{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "raw", "metadata": {}, "source": [ "Content provided under a Creative Commons Attribution license, CC-BY 4.0; code under MIT license. (c)2014 Lorena A. Barba, Olivier Mesnard, 2014. 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 -- March 2014" ] }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Source & Sink in a Freestream" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You have reached the second notebook of the [*AeroPython*](https://github.com/barbagroup/AeroPython) series. Are you ready? Did you diligently study the first notebook and write your own version of the Python code to visualize a [Source & Sink](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/01_Lesson01_sourceSink.ipynb)? \n", "\n", "These notebooks are designed to build from each other, so don't skip any! With each one, you'll learn more Aerodynamics and more Python. In this notebook, you will build a solution of potential flow by adding a source, a sink, and a uniform free stream. Why? Because we can! Remember *superposition*? It's the pleasant property of (linear) potential flow, governed by Laplace's equation: $\\nabla^2 \\phi =0$.\n", " \n", "This notebook will also show you how to modularize our code using function definitions. This will make things easier to manage." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Let's get started" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start by importing the libraries that we will be using in this notebook (as before): the **NumPy** array library, the **Matplotlib** plotting library and the mathematical functions in the `math` module." ] }, { "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": "markdown", "metadata": {}, "source": [ "To visualize the streamlines, we need to create a grid of points where we'll compute the velocity. We've done this in the previous notebook, so we just copy the code here. And right after copying and pasting the code, you might start thinking: *Why don't I write a function that creates my grid for any flow? Then I can reuse it!* And you would be right to think that. But let's do it the old way." ] }, { "cell_type": "code", "collapsed": false, "input": [ "N = 200 # Number of points in each direction\n", "x_start, x_end = -4.0, 4.0 # x-direction boundaries\n", "y_start, y_end = -2.0, 2.0 # y-direction boundaries\n", "x = np.linspace(x_start, x_end, N) # 1D-array for x\n", "y = np.linspace(y_start, y_end, N) # 1D-array for y\n", "X, Y = np.meshgrid(x, y) # generates a mesh grid" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have our set of points now, and the two arrays `X` and `Y` contain their $x$- and $y$-coordinates (respectively) of every point on the rectangular grid (as before). \n", "\n", "Now, let me ask you this: do you understand well what the function [`meshgrid()`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.meshgrid.html) does? What size is `X` and what do its elements look like? You can ask Python about the array size using the NumPy function `shape()`:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "np.shape(X)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "text": [ "(200, 200)" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Is that what you expected? Think about it. Make sure you understand this function by now." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Source in a uniform flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the previous notebook, we already computed the velocity field of a source and that of a sink. We will first superimpose a source on a uniform flow and see what happens.\n", "\n", "The streamlines of a freestream with speed $U_\\infty$ and angle of attack $\\alpha$ are given by:\n", "\n", "$$\\psi_\\text{freestream}\\left(x,y\\right) = U_\\infty \\left(y\\cos\\alpha - x\\sin\\alpha\\right)$$\n", "\n", "Think about it: the streamlines are all straight, parallel lines that make an angle $\\alpha$ with the $x$-axis. If the flow is completely horizontal, $\\psi= U_\\infty y$. Integrate, and you get that $u=U_\\infty$ and $v=0$.