{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "###### Text provided under a Creative Commons Attribution license, CC-BY. Code under MIT license. (c)2014 Lorena A. Barba, Olivier Mesnard. Thanks: NSF for support via CAREER award #1149784." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##### Version 0.3 -- February 2015" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Vortex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's recap. In the first three lessons of _AeroPython_, you computed:\n", "\n", "1. [a source-sink pair](01_Lesson01_sourceSink.ipynb)—you learned how to make a `streamplot()` and use `scatter()` to mark the location of the singular points. If you did your challenge task, you saw that equipotential lines are perpendicular to streamlines.\n", "\n", "2. [a source-sink pair in a free stream](02_Lesson02_sourceSinkFreestream.ipynb), creating a _Rankine oval_. For the first time, we see that we can model the flow around an object using potential flow solutions. You also learned to define custom functions, to make Python work for you and look even more like plain English.\n", "\n", "3. [a doublet](03_Lesson03_doublet.ipynb)—this one is wonderful, because the stream-line pattern gives the flow around a circular cylinder (in two dimensions). You encountered the _D'Alembert paradox_ and hopefully that got you thinking. (If not, go back to that lesson and _think_!)\n", "\n", "Did you also do the [assignment](03_Lesson03_Assignment.ipynb)? It shows you how a *distribution of sources* can be used to model potential flow around an airfoil. This starts looking like aerodynamics!\n", "\n", "But what is the most important thing we want from applied aerodynamics? We want to make things fly, of course! And to fly, there must be a force of *aerodynamic lift* to counteract the weight of the object.\n", "\n", "In this section of the course, we learn about lift. First, we will compute the flow of a potential vortex. It turns out, vortex circulation and lift are intimately related." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What's a vortex?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This question is deeper than you might think! The simple answer is that a vortex is motion in circular streamlines. Imagine streamlines that are concentric circles about a given point—what's confusing is that this _does not mean_ that fluid elements are themselves rotating!\n", "\n", "In an irrotational vortex, the tangential velocity is constant along a (circular) streamline and inversely proportional to the radius, while the radial velocity is zero. In polar coordinates:\n", "\n", "\\begin{equation}\n", "u_\\theta\\left(r,\\theta\\right) = \\frac{\\text{constant}}{r} \\quad \\text{,} \\quad u_r\\left(r,\\theta\\right) = 0\n", "\\end{equation}\n", "\n", "The vorticity is zero everywhere, except at the location of the point vortex, where the derivative of $u_\\theta$ is infinite.