtO\nZ6fITJnyXrLSDLnSmVnsqtjXdpqbgk7z6XaNp+OPyZqfy76Rv6zgH3q9tV6outVbVFPEuTUaGZu0\nU00TNRzPVckq1zzbc4JTyAPLcpNedMqb4mW6uhd62Zlsevyubm5z7NgxzJ07F6tWrUJFRYW2fKQ6\na0EQhMFC9WNxvP1tHG9/R7mf39XNAeDUqVO45ZZbcMcdd+DGG2802idynTV3AamC5X5tqRoP79Wm\nLOdYnBdJIk7aMpRMXU8RxZ1IB4UiP+yOAFF2UVWgJ50dmlFnyXPZkkLALLbOAQAkj5zI5CXoij/c\nW5EKTdhdO+iSM+BSNm2raKqgVXbkPkNvDzeTYkzK6tqV3R58V6XqK8qbvobypq9l/j+87Bee6let\nbm5ZFhYsWIBJkyZhyZIlxvWV6IsIgiCceSQRN/q4Yf369aitrcW2bdswe/bszKK4XV1dmD17NgDg\n9ddfx9q1a/Hqq6+isbERjY2NaGtr09YdOWUtCIIwGISh1k1WN//GN76B06dP55TREanOmg4wmiyC\nG4ZJxLmSDH11S+UcXxfBz5Emdo6+oYxJhZhJ4kn3/nY09nZfPDuIZA+inMA5mbxZ1ohMelPsP10f\nS1DzAS4CAJw/rCeTd86wrEnEdv0sS5HBZw/3GyAxpjVmDhNzhN9BQS+ueW5MHxJ1L2KdtSAIwmAh\nnbVPOIU6mNNO45qRnxSjtul+CYWyBplAwLknxsnApO50OZWjmsxwPK2oj+G8TN5nyCrrSmsaAKA7\n9i/5DyooqbS+l0l3ohuA83pX4GgmPRT9Krs8nvXFpPde9WaWD50LnCpPp4a5/VTKmyurU9a6usL+\n3vf2SSAnQRCEyJNKFlf3F6nW0tXNuVXIVfleBwo4Fe/cnl9xO1V0f110srqqXp1617XFbjed7ttH\n1DQN/Xg0rfCOEqX3CQmm/DEqAQBd1v/O5I2L3ee6fWcbHeR6pdCZSdv35ASGZvLOI8raTpeRJ6WM\nzHii4Q7s58fL89LfLnO1qpuIoqsrSHc8XV1BkUqKGUQQBCHySGftk7CnmNL6uQBROkXvzMu9fF5V\nEIduFF+lrI8TVWcr6h5ip/6UKGtbZXeTuKrvWG9l0nNjX/V+AmcIKz8/DAC4aNgHmbxaoqbLHLEA\n+qH3jo4h2OmhOM7uzyvr3LGRINC9kbpRuF5UtBtbexj9QvKUdNaCIAiR53SquLq/4mqtIAhCUIgZ\nxDuqAT2V6SIoNz9d/RSdO5Vq1RkOr25S9gAi56IHOAe3ODOI0yRyQTrvfLI9m2758FS2Yf/R34aW\nv4wpz+lMoeUlEtehp/9Z7BmWvS7nkaV7bHc8QG9as+8dvV90fxov3R6EVE3EYl1ADd39BrbLy3av\ng5Gmxwp92a2Tker+tBRXawVBEIKiyBbmiFRn7ZxurlfZ4bSBvyR2G4I8vs51SbUSB6es6XRyOsBo\nq2jqukeVdda1LxtP98TpbF04RtqYvg0ty4jq/I9ssmV9cSrulpvS5zOVZNIvcvoa0OtytCR7vei1\ntZWxTuGmNG9NAK+suQFISpADkBQ37rFeXO9036sw4nhIZy0IglAMnC2d9eHDh3Hbbbfhww8/xLhx\n4/DrX/8aI0aMyCl39913Y+PGjRgzZgzeffddbb2mLnJBoJsUw5UN8rhugub0MpNeqPLm7NQ0zeXR\nNN2/9yQJtM090IqVSVouSStUEhuqxYqO2m6JkTcCui6ifQ6qxyx9Deh1OTGUv96ZQE2KtTx16xNy\nytqx7qdjpaL8wcXc2K/9EknlrOOUvohbTFY3t0mlUpg2bRpqamrwb//2b9q6Pcezbm1tRXNzM/bs\n2YNrrrkGra2tbLm77rrLKFarIAjCoJIy/LjAXt38W9/6lrbsqlWrMGnSJMRiZoLG88/Zhg0bsHXr\nVgDA/Pnz0dTUxHbY3/zmN9HR0WFUp0mIVIrf6eY2oY86w9103V5m1Q6quOztKg+Q40z6uMKmzdm/\n+06SADecsqaXi65Ac0H6b1U2q+UgXS2jY8BfADhA0t0k3T8tuwUt2bpIGhk1W0nyxpL0uNw0aVem\nrUD2HFSPQfoa0OvSO5Sf3m9f23PIpBddcCbnG9YJks5V4XT/rH2cDy6W3afw7/t+bd6hEMJlMVnd\nHAD279+PTZs24Uc/+hH+6Z/+yWgfz71cd3c3Kiv7vyiVlZXo7u7W7CEIghAhThbu0D/4wQ/w05/+\nFEeOHDHeJ29nrVrFd/ny5Y7/Y7GYsZTPx/9p2YUS9K+gMKnpAkxqGu27TkEQiptd7f+FXe2fBF+x\nR2Xtd3Xz3/72