{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "raw", "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": [ "[@LorenaABarba](https://twitter.com/LorenaABarba)" ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Version 0.2 -- February 2014" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Lift on a cylinder" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Remember when we computed uniform flow past a [doublet](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/03_Lesson03_doublet.ipynb)? The stream-line pattern produced flow around a cylinder. When studying the pressure coefficient, we realized that the drag on the cylinder was exactly zero, leading to the _D'Alembert paradox_.\n", "\n", "_What about lift?_ Is it possible for a perfectly circular cylinder to experience lift?\n", "What if the cylinder is rotating? Have you heard about the Magnus effect?\n", "\n", "You might be surprised to learn that all we need to do is add a [vortex](http://nbviewer.ipython.org/urls/github.com/barbagroup/AeroPython/blob/master/lessons/04_Lesson04_vortex.ipynb) in the center of the cylinder. Let's see how that looks.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First, we recall the equations for the flow of a doublet. In Cartesian coordinates, a doublet located at the origin has a stream function and velocity components given by\n", "\n", "$$\\psi\\left(x,y\\right) = -\\frac{\\kappa}{2\\pi}\\frac{y}{x^2+y^2}$$\n", "\n", "\n", "$$u\\left(x,y\\right) = \\frac{\\partial\\psi}{\\partial y} = -\\frac{\\kappa}{2\\pi}\\frac{x^2-y^2}{\\left(x^2+y^2\\right)^2}$$\n", "\n", "$$v\\left(x,y\\right) = -\\frac{\\partial\\psi}{\\partial x} = -\\frac{\\kappa}{2\\pi}\\frac{2xy}{\\left(x^2+y^2\\right)^2}$$\n" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Let's start computing!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll place a doublet of strength $\\kappa=1$ at the origin, and add a free stream $U_\\infty=1$ (yes, we really like the number one). We can re-use the code we have written before; this is always a good thing." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from math import *\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "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 = np.linspace(x_start, x_end, N) # computes a 1D-array for x\n", "y = np.linspace(y_start, y_end, N) # computes a 1D-array for y\n", "X, Y = np.meshgrid(x, y) # generates a mesh grid" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "code", "collapsed": false, "input": [ "kappa = 1.0 # strength of the doublet\n", "x_doublet, y_doublet = 0.0, 0.0 # location of the doublet\n", "\n", "u_inf = 1.0 # freestream speed" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are our function definitions for the doublet:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def get_velocity_doublet(strength, xd, yd, X, Y):\n", " \"\"\"Returns the velocity field generated by a doublet.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the doublet.\n", " xd, yd -- coordinates of the doublet.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " u = - strength/(2*pi)*((X-xd)**2-(Y-yd)**2)/((X-xd)**2+(Y-yd)**2)**2\n", " v = - strength/(2*pi)*2*(X-xd)*(Y-yd)/((X-xd)**2+(Y-yd)**2)**2\n", " \n", " return u, v\n", "\n", "def get_stream_function_doublet(strength, xd, yd, X, Y):\n", " \"\"\"Returns the stream-function generated by a doublet.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the doublet.\n", " xd, yd -- coordinates of the doublet.