HW2 - ⎥ ⎦ ⎤ ⎢ ⎣ − − − − = ∞ 2 1...

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AAE 334, Fall 2011, Homework 2 Due Friday, August 26 at the beginning of class. Matlab review or introduction. Example 4.6 in the text is one example which we will take a close look at in a week. For now, we will prepare a plot to review or learn use of Matlab and to aid us when we study the example. Create an m-file to: 1. compute and plot the camber line shape given in Example 4.6 versus chordwise position in meters. Chord is 2 meters. I suggest that you use 401 points along the chord including leading edge and trailing edge. For example, define a vector of non- dimensional chordwise points: xnondim = 0:0.0025:1; Then, when you need, for example, 3 c x you would write: xnondim.^3 and note that the .^3 operator is very different from ^3 Note that with 401 points the break point in the camber equation, 2025 . 0 = c x , is the 82 nd point in the xnondim vector. 2. Compute and plot what we will see to be one important quantity along the chord, the “vortex sheet strength”:
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Unformatted text preview: ( ) ( ) ( ) ( ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − + − + − − = ∞ ) / 2 1 arccos( 2 sin ) / 2 1 arccos( sin ) / 2 1 arccos( sin / 1 2 2 2 1 c x A c x A c x c x A V x γ ) Example 4.6 solves for two important constants: A 1 = 0.0954, and A 2 = 0.0792. Anderson nearly solves for a third important constant, A 0 = 0.0413. Be aware that the vortex sheet strength is infinite at the leading edge, so don’t try to compute the first point in the vector but assign it to be not a number, or NaN in Matlab lingo, as in vortex(1) = NaN; To do this plotting, plot the “vortex sheet strength” versus x on the same plot as you made for #1 above. 3. Use the legend command to label “camber line” and “vortex sheet strength”. 4. Label the x-axis appropriately. 5. use the title command to put your name on the top of the plot. 6. turn on the grid with grid on Hand in a hard copy of your m-file and a hard copy of your plot....
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This note was uploaded on 02/21/2012 for the course AAE 334 taught by Professor Collicott during the Fall '09 term at Purdue.

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