\n", " \n", "Let's write some code that will fill the arrays containing the $u$-velocity, the $v$-velocity and the stream function of a uniform horizontal flow $\\left(U_\\infty,\\alpha=0\\right)$, on every point of our grid. Note the handy NumPy functions [`ones()`](http://docs.scipy.org/doc/numpy/reference/generated/numpy.ones.html), which creates a new array and fills it up with the value 1 everywhere, and `zeros()`, which creates an array filled with ... can you guess?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "u_inf = 1.0 # freestream speed\n", "\n", "# computes the freestream velocity field\n", "u_freestream = u_inf * np.ones((N, N), dtype=float)\n", "v_freestream = np.zeros((N, N), dtype=float)\n", "\n", "# computes the stream-function\n", "psi_freestream = u_inf * Y" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Notice how we calculated all the values of `psi_freestream` in one fell swoop? No need for those cumbersome double loops\u2014and it turns out, when the arrays are big, this is a lot faster to compute! Thank you `Numpy`!\n", "\n", "From our previous *AeroPython* notebook, the stream function of a source flow located at $\\left(x_\\text{source},y_\\text{source}\\right)$ is:\n", "\n", "$$\\psi_\\text{source}\\left(x,y\\right) = \\frac{\\sigma}{2\\pi} \\arctan \\left(\\frac{y-y_\\text{source}}{x-x_\\text{source}}\\right)$$\n", "\n", "and the velocity components are:\n", "\n", "$$u_\\text{source}\\left(x,y\\right) = \\frac{\\sigma}{2\\pi} \\frac{x-x_\\text{source}}{\\left(x-x_\\text{source}\\right)^2 + \\left(y-y_\\text{source}\\right)^2}$$\n", "\n", "$$v_\\text{source}\\left(x,y\\right) = \\frac{\\sigma}{2\\pi} \\frac{y-y_\\text{source}}{\\left(x-x_\\text{source}\\right)^2 + \\left(y-y_\\text{source}\\right)^2}$$\n", "\n", "And remember that the stream function and velocity field of a source and a sink are exactly the same except one has positive strength while the other has negative strength. \n", "\n", "We can write functions that serve a double purpose: with $\\sigma$ positive, they give the velocity and stream function of a source; with $\\sigma$ negative, they give them for a sink. Aren't we clever?\n", "\n", "Let's define a function called `get_velocity()` to compute the velocity components $(u,v)$ on a mesh (`X`,`Y`), given the `strength` of the singularity and its location (`xs`,`ys`). We define it with the `def` command, followed by our chosen name for the function, and any parameters inside the parenthesis. The line ends with a colon:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "def get_velocity(strength, xs, ys, X, Y):\n", " \"\"\"Returns the velocity field generated by a source/sink.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the source/sink.\n", " xs, ys -- coordinates of the source/sink.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " u = strength/(2*pi)*(X-xs)/((X-xs)**2+(Y-ys)**2)\n", " v = strength/(2*pi)*(Y-ys)/((X-xs)**2+(Y-ys)**2)\n", " \n", " return u, v" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 5 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here, did you notice the message after the function definition? It's there to help the user know how the function works (we call it a \"docstring\"). Any message between `\"\"\"Triple quotes\"\"\"` right after a function definition will be displayed to the user when calling `help()`, like this:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "help(get_velocity)" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Help on function get_velocity in module __main__:\n", "\n", "get_velocity(strength, xs, ys, X, Y)\n", " Returns the velocity field generated by a source/sink.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the source/sink.\n", " xs, ys -- coordinates of the source/sink.\n", " X, Y -- mesh grid.\n", "\n" ] } ], "prompt_number": 6 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that the output of the function consists of two arrays: `u` and `v`. They are calculated inside the function, which is indicated by the indentation of the lines after the colon. The final line indicates with the `return` keyword that the arrays `u, v` are sent back to the statement that called the function.\n", "\n", "Similarly, we define another function to compute the stream-function of the singularity (source or sink) on the mesh grid, and call it `get_stream_function()`." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def get_stream_function(strength, xs, ys, X, Y):\n", " \"\"\"Returns the strem-function generated by a source/sink.