txgzZgwaGxvR3t5ufNy8nXW+VXwrKytx6NAhVFVV4eDBgxgzZoyyrCm3tExy/M+Z\niwYzzrUb3Dj9m67goYr9wUV263W8ilPzyDl5y9ppR/tUMRPs5hLPPjK2hoxHIDU3UPXy2TimgpEk\nPY6k+xVHCzYwDQCAYUwDKvm0PZeFtouOhdtV0GYx3wx6XZxmq9zrSa+3c9Av6fibD24gmrru8asT\n5Q42mkzUCnsw0s+qTV9pqsJXmrI37/8s+7/BNEp1C95tB/6zXbmb39XN33jjDWzYsAGbNm3CyZMn\nceTIEdx555145pln8u7neYBxzpw5WLNmDQBgzZo1xsupC4IgRIKk4lPfBHy7JfvxiGp18xUrVqCz\nsxP79u3Dc889h6uvvlrbUQM+bNZLly7FrbfeiieffDLjugf0r+K7cOHCzOKQ3/nOd7B161Z8+umn\nqK2txcMPP4y77rqLrVM10KebAj4YmB7XZAqu6UovKvVmqzaV614fE+XN6fqXmzY6P/sUiLsemUuT\nVaujSB5VL/YhPiWq16LK+ihJH0d+7PMlyjpWmk3TNvwFk0eVtX0O9Lw03wzn4G/u9aTX2xm7uj99\nwqOSpc8RNwFHt24oxc33yq/y9vu9DcUJIATXvfXr12Px4sX45JNPMHv2bDQ2NuLll1/O6Rcppibk\nmKXq/geZWCyGf7FuZbdx8RbcEMQrXjF11lyIVNUMRjtN8z7pzvZqpw8Qdw/bTLefnBiX7iR5dNz5\nYPrvpyTPot+YkDtraiWpJemaAX8HptNv4CVjv8hkXVCZPYkR6MlJ0zxu8QEaIpV6jlAzh52vmrXI\nd9a5aZPOWkeUOuvvxX6tVK2mxGIx4FnDOm6P+T5eEERqBmMKCfbB8vqryq06o8PNsbzG6PUSqKmP\nsYtyCnpg2b5MWTp1PbctqdMaOzVNUwVKXffs/p7aqbnvOLUNHyMd7FGispNUcedpFzVZcyofyLrp\njVZst89BpayZbwm9XqmS3OvJ3QOadrPWIqemKbpJMSqbtRs3P+574VVEDYarrBGF92h0RaQ6a0EQ\nhEGjgK57XohcZ+1lgosbNeD3mGGtJM2ZQVRqOGsX5dUbVdlJVsXnX9XDATe1nMxGdyhb20qQG3Wg\nH/tQVAEfU6R1qsduF62LpqnitxU1Z6cGsudAz8uF/Zq7tknFNbbvjcnqL7ZypfeWQzUpxq5XNQWd\nX8+Un4DDoVuj1A0FmW4uyloQBKEIkM5aEAShCJDO2jtuXsGc+3k7DTcDj6aTXtx4g+jiVaui7mUH\nsXLzBqazrnnZ+l0N8HADbXSAUDWol68uau6gDiB0f1MziMokw5lHaDwQziSimhTj4vHiJjzR+2R7\ndqhc/6jJwr7nzqh7uSYRVbzrfO0beCwOdyYRb9/dghKC616YRKqzFgRBGDSK5DfFJrKd9WBMfvGr\nrDmFqptCTvdTrRCSVd4q1z3ODzu/ynZzronS7FPclyD+pUPSzvtUtZ4gaTtfpVi4AUpVXbovkn06\nVA3rVPa5TB7dj+Y5Bhj7rwG9LjpU9567t3FGTavgVDbV2tSxj5turlK99jPpd05DUSHeIIIgCEWA\n2Ky9E+Wp5G5UNJfHue6pXPOSjBrm3MN0yt0N8RLi3pUg6sqRTp8vVZ1UwXKijMx5YSfVnFSkbahK\nL2W2DzFIVwz4OzBtn4NyUkxaoZJrQa+XG+x7E9cob1VZ7t46V5cxJ0g7c1QDrOVFbNaCIAhFQJFZ\nfM6IznowgsSYrvRi4g3CeXs41+HLtUlzKl410YXz/HBzjZTKekjCrpTkkTRVq5n9mTS1TdP9k4o0\nR2LAX8Bps+Y8VlRtHcJsd6jsXGWtQz8hKsVuj2vK9jlOMnfquU5lu/EGGUwK4kEiZhBBEIQiQDpr\nQRCEIkBs1t4JemAiyNggpgOIJq57uqh7ejNH7rF0bVWRde+iA4xZyVE2hLiKJdP1JslxqTscB20K\nN8BI1Y0XVyrVoCDNty0Hqsk8XNS9IbnXgF4Xer3cmBP454je+9yBOhPTGkc2wl+0Jqxw16sgg5K5\nViTfvPDCC2hpacH777+Pt99+G5deeilbrqenB/fccw/ee+89xGIxPPXUU/ja176Wt27PK8UIgiAU\nNaqVYgZ+XHDJJZdg/fr1+Na3vpW33Pe//33MmjULu3fvxs6dO1FfX6+tO1LKWkWQ8W91asRNVD03\nkfS4/VQq3Hy7P3c9FYmExo1vCDlWkqxywYk2erlt1zvVGBlVtqaoBhipm59uANFW3EPIBCDmGiRc\nDDDqUA0qcvmqZ1a3tiIXSS9InO56