\n", "\n", "We introduced the concept of circulation in the first lesson ([Source & Sink](01_Lesson01_sourceSink.ipynb)). Let's use that. Around any circular streamline enclosing the vortex, and using the sign convention that a negative vortex circulates anti-clockwise, we have:\n", "\n", "\\begin{equation}\\Gamma = -\\oint \\mathbf{v}\\cdot d\\vec{l} = -u_\\theta 2 \\pi r\\end{equation}\n", "\n", "Thus, the constant in the expression for $u_\\theta$ in $(1)$ is equal to $\\Gamma/2\\pi$, and we now write:\n", "\n", "\\begin{equation}u_\\theta\\left(r,\\theta\\right) = \\frac{\\Gamma}{2\\pi r}\\end{equation}\n", "\n", "We can get the stream function by integrating the velocity components:\n", "\n", "\\begin{equation}\\psi\\left(r,\\theta\\right) = \\frac{\\Gamma}{2\\pi}\\ln r\\end{equation}\n", "\n", "In Cartesian coordinates, the stream function is\n", "\n", "\\begin{equation}\\psi\\left(x,y\\right) = \\frac{\\Gamma}{4\\pi}\\ln\\left(x^2+y^2\\right)\\end{equation}\n", "\n", "while the velocity components would be:\n", "\n", "\\begin{equation}u\\left(x,y\\right) = \\frac{\\Gamma}{2\\pi}\\frac{y}{x^2+y^2} \\qquad v\\left(x,y\\right) = -\\frac{\\Gamma}{2\\pi}\\frac{x}{x^2+y^2}\\end{equation}\n", "\n", "This vortex flow is irrotational everywhere, except at the vortex center, where it is infinite. The strength of the point vortex is equal to the circulation $\\Gamma$ around it." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Let's compute a vortex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The set-up is the same as before: we load our favorite libraries, and we create a grid of points to evaluate the velocity field." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "import numpy\n", "import math\n", "from matplotlib import pyplot\n", "# embed the figures into the notebook\n", "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "N = 50 # Number of points in each direction\n", "x_start, x_end = -2.0, 2.0 # x-direction boundaries\n", "y_start, y_end = -1.0, 1.0 # y-direction boundaries\n", "x = numpy.linspace(x_start, x_end, N) # computes a 1D-array for x\n", "y = numpy.linspace(y_start, y_end, N) # computes a 1D-array for y\n", "X, Y = numpy.meshgrid(x, y) # generates a mesh grid" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Give your vortex a strength $\\Gamma=5$ and place it at the center of your domain:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "gamma = 5.0 # strength of the vortex\n", "x_vortex, y_vortex = 0.0, 0.0 # location of the vortex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will define two functions, \n", "\n", "* `get_velocity_vortex()` and \n", "* `get_stream_function_vortex()`, \n", "\n", "to compute the velocity components and the stream function on our Cartesian grid, given the strength and the location of the vortex. Then, we will use our custom functions to evaluate everything on the grid points. Let's write those functions first." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_velocity_vortex(strength, xv, yv, X, Y):\n", " \"\"\"\n", " Returns the velocity field generated by a vortex.