\n", " \n", " Arguments\n", " ---------\n", " strength -- strength of the source/sink.\n", " xs, ys -- coordinates of the source/sink.\n", " X, Y -- mesh grid.\n", " \"\"\"\n", " psi = strength/(2*pi)*np.arctan2((Y-ys), (X-xs))\n", " \n", " return psi" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 7 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can compute the velocity field and the stream-function of a source flow using those two functions. In the rest of this notebook, adding another singularity to the flow such as a sink will be easy as pie!\n", "\n", "Let's use our brand new functions for the first time:" ] }, { "cell_type": "code", "collapsed": false, "input": [ "strength_source = 5.0 # strength of the source\n", "x_source, y_source = -1.0, 0.0 # location of the source\n", "\n", "# computes the velocity field\n", "u_source, v_source = get_velocity(strength_source, x_source, y_source, X, Y)\n", "\n", "# computes the stream-function\n", "psi_source = get_stream_function(strength_source, x_source, y_source, X, Y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 8 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's again use our superposition powers. The streamlines of the combination of a freestream and a source flow are:\n", "\n", "$$\\psi = \\psi_{freestream}+\\psi_{source} = U_\\infty y + \\frac{\\sigma}{2\\pi} \\arctan \\left(\\frac{y-y_\\text{source}}{x-x_\\text{source}}\\right)$$\n", "\n", "And since differentiation is linear, the velocity field induced by the new flow pattern is simply the sum of the freestream velocity field and the source velocity field:\n", "\n", "$$u = u_\\text{freestream} + u_\\text{source}$$\n", "$$v = v_\\text{freestream} + v_\\text{source}$$\n", "\n", "The stagnation points in the flow are points where the velocity is zero (stagnant fluid, get it?). To find their location, we solve the following equations:\n", "\n", "$$u = 0 , \\quad v = 0$$\n", "\n", "which leads to:\n", "\n", "$$x_\\text{stagnation} = x_\\text{source} - \\frac{\\sigma}{2\\pi U_\\infty}$$\n", "\n", "$$y_\\text{stagnation} = y_\\text{source}$$\n", "\n", "The streamline containing the stagnation point is called the *dividing streamline*. It seperates the fluid coming from the freestream and the fluid radiating from the source flow. On the streamline plot, we'll add a red curve to show the dividing streamline, and we'll use the [`contour()`](http://matplotlib.org/api/pyplot_api.html?highlight=contour#matplotlib.pyplot.contour) function for that. \n", "\n", "Pay careful attention to the detailed instructions we give our plotting library: we always want a *pretty* plot, so we specify color, linewidth, etc. You can learn about your options by looking at some [contour-plot demos](http://matplotlib.org/examples/pylab_examples/contour_demo.html).\n", "\n", "We will also draw a red circle to show the location of the stagnation point, using the [`scatter()`](http://matplotlib.org/api/pyplot_api.html?highlight=scatter#matplotlib.pyplot.scatter) function.\n", "\n", "But first, remember to include the `%matplotlib inline` command to configure the plotting library to give us the plots embedded in our notebook." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# superposition of the source on the freestream\n", "u = u_freestream + u_source\n", "v = v_freestream + v_source\n", "psi = psi_freestream + psi_source\n", "\n", "# plots the streamlines\n", "%matplotlib inline\n", "\n", "size = 10\n", "plt.figure(figsize=(size, (y_end-y_start)/(x_end-x_start)*size))\n", "plt.grid(True)\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_source, y_source, color='#CD2305', s=80, marker='o')\n", "\n", "# calculates the stagnation point\n", "x_stagnation = x_source - strength_source/(2*pi*u_inf)\n", "y_stagnation = y_source\n", "\n", "# adding the stagnation point to the figure\n", "plt.scatter(x_stagnation, y_stagnation, color='g', s=80, marker='o')\n", "\n", "# adds the dividing line to the