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " psi = - strength/(2*pi)*(Y-yd)/((X-xd)**2+(Y-yd)**2)\n", " \n", " return psi" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And now we compute everything to get the flow around a cylinder, by adding a free stream to the doublet:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# computes the velocity field on the mesh grid\n", "u_doublet, v_doublet = get_velocity_doublet(kappa, x_doublet, y_doublet, X, Y)\n", "\n", "# computes the stream-function on the mesh grid\n", "psi_doublet = get_stream_function_doublet(kappa, x_doublet, y_doublet, X, Y)\n", "\n", "# freestream velocity components\n", "u_freestream = u_inf * np.ones((N, N), dtype=float)\n", "v_freestream = np.zeros((N, N), dtype=float)\n", "\n", "# stream-function of the freestream flow\n", "psi_freestream = u_inf * Y\n", "\n", "# superposition of the doublet on the freestream flow\n", "u = u_freestream + u_doublet\n", "v = v_freestream + v_doublet\n", "psi = psi_freestream + psi_doublet" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are ready to do a nice visualization. To get the plots inside the notebook, we use the command `%matplotlib inline` :" ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "\n", "# plots the streamlines\n", "size = 10\n", "plt.figure(figsize=(size, (y_end-y_start)/(x_end-x_start)*size))\n", "plt.xlabel('x', fontsize=16)\n", "plt.ylabel('y', fontsize=16)\n", "plt.xlim(x_start, x_end)\n", "plt.ylim(y_start, y_end)\n", "plt.streamplot(X, Y, u, v, density=2, linewidth=1, arrowsize=1, arrowstyle='->')\n", "plt.scatter(x_doublet, y_doublet, color='#CD2305', s=80, marker='o')\n", "\n", "# calculates the cylinder radius and adds it to the figure\n", "R = sqrt(kappa/(2*pi*u_inf))\n", "circle = plt.Circle((0, 0), radius=R, color='#CD2305', alpha=0.5)\n", "plt.gca().add_patch(circle)\n", "\n", "# calculates the stagnation points and adds it to the figure\n", "x_stagn1, y_stagn1 = +sqrt(kappa/(2*pi*u_inf)), 0\n", "x_stagn2, y_stagn2 = -sqrt(kappa/(2*pi*u_inf)), 0\n", "plt.scatter([x_stagn1, x_stagn2], [y_stagn1, y_stagn2], color='g', s=80, marker='o');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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VFKZL/H6c6jhOTlZ2A3ASTAZtPT2Y6Jz1PD+f6Jxz8JzUOp3cLyiIbvwPJ0o1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\nV0P3paSMfMe/4QY8rl2LA3Uocbm0wYBKdzdOPLKjg9H5mDHajqFRobRFaWl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"text": [ "" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice! We have cylinder flow. \n", "\n", "Now, let's add a vortex located at the origin with a positive strength $\\Gamma$. In Cartesian coordinates, the stream function and velocity components are given by:\n", "\n", "$$\\psi\\left(x,y\\right) = \\frac{\\Gamma}{4\\pi}\\ln\\left(x^2+y^2\\right)$$\n", "\n", "$$u\\left(x,y\\right) = \\frac{\\Gamma}{2\\pi}\\frac{y}{x^2+y^2} \\qquad v\\left(x,y\\right) = -\\frac{\\Gamma}{2\\pi}\\frac{x}{x^2+y^2}$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on these equations, we define the functions `get_velocity_vortex()` and `get_stream_function_vortex()` to do ... well, what's obvious by the function names (you should always try to come up with obvious function names). Play around with the value of $\\ \\Gamma$ and recalculate the flow. See what happens." ] }, { "cell_type": "code", "collapsed": false, "input": [ "gamma = 4.0 # strength of the vortex\n", "x_vortex, y_vortex = 0.0, 0.0 # location of the vortex" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "def get_velocity_vortex(strength, xv, yv, X, Y):\n", " \"\"\"Returns the velocity field generated by a vortex.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the vortex.\n", " xv, yv -- coordinates of the vortex.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " u = + strength/(2*pi)*(Y-yv)/((X-xv)**2+(Y-yv)**2)\n", " v = - strength/(2*pi)*(X-xv)/((X-xv)**2+(Y-yv)**2)\n", " return u, v\n", "\n", "def get_stream_function_vortex(strength, xv, yv, X, Y):\n", " \"\"\"Returns the stream-function generated by a vortex.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the vortex.\n", " xv, yv -- coordinates of the vortex.