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the vortex.\n", " xv: float\n", " x-coordinate of the vortex.\n", " yv: float\n", " y-coordinate of the vortex.\n", " X: 2D Numpy array of floats\n", " x-coordinate of the mesh points.\n", " Y: 2D Numpy array of floats\n", " y-coordinate of the mesh points.\n", " \n", " Returns\n", " -------\n", " u: 2D Numpy array of floats\n", " x-component of the velocity vector field.\n", " v: 2D Numpy array of floats\n", " y-component of the velocity vector field.\n", " \"\"\"\n", " u = +strength / (2 * math.pi) * (Y - yv) / ((X - xv)**2 + (Y - yv)**2)\n", " v = -strength / (2 * math.pi) * (X - xv) / ((X - xv)**2 + (Y - yv)**2)\n", " \n", " return u, v" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_stream_function_vortex(strength, xv, yv, X, Y):\n", " \"\"\"\n", " Returns the stream-function generated by a vortex.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the vortex.\n", " xv: float\n", " x-coordinate of the vortex.\n", " yv: float\n", " y-coordinate of the vortex.\n", " X: 2D Numpy array of floats\n", " x-coordinate of the mesh points.\n", " Y: 2D Numpy array of floats\n", " y-coordinate of the mesh points.\n", " \n", " Returns\n", " -------\n", " psi: 2D Numpy array of floats\n", " The stream-function.\n", " \"\"\"\n", " psi = strength / (4 * math.pi) * numpy.log((X - xv)**2 + (Y - yv)**2)\n", " \n", " return psi" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "An now, call the functions with the vortex strength and position, plus the coordinates of the evaluation grid, to get the velocity and streamfunction of the vortex." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# compute the velocity field on the mesh grid\n", "u_vortex, v_vortex = get_velocity_vortex(gamma, x_vortex, y_vortex, X, Y)\n", "\n", "# compute the stream-function on the mesh grid\n", "psi_vortex = get_stream_function_vortex(gamma, x_vortex, y_vortex, X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now able to visualize the streamlines of a vortex, and they look like concentric circles around the vortex center, as expected." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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78RC97a4uvMzD8cAcXP50mM7vZx1KNYP11+NgY26C32b30+nZzKsUY+6xUByc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\nTPGxw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rxKLMWdyEKU1LVgoYslHm5wlZugkFbagPU3otFJRwNpZY24uHIoBqswnEVEeBRT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JFg7yz1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\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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot the streamlines\n", "width = 10\n", "height = (y_end - y_start) / (x_end - x_start) * width\n", "pyplot.figure(figsize=(width, height))\n", "pyplot.xlabel('x', fontsize=16)\n", "pyplot.ylabel('y', fontsize=16)\n", "pyplot.xlim(x_start, x_end)\n", "pyplot.ylim(y_start, y_end)\n", "pyplot.streamplot(X, Y, u_vortex, v_vortex,\n", " density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "pyplot.scatter(x_vortex, y_vortex, color='#CD2305', s=80, marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Vortex & Sink" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For fun, let's use our superposition powers. Add a vortex to a sink, using two new functions to compute the velocity components and the stream function of the sink, and adding to those of a vortex (remember that the sink can be easily replaced by a source by just changing the sign of the strength)." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "strength_sink = -1.0 # strength of the sink\n", "x_sink, y_sink = 0.0, 0.0 # location of the sink" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_velocity_sink(strength, xs, ys, X, Y):\n", " \"\"\"\n", " Returns the velocity field generated by a sink.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the sink.\n", " xs: float\n", " x-coordinate of the sink.\n", " ys: float\n", " y-coordinate of the sink.\n", " X: 2D Numpy array of floats\n", " x-coordinate of the mesh points.\n", " Y: 2D Numpy array of floats\n", " y-coordinate of the mesh points.\n", " \n", " Returns\n", " -------\n", " u: 2D Numpy array of floats\n", " x-component of the velocity vector field.\n", " v: 2D Numpy array of floats\n", " y-component of the velocity vector field.\n", " \"\"\"\n", " u = strength / (2 * math.pi) * (X - xs) / ((X - xs)**2 + (Y - ys)**2)\n", " v = strength / (2 * math.pi) * (Y - ys) / ((X - xs)**2 + (Y - ys)**2)\n", " \n", " return u, v" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def get_stream_function_sink(strength, xs, ys, X, Y):\n", " \"\"\"\n", " Returns the stream-function generated by a sink.\n", " \n", " Parameters\n", " ----------\n", " strength: float\n", " Strength of the sink.\n", " xs: float\n", " x-coordinate of the sink.\n", " ys: float\n", " y-coordinate of the sink.\n", " X: 2D Numpy array of floats\n", " x-coordinate of the mesh points.\n", " Y: 2D Numpy array of floats\n", " y-coordinate of the mesh points.\n", " \n", " Returns\n", " -------\n", " psi: 2D Numpy array of floats\n", " The stream-function.\n", " \"\"\"\n", " psi = strength / (2 * math.pi) * numpy.arctan2((Y - ys), (X - xs))\n", " \n", " return psi" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# compute the velocity field on the mesh grid\n", "u_sink, v_sink = get_velocity_sink(strength_sink, x_sink, y_sink, X, Y)\n", "\n", "# compute the stream-function on the mesh grid\n", "psi_sink = get_stream_function_sink(strength_sink, x_sink, y_sink, X, Y)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's visualize the streamlines of the vortex-sink, and admire our artistic