figure\n", "plt.contour(X, Y, psi, \n", " levels=[-strength_source/2, +strength_source/2], \n", " colors='#CD2305', linewidths=2, linestyles='solid');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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8Zf+sLD65QJt2GhmJ+xwVBXD31VfmLYWSlIQxtn8/gODVq/r3uiPi3agbN2IO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joJqybk5lYNSNA9EiEQgwgg1tW1etUE3WAF3ebkVH989h6VPAFtj+DWWGF4YWHm\na9fgxzVqFExIrMRMhw5YGLOzwSY98wwUtimQde4cFtkhQ8DyCTfs6elgXM6fxzEtDf5iPj74/T59\nrJuE8d49XrnFxYExCQlBFKe1Sk/FxAC8xcUBIL36KtKImJvVXVcKC2Hi/PlnOPouWIDzWgo8NRpE\nyX77La5z6VKACkvOl5iI4Ic//wTb+O675vvP3bgBEHXiBNishQvFl5+qqEAuv+++g+KcNQu5z0yN\nTa0WfnJr1wLYv/IKAJapfH3R0fB9u3ABrMusWRhDhvouPh6Ab+dOzK0ZM9DXflYuLarVgmE/fhwt\nKgps6tNPo3XuLA4wVmZnUNYpKaUcO0fc7QvkVJZQ5f+cnQM17RNAzgMHk2P/IGraJ4AaOGKAnz0L\n9r5vX+vemzFh5tXYWD4NyO3bmIMtW2IN8/GpmgKkpvNdqQTrx4rHC1tSEszXMhnWTd3m6Vl/WDpd\n0Q1OYP5rwioK7G+dOmEuuLnpbwzYCX3XHlVS3fJyBH2tW4e1+O23YSq1tdVfOUEmw5orDFQQBigo\nFDhP//4AiaxCgr7m5gZwK0y426wZvl9fx4EYeQLa6tGtZWdjBxsZiYU/KgqDvl8/DNIuXYg2bgS1\nvGeP9cpC5edDeYaFER0+LCW5XELDhwPAjRyJxdZaLEVODl8lQS6Hwp06FU7y1qheoFLBz27LFpgR\nQ0IA4IYNq9kO7fRpKZWWSuinn6Ck5s5FszRqkUV4fvstlNyiRQBNljAUmZlE33+PAIhnngGLZ26+\nu8RE+D7u3g32bskScSlXpFIpDR0qoRMnACATE8GgzZkjLmAkKQms3ZYtYO3mzweoN6Zk5HIECWzZ\nggjSGTMA4AyVqmKgftcuMH2tW+M7zz1nvLi8pSKTEf34o5TS0iR0/DjG+IwZmMcjRogHLpWZaZR7\n/iIlHbtAmpvnyVlxv+p92diSXaee1GzgIEqyG0Rvrw6kJd9606xXH20UgVbLJxe/cQPM8J07RLGx\nUnJxkVQBcd26YV1zd6/5GqPVAkQmJ/PpQIQtJwe/M3IkPsvSf7Dm6Vk7ue1MiblmQGbSZAEIwkhT\n1ho2RN/n5QEMsdqfwtayJdZc5rvGghZatgRjaY01PzISgG3uXLjlmHNOff2i0WD+M4AnDFLQbY6O\nGHfChLssuS4Dc35+AIKsmgKrlqD7ulkzsOfChLvOzvhbXTN/T0BbDW5NJkN0oNA8YO1M3dnZfI3A\nqCg4oyuVYDnGjYOyHzDAerXmpFIpdekiobNnASpOnwZwDAmBeZDVJ7SGyOVgeEJDcfT3B4CbMsU6\nzuc5OWBZtmyB/8msWWiWKGrhAhIbC+bt8mWwmAsWwPxmqVy7BsATFwdmZuFCy8BgQQFMln/+ieta\ntgxAwRzJzYX/3fr1UG7vvWf8HLoLa0wMSn4dPoyIy4ULoZxNSXk5rnv9ejDBs2fD387Us3rwAGzf\ntm0wrcyaBYBkaAOg0YBh3r8fANXXF76X06aZX6TemLB+4Ti4RZw5gzF++TKAyujRaIMGiXe6VxXk\nUf6lS5R87BKVX79MTvnXqAGpq3ymiGtNJa0DKPClAHLqO5Ca9OxHDZo+AmcpPXLmjJQ6dZI8BHF3\n7mANOH2aD0Lo0qVqqqXOna23tlVW8hGiLJ+bsGVlAbB4eYEptbUFkGNpQDw98X9T67tajXVy2TIc\nTUlt+25pNFgbWPUE1goKMN+ZD5uwcRwP5nr0QN8ZqpjAXru4WJfRq61+4TiMNwbi9DVh1QSZDM80\nJ6d60t3ycgBcJyfM5ZSU6pUS2GsnJ/Rpo0ZVqyboNlNltJ6AthrcmlyOEjtC04CujwcLQKhJ4EFF\nBUxff/8N6jggAA9ercaAunYNiSMDA/G/wECWzNLy3xRKUhJyxR05giCDtm2xGI0dCwbLGokqy8tx\nf6GhYOK6doXJLzi45iV6OA7A98ABgIKBA+EbNXFizXbWRUVgt37+Gf4mCxcCdFrqdsSKwf/+Oxiz\nJUvEAR5dkcvh9P/99wAl771nfrktuRxln777DmNr8WL44IkdU9nZ6Ov162Ginz0bUcVivn/zJqJ5\nd+3CeH7jDUQlG+tXrRbM6tatYFocHQHeQkIMm8hVKoCpffuIDh6ECY0BOB8fcfe5cyd226NGiTPF\nK5XwRTx1Ci0uDoC+tikAACAASURBVABh0iRsvvz9xZtutOVlJL9+lZL/vkIFl8LJPjWCHNQFVT7D\n2dhSI5/u1KzfAGraawA16dWPHHy7PzLfOENSXFy1nBU7xsfzmwZ9Ja2sWRhdrQZwS0nB+H3wAK4j\nLCVIWhp8+zw8sCYNGIBn5eHBR5G2awcWKywM+Q0HDcKctoYVoS6lrMxwYIKwscCETp1wzyzKVF9z\nd4euEFZNYM1azF5di0YDAKhbPcHQ0c4OY0lYUUG3yoJajT5p3JivjsDaoEFEH3/8BLRZ7XwcV7XM\ny+3beAh//YWJzIovswLMpkpVpaRgt9e2LRR5374AgLp0rEqF3fyVK0ikefUqJpK/P6L0goIAVKzh\npKvRAACdPAmQdf06BtK4cVDKulF0lkhlJZSpVArl7ecH1ubZZ2ueRLW8HMBw40bs9GfOBKNTEz8n\njQaAdvVqKJk33wTQsDSfUEEBTApr10IxLFtmXvUGJioVzIH/+x/A0rJlMAma48+hUoGVWrUKIHXR\nIrBZYhztiQBSDh4EgMzJQUSu2FJiZWUAVL/9Bp+lRYsAwowVqifCnDt8GKDvwgWwlzNmYHwaAukq\nFfxAWWm1vn3R5yEhfDJTfbJ1K4DblSuYY8HB+D2xLgVFRRjnN25gXKamAuRKJPDP6tvX9CYgIgJ9\nc+sWR8H+D2ikxxVyzomklsWR1Fx2qxobxzVqTA5d+5BTn37UpGdfatK9LzXu6PdIIlVNCTN56itn\n9eABFFmnTnAfadGCL2Xl48OqDVj3ekpLwQSnpYGtevCgagRpejo20qyMVVkZzMQ+PvBf9fbmU4HU\n1N+2volGAzOkbtUEFoig1fLVE3QbAyos6rRZM8NBCcIyWSzx7qNOEWNNUSr5agi6JbGaNSMaOvQJ\naKvyt9BQ7LJYAt22bWsOQljgAYu8YqH0rGbd6NGg3/v1w2+yRfrIETBC27eLo9mFkpcHU8zFi2g3\nb0L5BAVBKQwZot/h3FxKuqQEAIuZnGxsoLjGj4f/Tk2BYmUldnB79qA/+vQBgJs6teZJFuPjwZRt\n3Qon+HfeAeOh75rF9suNGzBRsuTDCxYApFsi5eV49qtXY3zMni3O0V9XOA4O8v/7H8DJs88CqJqj\nNDgO4+n77wFu5sxB8EBCgvjxEhUF/zVWSuytt8AyiZlfcXG8+bRDBwQvPP+86fJX+fkAYrt2waw9\ndSoSDA8bZrgf1WqwYaGh8L20sQF4CwnB/NH3PYUCz/z4cfhUVlRIacoUCU2ciO+IZYTy8zGXpFL0\nc1IS+mjECJxHmDybSVYWgEFgYHXWW1tRTqWx1yn1dCTlhV8lSogmZ50AByIizq4JOXTtTU69/KlJ\nd39y6N6HHDp1syojZ21zF8dVZcTu3KlazooFJLB6pF27AiyxklbWrqnMpKICQHrLFqRAYlh46FC+\nuHtGBgAloiil5O0teZgKRPfYosXjyUKZIywatbCQr6Jw+bKU3N0leisoODuDqGD+bA0aVK+e0K0b\nD3SYXxpr+t6bMkvWF3liHtW5tQMH4Hty9y4WAaUSAI6BOD8/DAZrVEDIz4eSj48HsIqOxk67Rw8s\nzv36YWH6+GOY3t57z/JBVV4OBu7SJfyWWo2Fbvhwflffpk3NFlaOg3I9ehTt2jUsVOPHQ0l7e1t2\n7UxYkt09e3CcNg3X/cwzNdu1suCFXbtgspo+HUxZr178Z8ztl7w8METr1oEJWLAASt8SMkOtBmBd\ntQqL/aJFAHCW3PPVqzB5njqFc8yfb76PX0ICUnBs3kzUvbuUvvhCIirlBxNWSmzdOoCMt94CABOj\nRNVqsLzbtoHpHTcOAG7sWNPzMTUVgHHnTrDYkycDwEokhtks5pPGop+TkjCWJ0+GyVkXjG3YAGB9\n9KiUCgokFBuL0li9e+Pzo0eDkROLhQoKwBbGxGCM3rmDjQvbeA0ZAj8Zc0RdXEjyGzGUciaaCqOi\nqUHKNXKqSKn2Oa6hHdn5dCPnXn3IoWsvcvDrRQ5de1FDZ8vQTl3n3WKVAxiIKyzEhpkFKjRoULUu\nqbc3wB0raWVpxYPQUDDK06cjCMrfv/pnOA6b9sxMouPHpeTmJqmS/kOYFqSsDBvsDh0w3oQlrXRT\ngbi4PB7AQ4yIHS8cB/2mWz2hrAw6VhicwIIShMEKd+/itVbLBx7otjZtsL4IgxD0HVmrTe+DJ6DN\nxK0VFOChMhB39y7Yn4sX4STLchOxo7e3cUp+926YEw0BGLkcCwvLTh4dDSWp0WBCvv02FgNf35pR\n/xoN2DepFO3CBZisJBIexNXUFFlUBMXKEu56ekJxhYQAkNbk+ktLAWR27QIj8dRTSOdgzAQmRlJT\n+TJU7doh6um558SbA3WFmRdXr8YC/c475hVI15UrVwDezp7FeRYssCwwJDkZAQdbt6LPFi82v6af\nTAbw9PPPAF9i8q4JRavFs1u/HkBs0iQwy2IBYGEhAPy2bViomRm0f3/T309KgnLdtw9MTUgIANzI\nkcbHT3o6TK/Xr2MuDxiA3w0Oxmbu888xJo8f5/3iysqwWQoLQ0tKAtPHQJyfX/Xr3bsXm0TdsmoK\nBVicS5fQrlzBPB0yhE/X4+dn/txSF+aT/OY1Sjl3nQqjr1HDtOvkKH+g97M2bl7k1LMnNfHrSQ6d\ne5CDX0+y9+pUo2oOe/aAQezcGax3bUdxsvJQunVJ5XJsNlNTAQSEdUl165N6eOgf61ot1ldrKe6K\nCh7EsWhR3cZSgvj64rWhdCCssXQglq5r/0ZRKqsHILCmUGCNYf8Xfo699vEBLpDLeYDHAhBY69gR\n48pQsILua9aEPn9PQJuFt6ZQsDB2Pk9RbCwUSdeuWES9vcHW9O7Np+f49VcwZ1u2YKE3JFlZqN94\n+jSUfY8eGFQODlhQioqgMAICsHMfOLBmpaM0GjAKDMQlJ+P3WJSbRFKzYAqNBuHfjLGQyRAIEBIC\nRVkTn4SCAii5XbvA9E2dCuU9dKjlwFCtBuP666+YiG+9BaVuqamTCCzX6tV4ptOm4ZyWBBoQgTlY\nvRrAISQEfnSW5OgqKQFAXb0a35850/y6n1otQPmaNQARr76K6zFWskpX8vORZ2/jRvT9a6+BQROb\nM+7ePTz/XbvwfsYMbG7E+CqmpvIArrwc4CskBGDWGJtZWgrwfOwYmlaLOc1xGONHj+qPvM3Lwxg4\ndQpK+OpVfrMkkQC4HDyIDcPmzQgAMSRs3l66BOf9o0fRl2xtYM0SR3iNQk5ld25SxsXrlHv1Jqke\n3CTHolhqxFVU+yzX0J7sOviRU/ce1Lhzd3L4pzVq60k2IhD411/z95Caytf91I0odXevuxQLCkX1\nuqSpqejfe/cA4Js0AYhj9UiFr9u1Q7NmsIQpKS/H9emmABHWJ23eHGtaXh6+wwCcsHl58eWthKlA\nWrR4vHOc1YVwHIC2MAiBtYoK6G7dAARhIIJMhufIwKJCge81bQqr1R9/PAFtVj1nSQmAw61bfObw\nmzeBllkQgp0dfHvmzMHOXJ/JLCkJDM3w4aDXdT/DFvuICICh4mLstAYP5lvPnuZPMEZJazRgE5hy\nCQ8Hk2hJqgJ9cv8+D+Bu38Y5p0zBoKwJOExJgfP9+fMA0axKginndWOSnk701VdSOnJEQh4eMH08\n95zlUbOZmQCD69cD1C9cCLbGEmVUVASgs2YNQNKiRWCszDXDqtUImFm5EibYt98GcDKVa03XhJGY\nCLNnaCgA09y5AB1ixyHHAfht3Ijx//LLAPXGkujqfj8qCmD2jz+wkZk+HX5sYqKQMzLApB06BB++\nIUP4UlXG0tBwHFj4o0fhYnHjhpTKyyUUEIA+HTTI8PNNTgb4k0pxVKkA3ry8sLl79104sYs1e+Xl\nYU2IiEBfRkbiOQ4eDGDevz/WFEvM65xaTRXJ8VQQfZPSL9+i0ju3qWHmbXKqSNX/+cZO1LiTHzn6\ndaNoTSMaNWESNe7oR3bu7cnGQIdUVmIc6UaSymR4zaogCJuvL4BSXebM4jgAJFaLlNUqZS0vD/dh\na8vXI2VAjr0eORJj5VGVayot5VOAsLqkeXkYgw8eVE8HUlTEp67w9MQaaCwNiKsr7tUSoPekjBUv\nGg0Ye7WaqEWLJ6Ct1n+H4wAmGIiLiMDr9HQoomeegWmDRYdaAoa0WixorHzU5cs4/4ABPIgLDDRt\nljM0USoqqqYquHMHACsgAIxEly6W+1Lk5oLV2rcPiisoCGzZpEmWBxtwHPp4xw6wL15eAAAvvGBZ\nUmKpVEpBQUiWun49nuGLLwKUdOtm2TUqlXCuX70aoHv+fLBUluzMVSqAhR9+AHhfsAA+a5acKyoK\nIPDwYYDT+fOrm+mYGBov5eV4nuvXY+y/9hpMn+akb5HJcE+bN2Mj9MILYALFmD+J+Jxsu3ZhLpSU\ngOGcOlVcTjaZDOPy0CEwab6+YFvHjcOGSPcaXn0VfebgQOThAT8lZmYrKICCHjMGzZB7BMcBxEml\n+M2zZ/FdZ2dsFqZNgwnUHNMbWxuiozGHo6KwqfTyQl+y1qeP5YFDGnkJld2Po+yI25QTHUcV8bHU\nOC+OmqhyH34mqlxL/R2Aqji7JmTfoTM17eJHjTv6UWOfLtS4Yxey9+pEtvaGazQpFHAXiY+vGkUa\nHw8rR2AgGAkWQcpahw6mTYF79wLkfv659cyGrNJBRgZfk1T4+ttviTIzHx9wwupYMxBnKAWI8HVY\nmGXR+U9Am355Yh6tw1s7dgwFw1NTwSwNHQowZGMDVigmBgtQly4AcIMHQ1n27m1ZrbnCQixCDMRV\nVoKGZTVHhw613KRaVIRouZMnodhsbADennoKyslStkwuRz+FhsIfrm9fMHDPPGN5Ul+1GkBz+3ac\nWyIBgBg71nLfmeRksEGbN4O1ePFFgAFLADfHQZn+9BMWuNmzcX2WsoNXrqCwe1gY2NzXXxdX3UBX\ncnLgWL9+PZT6rFkA0ubumm/dwnl27wZz9fbb2KSYc57ERKS92b4dz2zmTLCoHh7ivl9ZCdZ43z6A\nMB8f83KyqVQAgBcv4hqUSrB/wcF8jrYbN2CG1OcLmp6OMRgWhqOTExjIQYMwHoVm4O3biZYvh7IP\nCoIJPSOD34gkJcEdgqXzCQgwH5yrVFhzhIm7Y2OxEXNwwJhmNZEt9b8kQkLgsvtxlBUZR3nX71Jl\nwh2yy79LTSuz9X6es7Eh29be5OjbmRp37EyNO3Qm+w6+1Njblxq1aWeQnSMCa5SYiP4RRpEmJGC+\nNmuGZ92vH14LAxDat8f3Fy7EM964EetYXUpxMa7r3xJI8ERqR56Atjq8tYQEKMKBAw0rrPJyKLmY\nGNDtx47BNNCtG1gz1ixJnqtS4bznz/MKyM2tKoizJMKTmYZOnOCzvvv7g5UYNgwmQEsWIpZwd/9+\nMJRNmuCc06aJV9a6IpMBEJ4+DcD5wgsAI337WnaNKhWczn/+GebkWbMQeWoJSCKCcl+/HpGnffqA\n5QoOtszsk5oKM/zGjRhzCxaA5TH3XJWVCPr44QcovzfeABA0t2pFaSkcztkYeeUVsFPm9BVLPbJt\nG8Zv27Z4hlOniiubRYRnJpUCwB04APZv1iyALzH51TgOzBVL7xEebl6ONq2Wr5Jw9iyCgNzdeZ+2\njh2xSTMUUFBUhN9k6Xzs7cFWBwYCBAYGwv/L3OesVILRjInhayLfuAFmuk+fqkCuffuagQt1SRGV\nP7hL2dH3KO/6XSqLv0sNcu6TU1ki2ZJW73c4Owdq5NmRHDv5kr13J7L36vTPsSM1cmtr1HdOq4Wf\nMKuEkJjIBx8kJwMUu7lh/WvUCGDW2xvs/PjxuN/adNovK8MGWqXC0d0dY1tfa9MG5klz1//kZKIV\nK4g+/VT8+llcTPTll1X92oStefO6q2uq1WLMrV2rP3ebi4t1kvRyHNbJ6dOxLtS39IWPFWhbunQp\n/fXXX2RnZ0cdO3akLVu2UDM9lM6JEydo0aJFpNFo6PXXX6f33ntP7/nqW+1RQ1JWhgX06lW0yEgs\nQP7+MNX4+WGxNleJarXwJ2MgrqiI6NYtKQUHS2jkSOSGsoTdKivjc03t3QulHxwMZmHUKMtMMEol\nlNyff4Ip6dYNprtp0ywveZWUxJdAatoUE/TFF/Wzj2Ko+gcP4Ku2dSuezbx5uGdLosgqKnCva9aA\nMX37bTBwluSWKi+HiXDNGpz3nXcAmCzxabp5E0Dwjz+Yb6OU/vMfidkL5e3b8NfasQMg57XXALzM\nUYzl5QBOu3cD3A8bhoV20iT4kIoRtRqgKSwMTJ69PZ+TbfBgcQs2y9F27BhAT0oKUY8eUnrlFQmN\nGmXaHM/8R5lP28WLUKrPPou5HRRkfB4qlQBXV67wraiIr44SGIiNniVuAVotNpsMxF27hvkcHQ0T\ncc+e2JSx18YYPzFzSKtUkjI1gWT34ikzOp5K4u6TNjOeGuXHU1OBqVVXOLsmZOfpQ018fMi+fUey\nb+9D9u19yM6zA9m38zKZb46lQDp0CJvEq1exsW7enA/+atIEJmUWRdq1K/7Pgg/c3S2b68J+KS3l\nU33oa0olXFOKivA8WcoPlvajTRtcm4sLXzze1RX3olIBtP38M9H774NVNHW9xcXYQAorIwgbYwe7\ndAHY0fVnE7ZWrXBdLVpgnptaM3THy4AB2DBotVjHhLnbWP42tRq/0b8/fPOEedt0j6zGqm7etkaN\nwDwvWgRd9sMP8C2vL/JYgbawsDAaNWoU2dra0vvvv09ERN98802Vz2g0GurSpQudOnWK2rVrRwMG\nDKDdu3dTVz1heo8LaNMnRUVYOK9dQ9qEK1cwAAcN4lufPuaZ6ziO6IMPfqT27Rc9rEjg6koPAZxE\nYn4UGseBKfzrLzhpR0XxudsmTLCs3iNLuLt3L3yIevTAjnjSJPHRhkLRaqG4t24F8zJyJKIPJ03i\nzac//vgjLVq0SNT5KirA5q1fD4U3fz5MeZaU4+I4+M+tWQNQwPI/CXPImXOuixdhhj19GtGrL75o\nWQSrTAbA9cUXP5KLyyJ65x1cl7nAoLISY2PzZjBoM2agDRpk3o5ZJoPC3b0bUYhPP40+Hz1avGsB\nx2E+sQCZjAyM0ZAQ7LzFAErGOn/44Y+kUi2i8+eh0Jgv2+DBpuekWg2AFBkJNvjiRSiToCDMnaAg\n/WlChJKTwwciMB/aZs2gzAYMwLFfP8vzG+bngy28eZM/xsVBEfbqhd/o0AHBS35+AD7mzCF9opGX\nUEXyAyq4dZ9ybiaQ4v4D0mQ+oMbFidREnW/we5yNLdm6tacmHTpQY09vsvP0JnvPDmTv0YHsPLyo\nYcvWRGTzMJ8a830VAmUWdJCSwkeRlpRg88GCEHJzeQd9BuS6dkW/CwMQdMejJf2iVgOUsFQf2dn8\na7YZZ4Xki4oALhmIc3DAGC0uxrN65x38nUWOmpPrTaPB+fPyqvqz6fNxc3XFeCwsxPf0lbrq2BHn\nbd6c6MqVH2nGjEUPKyDY2sL/d88eZGB4883qoFOp5JPz6uZt0z2yBL26+dvs7Hgg5+CAsW1ri3XA\nw4P/n74mzNlWW2lrHivQJpQDBw5Qa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"text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "What does this look like to you? Drawing attention to the dividing streamline like that makes us imagine a flow coming from the left and turning around to avoid an obstacle, an object that has a curved shape, like the leading edge of an airfoil, perhaps?\n", "\n", "If we ignore the flow *inside* the dividing streamline, we can consider that a solid body. In fact, this body has a name: it is called a *Rankine half body*." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge question" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the maximum *width* of the Rankine half body?\n", "\n", "**Hint**: Use mass conservation, and think about the flow when $x$ is very large." ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Source-sink pair in a uniform flow" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What do you think will happen if we add a sink to our flow pattern? Let's find out! Now we can enjoy the usefulness of our two functions `getVelocity()` and `getStreamfunction()` to create a sink without too much extra coding." ] }, { "cell_type": "code", "collapsed": false, "input": [ "strength_sink = -5.0 # strength of the sink\n", "x_sink, y_sink = 1.0, 0.0 # location of the sink\n", "\n", "# computes the velocity field on the mesh grid\n", "u_sink, v_sink = get_velocity(strength_sink, x_sink, y_sink, X, Y)\n", "\n", "# computes the stream-function on the grid mesh\n", "psi_sink = get_stream_function(strength_sink, x_sink, y_sink, X, Y)" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 10 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The superposition of the freestream, the source and the sink is just a simple addition. Look how we are adding all the elements of our two-dimensional arrays, all at the same time. Very pleasant." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# superposition of a source and a sink on the freestream\n", "u = u_freestream + u_source + u_sink\n", "v = v_freestream + v_source + v_sink\n", "psi = psi_freestream + psi_source + psi_sink\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_source, x_sink], [y_source, y_sink], color='#CD2305', s=80, marker='o')\n", "plt.contour(X, Y, psi, levels=[0.], colors='#CD2305', linewidths=2, linestyles='solid');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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kqsKyMqRyTJhgXmAwcaLzro+BCueknTuH68jKwj5atAhAxZnAnlvp8F5ubIQ3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\nGYC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zZ9KyZctILpcXSERQKpWk1+upZMmSpFAoqEuXLjRv3jzqYqKOwuvmtOl0AjIXJx2I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\nNTQ0sK1btzLGGJswYQJ75ZVXWHZ2N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"text": [ "" ] } ], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks *very* interesting. It seems like a flow that was going around an egg, doesn't it? In fact, we can can look at the elliptical closed streamline as a solid surface and imagine that this is the flow around an egg-shaped object. It is called a *Rankine oval*.