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " psi = strength/(4*pi)*np.log((X-xv)**2+(Y-yv)**2)\n", " \n", " return psi" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "code", "collapsed": false, "input": [ "# computes the velocity field on the mesh grid\n", "u_vortex, v_vortex = get_velocity_vortex(gamma, x_vortex, y_vortex, X, Y)\n", "\n", "# computes the stream-function on the mesh grid\n", "psi_vortex = get_stream_function_vortex(gamma, x_vortex, y_vortex, X, Y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have all the necessary ingredients (uniform flow, doublet and vortex), we apply the principle of superposition, and then we make a nice plot." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# superposition of the doublet and the vortex on the freestream flow\n", "u = u_freestream + u_doublet + u_vortex\n", "v = v_freestream + v_doublet + v_vortex\n", "psi = psi_freestream + psi_doublet + psi_vortex" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "code", "collapsed": false, "input": [ "# calculates cylinder radius\n", "R = sqrt(kappa/(2*pi*u_inf))\n", "\n", "# calculates the stagnation points\n", "x_stagn1, y_stagn1 = +sqrt(R**2-(gamma/(4*pi*u_inf))**2), -gamma/(4*pi*u_inf)\n", "x_stagn2, y_stagn2 = -sqrt(R**2-(gamma/(4*pi*u_inf))**2), -gamma/(4*pi*u_inf)\n", "\n", "# plots the streamlines\n", "size = 10\n", "plt.figure(figsize=(size, (y_end-y_start)/(x_end-x_start)*size))\n", "plt.xlabel('x', fontsize=16)\n", "plt.ylabel('y', fontsize=16)\n", "plt.xlim(x_start, x_end)\n", "plt.ylim(y_start, y_end)\n", "plt.streamplot(X, Y, u, v, density=2, linewidth=1, arrowsize=1.5, arrowstyle='->')\n", "circle = plt.Circle((0, 0), radius=R, color='#CD2305', alpha=0.5)\n", "plt.gca().add_patch(circle)\n", "plt.scatter(x_vortex, y_vortex, color='#CD2305', s=80, marker='o')\n", "plt.scatter([x_stagn1, x_stagn2], [y_stagn1, y_stagn2], color='g', s=80, marker='o');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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aMZl3ooix7FjuussD5G6hatWqiYEDpYiPNzehWy9JiQBVxyqdOgVwDAoCiKxZ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zNPfn6AcKNrOj2dtdC5M+vKSH/MrCxyuD09cbYdpbpcuUJ418uL+5UGdC1bAmo0SU3l2hER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\nceJGhPFtbbUEQx+9PCtDYSFig9LSHr/y80FKCgpwFRY++TM3F59NT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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The challenge task in the [doublet notebook](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/03_Lesson03_doublet.ipynb) was to calculate the radius of the cylinder created by the doublet in a uniform flow. You should have gotten\n", "\n", "$$R = \\sqrt{\\frac{\\kappa}{2\\pi U_\\infty}}$$\n", "\n", "The new challenge is to find where the stagnation points are located on the surface of the cylinder, when there's a vortex. (You just need an expression for the angles.)\n", "\n", "What hapens if $\\ \\frac{\\Gamma}{4\\pi U_\\infty R} >1$?\n", "\n", "Go back and experiment with a value of $\\Gamma$ that causes this." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Pressure coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's get the pressure coefficient on the surface of the cylinder and compare with the case with no vortex.\n", "The velocity components in polar coordinates for the combined freestream + doublet + vortex are given by\n", "\n", "$$u_r\\left(r,\\theta\\right) = U_\\infty \\cos\\theta \\left(1-\\frac{R^2}{r^2}\\right)$$\n", "\n", "$$u_\\theta\\left(r,\\theta\\right) = -U_\\infty \\sin\\theta \\left(1-\\frac{R^2}{r^2}\\right) - \\frac{\\Gamma}{2\\pi r}$$\n", "\n", "where $R$ is the cylinder radius.\n", "\n", "We see that the radial component vanishes on the surface of the cylinder whereas the tangential velocity is given by\n", "\n", "$$u_\\theta\\left(R,\\theta\\right) = -2U_\\infty \\sin\\theta - \\frac{\\Gamma}{2\\pi R} .$$\n", "\n", "As a note, when there is no vortex, the tangential velocity on the cylinder becomes\n", "\n", "$$u_\\theta\\left(R,\\theta\\right) = -2U_\\infty \\sin\\theta .