creation:" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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1KBb75g/EcB/t+XkIIdj+IBcckRz73xtEaxK8k1aDn58W4PbHw7T6CF1OrMSR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I339hYyKS7I4XFvPFGBJElCmd6i+MMTPkmSeOjCRCqbO+3e0HRatd1EAA83tZBhcH8Q6qMT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KwqAWIK\n6hBbWIeYwlo0iuRw62kLt562GNnTFs7dbWCsg/UewxAi8mpwL74UXqkVmDHIAQtdumFSPzudgrLW\n4AvEOOqXg0eJZfhkstLpQld7wAK+ED8+SIadhTE+m9aPU3PHUb9sHPbJxqAuVuhrb47iOhGmDrDH\nRjUC7IFZ1fj6VgI2z3LCu6PYfU/kCgbbH6ehvlmKrXMHc+qylisYbLqThPIGEc6/P4qzGLpUzmDt\n1RhYmRriwLvOOjUlZFUKsOxMBI4vd+UkCN0aVQIxFh4Lxc/zhmDWUNXJmqCsanzrkYjHGyeqFac/\nGZAL77QK3Fo7Tq3Y9/f3ktAsVbq4qPpuExG+vp0Aa1Mj/DJ/iE7/Twv2eqajVijD3neGq/z7PwGf\njmgJ+LzTKnEtolBjwMMWC4+HYstsJ40X8fbHqbC3NFbpyyqVM3B298L3bw5CRG4NutqagojU3nlo\nQ0WDGG8cCkLsTzPV3jU2SeQYu9sX4d9PVxsciKQKjN7lg4BNU9V2twrEMoz/1Q9B301T271U3iDC\nrEPBiPh+hsagWBtOBOQgr1qI3xdr95JVh6SSenx8JQaBm6bpvDDcii7Crehi3Fk3XuWCFV9Uh0+u\nxsLry8msvXJb43Z0MTxTy3FqhRtn6Ygf7yejslGM0yvcoM9SCiW6oBbrrsaymogP+WThVnQxuncw\nQzcbU4Tk8HFyheufbmSyKhqx7nocRvfqgF/mD2F1nn3SKvHzwxRM7G+HH98c/Ld1zrZGTZMEf0QX\n425sCWzNjTB7aGfMG+HI2bNTLFMgubQB8UV1iC+qR1xRHRQMwbm7Lcb16YDO1qbo2dEMvezMdcpc\nSeUMpHIF9PX0oKcH6PN40Nfj6ZRRUTCE355n4FJYAbrZmsLzi8moaBAjp1qAnKom5FYJkVPdBBMD\nPZTUizCyZweM7KUM8PraW7QrIMusEOBefAkeJZTB1swIb7l21VkOpi34TRKcDcrDrZhirBjTE6sn\n9NKpAx9QSpOcDWCQ5xgAACAASURBVM7D2aA8rJ/aD6sn9OIkI/QsuRzrr8eho7kR3hzWBQM6W2KA\ngwWGdrX+S2BFpHTnOO6Xg2PLXVnblwklcmy8GQ+ZgsHx5a6wYnlDByivpy9vxaNJosDpFW6c52AF\nQ/j8ZjwkcgYnV7iyckNpi8pGERYdD8N3s5yw0KUr5+0BZff2j/dS0NXWBF+9pjpRU1TTjG2PUrB2\nSl+1c1lYDh+nAnOx5+3hah05HiaU4m5sCY4vd/3T+sgwBIFEDmtTQ9yILMKTpDJc+GAU57WEiBBT\nWIdRvTrgeUoFdj9Lx7PPJ6qsnAD/BHw6oyXgq2gQ480jwYj9aWa7S0k7nqShg7mRRkuZ5ykVuBlV\npDLALK0X4etbCTi4xBlzj4Yg5seZYIjapV0250gwts0bolHOYPXFKLzl2g3zNJR+N9yIw7i+HTXa\nqG24EYexfTr+Rb6jNT64GIUFzo5Y1A4pnPpmKabsC4D315PhYKn7orHmcgzG9+2IDyfqluVjGMLC\nE6GvylGq8MujVAglcuzTITglInx6LQ6drU043zlK5Qx+epAMS2MDbJ3HftuwXD423ojH6ZVuGrXO\nWoL3qQPtkc8X4tyqkSoX8CaJHJvvJqGAL8TJ5W6sSk8CsQz7XmTieUoFfp43GHOGdflby7wtkMkV\nCM+rxaPEMnilVmCIozXmOzti9tDOOmXViQjlDWLEF9Ujj9+E1NJGFNQofXTNjQ3Q284MvTqao5ed\nOXp1NEf3DqawMTWCtakhLE0M2p3lan0cAokcNU1S8AViXI0oRFR+HYwM9NDbzgyVjRIU1AjR0dwY\nfezN0c/BQvmwV5Z6O+gYMLVGAV+I4Oxq3IwqRl2zFAucu2KRS9d26x62oFogwZmgXNyOKcECZ0d8\nOrVvu2zf4ovq8P29ZHSyMsHOhUM5ST+JpAq4P0lFWG4Njix1wQgtJVyBWIbv7iShpE6Ek8td0Y3l\nvqoaxfjwcjQGd7HCrkXDOAVcIqkyUAR4OL6cu/YgwxB2P0tHLr8JJ5e76XST3CCSYcnpcCwb3QPv\nj+/FeXugJZuWCIlcgWPLXFV+Z5okcrx1IhTLx/RUu5/SehEWHg/F4SXOaqXLsisFWHImAtfXjMGg\nLn+Wm3mUWIbgrGp8OLE3lp+LxO2149Raq2pCRYMYc4+G4OnnEzHnSAhOr3RVW/0D/gn4dEZLwEdE\nmHUoGOffH8n6i6cOz5LL8DylUmMJtaZJgrlHQxD83TSVgVwLh2nG/gAcfc8Fg7voXrYEgP1emZAr\nCJtnO6kdczOqCGE5fBx9z1XtmOcp5bgSXogbH49VO8Y3vRInA3Jx59Pxasc8Sy7H1fBC3PxE/fuw\nwY/3lSWXr14boPN7pJQ24MNL0QjcNE3njGNcUR0+vRYL32+mqsziNEnkeP1AIH5fPELtxKIJDSIZ\n5h4Nxo9vDtIq1NoW9c1SvHNKOcF+xCGoDcqqxrngPGyY3l/jjcLK85FY7NYNRbXNuBlVjLOrRqrU\nJSMiXAorwHH/HOx5azhmstTaii2sw/f3ktCzozm2zhmEHmp8n/8OiGUKBGRWvZzI+RjTpwMWOHfF\n5AH2KkufXMAwylJuPl+Iwhoh8muEKOQ3w0Cfh/iiejSKZBBK5bAwNvgTj8/a1BDdO5ihUSQHtSrp\ntubvMURgGAAgFNeJUNMkRa1QCiMDPXS0MIKtmSGSSxugz+Ohi40pJg+wwyLnbhjY2VInb2N1kCkY\nRBfUwj+jCr4ZVRCI5Xh3ZDdM6GuHMX06tkuPrDWqBGKcDszDndgSLHLpinVT+rIWcFaFhmYZzoXk\n4Y/oYvw0ZxDmj3DkdHORUlqPH+4no4+dBXYsHKqVQpFR0Yj11+Iwtm9H/Dx3MOvAKbOiER9eisHS\nUd2xYXo/TscoEMvw2fU49LYzx09zB3POzDEMYfPdJBTVNuPi6lGsROfbQiRVYNWFSAztao2f5w7W\n+QbuiG82fNMr8ccn41TO2QxDWHstFnYWRti