\n", "\n", "Now you can play around with the strengths of the source and sink, and see how the flow pattern changes. Be sure to also write your own version of the code separately into a Python script, and run it with different parameters." ] }, { "cell_type": "heading", "level": 5, "metadata": {}, "source": [ "Challenge question" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "What is the length and width of the Rankine oval?" ] }, { "cell_type": "heading", "level": 3, "metadata": {}, "source": [ "Bernoulli's equation and the pressure coefficient" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A very useful measurement of a flow around a body is the *coefficient of pressure* $C_p$. To evaluate the pressure coefficient, we apply *Bernoulli's equation* for an imcompressible flow:\n", "\n", "$$p_\\infty + \\frac{1}{2}\\rho V_\\infty^2 = p + \\frac{1}{2}\\rho V^2$$\n", "\n", "Do you remember the conditions that apply to this equation? For starters, we can only use it *along* a streamline. Very important.\n", "\n", "We define the pressure coefficient in the following way:\n", "\n", "$$C_p = \\frac{p-p_\\infty}{\\frac{1}{2}\\rho V_\\infty^2}$$\n", "\n", "i.e.,\n", "\n", "$$C_p = 1 - \\left(\\frac{V}{V_\\infty}\\right)^2$$\n", "\n", "Note that in an incompressible flow, $C_p=1$ at a stagnation point.\n", "\n", "We are now going to plot the pressure coefficient throughout the flow field. Think about this for a moment. Where is the pressure maximum? Why?" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# computes the pressure coefficient field\n", "cp = 1.0 - (u**2+v**2)/u_inf**2\n", "\n", "# plots the pressure coefficient field\n", "size = 10\n", "plt.figure(figsize=(1.1*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", "contf = plt.contourf(X, Y, cp, levels=np.linspace(-2.0, 1.0, 100), extend='both')\n", "cbar = plt.colorbar(contf)\n", "cbar.set_label('$C_p$', fontsize=16)\n", "cbar.set_ticks([-2.0, -1.0, 0.0, 1.0])\n", "plt.scatter([x_source, x_sink], [y_source, y_sink], color='#CD2305', s=80, marker='o')\n", "plt.contour(X, Y, psi, levels=[0.], colors='#CD2305', linewidths=2, linestyles='solid');" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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fM2MDmBHbgWnRvZga24vOSDDl8MfMKPaPT8Le8SnYPTYNA2OzsXNsFrYXerFj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9vJ291EnyzqRBvVzRPbnQSgktDh5PbJqK6eW3i2WNm94OL6qehEnZP4Q9NW4Hdsr7QxF5Ir9iB5\ngq/KqS7hB8l0/2TKdUAKM+iYDApRhXc93D4d6vw+Ic6ClHKRizjrEjwE6jZP108kesgCTi7t4lTm\nRSf41DCvmPunCwmrAs+UbtzzMjIQSNip6PrmJPbk9qaCT37fRPTJ5xmiac9gQsfg6fPdPq8wrywO\nncRemJU9VFxr+unwCvmCs1iMyv1TjylTLuNukoWejBV9iaP6hJ8gqe6fTFIHpKgGnDCCD8wEh0cW\nr4rfMG9UyPP8TOYAClEoBEIu0UO+YQph0a35ucPhPZO/qduqHzp0CSFueIlCFa8+q+d2EntqWyfB\np27ThXbF726iUN4HCkK8bm5fHGFetVyLF17hXlfXLy7xB+Ef7it93C0WSRd8GZydaB17vZuUC9Ur\n/CD57p+K04Uf18AU50ATh+jzEeKV3b44w7xhkZ0+cXMXorCxoYd0T7bveSFfOcRrKv6Q9mlS2jiJ\nPHmbPDfQywV0E4JBHUS374ouWuwl9iD/b2Pi8qm/+wr/5od4B7vj7Pa5JW/EmdihE4hGrp9byBei\nFX8Q3fheSeNuMUjG0GlxobqFn6DcBKBKOQ0UpoNC1KIviJiIEdnVU8VdWhMKVh1BIM/1ywv5yvP9\nnMSfoAMzty9olq8fIefXGVRxmw7oNSXAr+CTj6mbsxcg/Ku6fbJ4c3L73ELAueP6HNjUIs5qgofn\n/k6un4pOvPkVf2jaq8Q1vpfTuFsMylHw+Vke3I87mHCs8JMpdwGYVPwMCD7m6Bnvo+Dk9unCvCar\nbZjitXqHU7jXTRjSAOmehvyQrzrfzyusq4o/k9Cv6vDJ8wrd/mROQlCXJRwEN5HpV+w5tXFz+Zze\nV9vkbR8M8aoJHSZun1sIOAwmtfzcijlr8Qr5mu4nY3oMO77HRzmKvirGCj8ddoCIBr+DQZD5fLp9\nQrp9ujBvXIWb3RI8Cts6CEM15KvO95OTO0yFnYwqCGWcBKDYr9mhrUzQ8K4buvPoBGkQwad7z4/o\ny3vPOcQrCCrsdPP14ij5IpDDvcauH5jN9wNv8YfDfip2fI8OK/jKEiv83LADRDCiFHwQqejz4/bp\nMK3Z51bCRc7s1bV3Cvfq2qqJHl0dLYXz/dRMX534U91BN7FnUvrFSwQKwiwZ54WX0ENz7qCCT/xs\n6gZCTvTJWbwmbp/p9jjxmwiSh9dcPwgm/tz20yFfgnaMN6dSxF4Gf/M09UuGlyU1pe5AWdBI5XzZ\n46KRYH+nKEVfxLiFZYOUcvGLfGMVTo18g8/bPiAYZNco5yZ5JRzofpff17XVHbOZQeHUKr3kdmqx\n4maPlxsm++rOq/bNaR+nz6n7W/kRfVIyhy6L18ntG/zY5tsFUdXw07nTTolQ8oNVQekkkzJMpiWc\nTPdzw47x3