$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the doublet notebook, we know that the pressure coefficient is defined by\n", "\n", "$$C_p = 1-\\frac{U^2}{U_\\infty^2}$$\n", "\n", "where $U^2 = u^2+v^2 = u_r^2+u_\\theta^2$.\n", "\n", "Let's plot it!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# calculates the surface tangential velocity on the cylinder\n", "theta = np.linspace(0, 2*pi, 100)\n", "u_theta = -2*u_inf*np.sin(theta) - gamma/(2*pi*R)\n", "\n", "# computes the surface pressure coefficient\n", "cp = 1.0 - (u_theta/u_inf)**2\n", "\n", "# if there was no vortex\n", "u_theta_no_vortex = -2*u_inf*np.sin(theta)\n", "cp_no_vortex = 1.0 - (u_theta_no_vortex/u_inf)**2\n", "\n", "# plots the surface pressure coefficient\n", "size = 6\n", "plt.figure(figsize=(size, size))\n", "plt.grid(True)\n", "plt.xlabel('$\\theta$', fontsize=18)\n", "plt.ylabel('$C_p$', fontsize=18)\n", "plt.xlim(theta.min(), theta.max())\n", "plt.plot(theta, cp, color='#CD2305', linewidth=2, linestyle='-')\n", "plt.plot(theta, cp_no_vortex, color='g', linewidth=2, linestyle='-')\n", "plt.legend(['with vortex', 'without vortex'], loc='best', prop={'size':16});" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EwWnVWr7oarqF86OtH3Er55bMESnH3bepTus2zWkaEKDgKqT84Bdla0AAXmvx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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Lift and Drag" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The lift is the component of force perpendicular to $U_\\infty$, while the drag is the component parallel to $U_\\infty$. How could we get them with the information we have above? \n", "\n", "Well, the force on the cylinder is a product of the pressure acting on its surface (there is no viscosity here: it's ideal flow). If you draw a free body diagram, you should see that:\n", "\n", "$$D = -\\int_0^{2\\pi} p \\ \\cos\\theta \\ R \\ d\\theta$$\n", "\n", "$$L = -\\int_0^{2\\pi} p \\ \\sin\\theta \\ R \\ d\\theta$$\n" ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge Task" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using Bernoulli's equation, replace $p$ in the equations above to obtain the lift and drag.\n", "\n", "What does this mean?" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "The Magnus effect" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The force experienced by a rotating cylinder (or sphere, or any object) is known as the _Magnus effect_.\n", "\n", "Believe it or not, someone actually tried to build an airplane with this concept: spinning cylinders as \"wings.\" According to an article on [PilotFriend](http://www.pilotfriend.com/photo_albums/potty/2.htm), a plane called the 921-V was built in 1930 and flew \"at least once\" before crashing." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import Image\n", "Image(url='http://upload.wikimedia.org/wikipedia/commons/7/78/Flettner_Rotor_Aircraft.jpg')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "" ], "metadata": {}, "output_type": "pyout", "prompt_number": 13, "text": [ "" ] } ], "prompt_number": 13 }, { "cell_type": "markdown", "metadata": {}, "source": [ "And nowadays, a handful of hobbyists build RC \"rotorwings\" taking advantage of the Magnus effect to collect views on YouTube ..." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from IPython.display import YouTubeVideo\n", "YouTubeVideo('POHre1P_E1k')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", " \n", " " ], "metadata": {}, "output_type": "pyout", "prompt_number": 14, "text": [ "" ] } ], "prompt_number": 14 }, { "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", "collapsed": false, "input": [ "from IPython.core.display import HTML\n", "def css_styling():\n", " styles = open('../styles/custom.css', 'r').read()\n", " return HTML(styles)\n", "css_styling()" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "\n", "\n", "\n", "\n", "\n" ], "metadata": {}, "output_type": "pyout", "prompt_number": 15, "text": [ "" ] } ], "prompt_number": 15 } ], "metadata": {} } ] }