9aJjK/YhlCrx7Ohxzh3dRq6cqlMgx/1gI1r0UjG8L\n98dpsDY1wMPEMmyY1k9n44GgrGqc8M+BoYEeXHrY4mst65muAd9/k/DyfxQtIqmJJQ3tDvhG9uyA\nLXeTNTpldLQwhrWpIVLKGlWSeVsu0Al97RCSzW93wPf64E745naixoDvtcEOOOyTBbFMoXYCmjrA\nHvteZKKqUay2FDN5gD2O+eUgny9EbzUNAzMGOeBKeKFGMWc2WD2hF9wfp0EkVegcrA3tao3JA+xx\nJ64EKzVkJTXBtYctJvazx+nAXHzz+l/LCxbGBnBfMBQ/3E+G5+eTYMpxkbU2NcTRZa746FI0hjha\nc8o82JgZ4dLqUXjnZDgcrU0wW426fFtMHmAPPR4P667F4uASZ0wZoJrT9/64Xkgrb8TnM/qjR0dz\nrDgfid8XD8d0pz8HdDweD6sn9MbwbjbY45mO8Dw+Nr3hpHWxc+tpiycbJ+FmVBEWHA/FuyO747Pp\n/TiVsdjCxFAfs4Z2wayhXSAQy+CVWomo/Bp8fy8ZAztbYlJ/O0zqb48R3aw5Z9z19HjobG2CztYm\nakV05QoGArH8FZevQSRDo1gGmYKBUKKAvh4Pei+5e3ovS7t6L1/T5/FgbmwAWzMjdLQwQgdzo7+c\nW4lcAe+0StyMKsLHV2Lw++IRWht0tKGmSYLArGr4ZlQhOKsavezMMd3JAYeXuGCIo9XflrEElIHS\nxZACVDSK0NvOAl5fTeZcgm8NuYLBzagiHPbNxiKXrvD+ajKnrK5UzuCYfw6uRxTCfcEQzGHB070X\nV4KdT9Px05xBnAIE3/RKHPPLwbevD8AijoFFtUCCDy5Gwbm7DX6eN4Rz4P13BHsyBYMNN+LgaGOK\nrXN0D/YeJ5bhVnQx7n82Xu2cf9AnC/XNUhx/z1Ut3+7nhynobmum1gWDiLDlXjJG9uygln+cUtYA\nI30enLvZQKZgcMA7S2uwpgpZlQIoiCBslsGAB4ze5YMXOlKANOGfDN/LDB8AHPfPQZ1Qip/m6saV\na43p+wNwZKmLRjK4++M0dLTQXPr1TqvEpbB8XF/TvkwYwxDG7/HDtTVjNKac3zsbgVXjemrMIn3r\nkQinzpYabbR2PkmDsaEeNr2hPsD81TMdDKM7N7EFH1+JwaT+dlg1rpfO75FdKcDSMxHw+3aqzpkc\nvkCC2YeDcHXNGDipUZp3f5wKPR7w01zdSL3ngvOQXNqA394Zzrkck1LagPcvRGkt07ZFi03TLhY2\nUMrxdTjkk4VxfTri06l9VU64dUIpfnyQjJyqJhxc4sy68aaqUYz9XlnwzajCFzP6YdnoHn+LTZs2\niGUKxBTUITi7GkHZfJTWNWN8XztMGmCHyf3tdXZ9+U+iqKYZpkb6nCywiAhFtc2IKahDTGEd4grr\nYG9pDHNjfUx3csC0gQ5/CyevNRQMwS+jChdD85FT1YSVY3vivTE9dObotSAkm48dT9Jga26In+cO\n4exqlFbWiG88EtHF2gS/vjVMa+Apkipw2DcLXqkVOLHCTe0c0RZEhBMBubgSXoATy93g1pNbx3tR\nTTNWXYjEAueu+HJmf86B1t8R7DEMg013kpVcy1UjObkPtUZLU9lVDe4mz5PLse9FJm6tG6e2c/yP\nqCI8SCjV2LByNaIAQVl8HF3movKmlGEIg35+jh4dzCCQyNHfwQJfvTZAJ4vWj6/EIDSHD2MDPUwe\nYI8vZvTXmAjRNcP3H9fB+08/WnT4iIjuxBTR0G3P6e/AlrtJdC5YsxClT1oFLTsTrnGMQCyjwVs9\nddJIaoutD5LpmJ9q7bQWHPXNptcPBGgcE5JdrVXMOaO8kcbs8tHoVlDIF5KLu1e7xDaJlGKZ43/1\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zTHc84yw8EzhwnSdkSjWOL3M3eHq7OrU1y+ebkI9PT4bB+8MxJs08bPSMRXRWKXa+OkTn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\n2nsXLwzuaJAavRBbvR+guEI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B+BHAeCK6yRizgKZq1xLAECKqeKwN5HA4DRY+w8fhcDi1\ngFaS5TsAG4joJgAQkRzAPABdAGx6fK3jcDgNHT7Dx+FwOBwOh1PP4TN8HA6Hw+FwOPUcHvBxOBwO\nh8Ph1HN4wMfhcDgcDodTz+EBH4fD4XA4HE49hwd8HA6Hw+FwOPUcHvBxOBwOh8Ph1HN4wMfhcDgc\nDodTz+EBH4fD4XA4HE49hwd8HA6Hw+FwOPWc/wPGIcA/gbn+JgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# superposition of the sink and the vortex\n", "u = u_vortex + u_sink\n", "v = v_vortex + v_sink\n", "psi = psi_vortex + psi_sink\n", "\n", "# plot the streamlines\n", "width = 10\n", "height = (y_end - y_start) / (x_end - x_start) * width\n", "pyplot.figure(figsize=(width, height))\n", "pyplot.xlabel('x', fontsize=16)\n", "pyplot.ylabel('y', fontsize=16)\n", "pyplot.xlim(x_start, x_end)\n", "pyplot.ylim(y_start, y_end)\n", "pyplot.streamplot(X, Y, u, v, density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "pyplot.scatter(x_vortex, y_vortex, color='#CD2305', s=80, marker='o');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Very cool op-art. (And a good model for your typical bath-tub vortex.) But is all this useful? Yes!