uW30Gw2TEspgaAhmkIkTJ2rLfP7553jttdcyyyImEgkMHz5c\nu58oa0EQzk5Shp+A2bdvH0aPHo277roLl156KRYuXIjjx3UrI0VMWXtVh0HEo9ZtN50U4zXetW57\nWGRXE+EnfFBlbdtuM7ZrIOvO56w0C+e6RwUXtSPTfJ3qsZWzKuCSLg73Ocx25lyB7DVwXBfw6TBw\nTl5Jsvn5thfDhBVdPOxQVpdRHfKTduDTduVuzc3NOHToUE7+ihUrcMMNN+gPm0xi+/btWL16NaZP\nn44lS5agtbUVDz/8cN79ItVZC4IgDBqqznpEU//HZs8yx+bNmzf7OmxNTQ1qamowffp0AMDcuXPR\n2tqq3S+ynXUQK0d4VdE2XgM1cXkqzw/T7apJL6bo1B9VNg7vAeoBkejPLynPqs7Tjlo07eKUtW4i\nDM3jqjdR1lzQJ8bzg56XY2p5+hqYrO6S3e5/9fIU89bD24bzb1eX1dm8s+fIBXpS7a+zlXPXpiAr\nxYTsuqdaZLeqqgq1tbXYs2cP6urqsGXLFkyePFlbn9isBUE4O+k1/Lhg/fr1qK2txbZt2zB79mzM\nnDkTANDV1YXZs2dnyj3++OO4/fbb0dDQgJ07d+Lv/u7vtHVHVlkLgiCESggzGG+66SbcdNNNOfnV\n1dXYuHFj5v+Ghga8/fbbruqOVGft9lXIdLDEi7lD1Z4gTB+mg5F+zTgqnK+yKWUeAJSX5V95hAqP\nrEmEXDd6CZMD/gLOV1HOcqAzg9BLwEX4o2nHoGO2Ytv8UX5O9lzpAKN9DVQTYbxOkLHRRb9TmxOS\nebfrCHLgUWcecWd+GaSJOzKDURAEoQgo/GROV0S2s/b6S+9VRWf3zz+FW6eGdWrapCxHKK5LyKoz\n55RkfrDRnhSSIoNvVI3aWtQx6Ejd/OwJNDq1PLAMh6vBxvRAD2k3HUy0z4EOKjomBmUG+vjp5rrB\nRq9k41nzvUqQg3Kmg4L0mNwAJMWN2qYMmnuhBHISBEEoAqSz9o7bX1TT8n7VtOpYYU33zndMr6gm\ncegVUe5kmXJiz+09SVbuTitUhx07Qa5tJhCU4rzo1HVTErx7FJhp8iVxsgo4eSOwFTU9L24CjIk9\nmptk5JewVg7n7r3OtqxyE+TeLnSxs9249oWC2KwFQRCKgBCi7oVJZDtrr6rSq4rmjutlCrjX1c1N\nAkCZbqfYikZ13tntvJqhisleeaSvJLsGCaeyqWpNJYmKP9XfbofapqgUdz4UwZWoirZXJY8rAlTZ\n50DVdBmI8gY3KcbcA8RrCFVOrQb7tpW/fq8qm6tf9wanakOoiBlEEAShCBAziCAIQhEgrnvecfv6\n43clGDdmDtN41sUA93qrcj/jXlUdcZR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"text": [ "" ] } ], "prompt_number": 56 }, { "cell_type": "code", "collapsed": false, "input": [ "pcolormesh(x, y, v_y)\n", "axis([x.min(), x.max(), y.min(), y.max()])\n", "colorbar()\n", "title(r'$v_y$')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 57, "text": [ "" ] }, { "metadata": {}, "output_type": "display_data", "png": 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C4nH0SyQS2LhxI6655hqkUimsWLECDQ0NeOyxxwAAd9xxB2bMmIFrr70Wc+bMQVlZGVau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\nO+Tpb0RG1Y0g6zaq3PzMFMw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"text": [ "" ] } ], "prompt_number": 57 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further thoughts: one could even animate the particles in the flow using an integrator. In fact, [someone already did it!](http://tonysyu.github.io/animating-particles-in-a-flow.html). " ] } ], "metadata": {} } ] }