ti/UcVgHT8/2CfEQoIOBCaDs9/wX0C3L07UUiwyujl/uvamrp825CuSPUydPx26bfJ7\n6nG9wrtuawKLYwhM9bXb8UzCvrq5d07vqy6fbptXCBjy5vUNdiv7s87N86rPF2cY1xTfNf1kTJM9\nwMz5w2FfN+wYn0+lCz0/CRva9cLLEyv8glLNA0TYwSCs6PPjDhggh3n9lnEJs1ybwE3Y6ZI8dHP9\nHEO+buJPh1PoV7dNfg/NsXXhXbd5fgKvMLIbbt8DN7EH3oJPft8ru1fX1iGZA/QhXlM3zy3M6zej\n1wk10xf8h3sL5vqZhHwhuPgT++Kwvxd2jLdUKFb4RUGlDxBRDQKm4iwK0efi9vklisQOk2Xb3NoY\ni8MB189I/Hll86oCT3UGnQSguk1sz36QfIRuiDp07+QUuok9dbtjoWVlu5sI1Ii+XBcV0ecm6nRu\nn5swLObybJCf3euU5KHFNMvXTfxB8DmDplT6GA9W7FURVvhFjXrxlOsgEfUgEJfoMziGKvpMwrxR\nlnGRESJNl+AhEI6eTgjqXL/B/fJDvpGIPzRtcdiOZptuu2iT7XS86NxD3XfMj+CT27glgDiIPnle\nn0AVbKZunyAJYV4TPDN8wb/4g/jdPxk7xlcOFRS+9YNN7oibRuWVRNQ+RtlPeRK9G/JEeqfj+Hnf\nED9h3ijCuiriRu92U3drI274ahs12SMnNnQJH/K/XskMakKD2K5LhNBt17VxSvzwg9ex1PO79VP9\nfG5tcNknb1u+6NOFeAVqIo9O1OmSfeJANz/VrwOuPmh5JnpAsOvddE6w6ZhkSrWP8Zaywzp+xcbp\ngivGU2MxL3Y/A2vQLL0AId5iJXUExc3Rc2qjhnx1yR55mDh/4O7+QaEDiNIO8sWX2kZGdmvCzPFz\nOr7Tcd1CvUESPrTb3EWfW3h2UOD5D+E2KA8FcYhFp3l+oZI8vAjr/JkcJwxu42zc47wVdD7xswBv\n5dRzSYzwu//++7n66qt59dVX+cMf/sAHPvABbbspU6YwdOhQamtrqa+vZ82aNUXuaUxUygXr90k6\nRtHnhWntvlLiKOoM5gwKCkK+4C7+wF8ih7rmry7UC4XCS87e9ZvBbYKTgPQK9ZokfRgnfPgTfX7E\nmeoIlmp+n8BtFQ91rp9RokdQYWY670+cg4DnCUKljPOWsiYxwm/GjBksW7aMiy++2LVdKpVi1apV\njBgxokg9sxgRJHQSpejT4Mftk8O88vw+07BWXHMCvTB1/XyJP/B2+pzeB3cRKPZR26l0uGyTMXEH\nTR1Av1m+bgkfEFr0OQm6qObzJW5eoB/xZyIK/bp/GBzTYqkAEiP8pk2bZtw2k6nSGZlJJA7BF+S4\ncThGEaOKM5Hg4eTmeYo6nyFfY/EH+aFfyL+JmiZ44PCeV6hX3c8PXt8DL7GnHiNIli/4mtNXLuhK\nurihhns9XT8niiX+xDExOK6lAsgAu3209/NFSjZll9yRSqU46aSTmDNnDrfffnupu1O9BJ0gHVb0\nGYZ4vdy+MGHeYqzaERaTZA9twoduzpousUFu47RNTbBwS+JQE0CCvmTckj28kj+CJH3kjq0XfTJh\n3b5Sh3llJ1x2u/3WwSzAaXwI4/4HeSiMOgHEYkkQRXX85s+fT3t7e8H7S5YsYdGiRUbHePrppxk/\nfjzbtm1j/vz5TJs2jXnz5kXdVYsTYQbDOERfBIS+WaFfhUPglqjhRFjXL//8eucPNCt8gLP7J372\nU8YFTRs07+PQxgQTd9B0vp9puNdlPh/oRV8U8/pMURM7SoVXkofW9Qvi0pk4f/g8rji2wLqAlgqh\nqMJv5cqVoY8xfvx4AEaPHs3ixYtZs2aNo/C7+ieDPx93BBw3M/Tpq5e4BZ/XOXys2xmmWHOp5urp\nVuAwxUsk5rX1K/5AP/dPtAF9CFjermsjowq9sFm9bvt7JXbo2hhl+gYTfTpM3T4/uIVodWWC/IZ1\nTfEs6OyGm8AzTQTxKyrVc2B4Hosjq16AVX8qdS8Eu3y0rZxQb2Lm+Mk4zeHr7Oykr6+PtrY29uzZ\nw6OPPsq//uu/Oh7n6r+Pq4dVQhQOW5FFn46gYV5ZgAWp4eeWeWtSyFng5fq5nVvX1lP8weC8P4in\nhEuU5Vu8ME3u8HL/YhB9XqFbN5KSzavilt2rw5frF5X4w+H4JlgBGIrjZuabMNfcW7q+VCuJmeO3\nbNkyJk+ezOrVq1m4cCELFiwAYMuWLSxcuBCA9vZ25s2bx6xZs5g7dy6nnXYaJ598cim7XZlENb8l\nCtHnkzBuX1LIzcszuHmqbZs1okJXAFqd8wfKihKSmNHO3VN/Fu1M5vqpbXXz84LgNe/Pq7iz2k73\ne958v3TefD4T0Sdj4uAFcfvcRFfcBZ91qA9axrU0/c73E9uiWCXIhFbsXMCyJkN2zUjTV/kmZqkk\nxvFbvHgxixcvLnh/woQJPPzwwwAccMABrFu3rthdqw6iHLz8DKhe543Z7Ytifp8fTFxAk/21YVyX\n4s9ezh+Qy/gF3N0/KAz/CpxcQLWd3FYQdWZ22JCv63y/QpcPvEWfW0kWPw6eyUNBMR1Ap0LOphhn\n+Aq83L1ihH7V8wmsE2iOFc0lITGOXyzYpzF34nhiLaHoK1e3z82hcXN63JZy0y335eb8gQ/3T81w\nNc2WNcm6DRL2NT2OqSPp5ghKLh/oRV9jQ4+x6HNblk1gMj+vFGFet7monssfhnX9TPDj/EX50GGd\nQHfs36fkJMbxixX1C1atT2RxXmh+B86gos8BnejzuzxbnIkdbi6cvr33/D1de3mbLtPXzfkD9PP+\nIN/9g0KnxKuIs8Btrp96rDD4reene69AqJq7fBBM9LkJORORqMPNXTShi+bcuYMmfZgs4ebo+gWZ\n7+enjdd5wmCdwCyJFHkZ/CV3JGMObRRUh/BTqaaLMe4LLmiNrKDbQzyZlzrMa0LQEK6uvdN7JuIP\nNKFfKMz8FThl9srvqe+rx9DhdCP2+z1wEpNeBZwh3/EkuOiT0Tm4bvMAdeja+0mqKDW6DN/IQ76m\nbQRhEz+8+iFTyfeeRAo9i6A6hZ9MJV2Mxb7YEiL6onD7VPyWVJHxKsmiE2a67N6grp+8XRaLTuIP\nyNX5A/y7f2CW2au+r9uuElTou7mGxjX9nAUf+Bd9bgk4pkJRJwR17UsR+g07z88VNzcuavEnzofL\nOaPA3nsSgJ/vq03uqFx0X+AkXpClvNDiEHwWI3RCTnb9dGLRS/yp+7mFfgF/AhC8kzriLufidg5t\nkkcwwQfBRJ+M1z6685hS7IxetayLSbgXAoR8IR7x53XOqHEaI5N2/7FjedljhZ8JXl/0OC7MpF5c\ncYq+iNw+HV61+9zm9wWp4Sdwy+IFfajWK3wbJOQbVvwB3gIQ3MPAAi8hGBYvIelY189c8IGzywd6\nAZe3r2Zen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"text": [ "" ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "---" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "##Final words\n", "\n", "Study this notebook and try things out here. But at the same time, start writing your own version of the code on a Python editor\u2014and *type* the code instead of copying and pasting, so that you take time to think about what the code means.\n", "\n", "In the third lesson of *AeroPython*, you will create a [*doublet*](http://nbviewer.ipython.org/github/barbagroup/AeroPython/blob/master/lessons/03_Lesson03_doublet.ipynb). Go for it!\n" ] }, { "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": 13, "text": [ "" ] } ], "prompt_number": 13 } ], "metadata": {} } ] }