\n", "\n", "First, you will take your training wheels off and—on your own—compute the flow of an [infinite row of vortices](05_Lesson05_InfiniteRowOfVortices.ipynb). Your mission, should you choose to accept it, is in the next notebook.\n", "\n", "After that, we will learn about the connection between a vortex, and the force of lift. This turns out to be very important in aerodynamics!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## What's this \"irrotational\" vortex thing?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "I know what you are thinking.\n", "\n", "What does it mean that the vortex is *irrotational*? Surely if there's a vortex, there's rotation!\n", "\n", "You are not crazy. It's natural to think this way, but the potential vortex is a flow where streamlines are circular, yet fluid elements do not rotate around themselves—they just go around the circular path.\n", "\n", "This classic video will help you understand ... just watch the 25 seconds of video after time 4m 25s, and see a \"vorticity meter\" go around a free vortex without rotating itself." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/jpeg": 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"text/html": [ "\n", " \n", " " ], "text/plain": [ "" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.display import YouTubeVideo\n", "from datetime import timedelta\n", "\n", "start=int(timedelta(hours=0, minutes=4, seconds=25).total_seconds())\n", "\n", "YouTubeVideo(\"loCLkcYEWD4\", start=start)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember: vorticity measures the local angular velocity of each fluid element. If the fluid elements go around a circular path, but do not spin themselves, there is no vorticity!\n", "\n", "This animation from [Wikipedia](http://en.wikipedia.org/wiki/Vortex#Irrotational_vortices) helps further illustrate what happens in an irrotational vortex: the orange markers with a line across them are going around in circles, but they are not themselves rotating (notice the white lines keep their orientation).\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Next ..." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next IPython Notebook of the *AeroPython* series presents the exercise [\"Infinite row of vortices,\"](05_Lesson05_InfiniteRowOfVortices.ipynb) as independent student work." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "raw", "metadata": {}, "source": [ "Please ignore the cell below. It just loads our style for the notebook." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from IPython.core.display import HTML\n", "def css_styling(filepath):\n", " styles = open(filepath, 'r').read()\n", " return HTML(styles)\n", "css_styling('../styles/custom.css')" ] } ], "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": "3.6.3" } }, "nbformat": 4, "nbformat_minor": 1 }