gibson:teaching:spring-2018:math445:lecture:cylinderflow
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| Both sides previous revision Previous revision Next revision | Previous revision | ||
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gibson:teaching:spring-2018:math445:lecture:cylinderflow [2018/04/03 06:36] gibson |
gibson:teaching:spring-2018:math445:lecture:cylinderflow [2018/04/10 06:52] gibson |
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| p &= 2 \frac{a^2}{r^2} \cos 2 \theta - \frac{a^4}{r^4} | p &= 2 \frac{a^2}{r^2} \cos 2 \theta - \frac{a^4}{r^4} | ||
| \end{eqnarray*} | \end{eqnarray*} | ||
| + | where $v_0$ is the speed of the incoming fluid, $a$ is the radius of the cylinder centered at the origin, and $r,\theta$ are the polar coordinates of point $x,y$. | ||
| + | These functions are valid only for points outside the cylinder $(r>a)$. | ||
| The following Matlab code plots the velocity as a quiver plot and the pressure with contours. | The following Matlab code plots the velocity as a quiver plot and the pressure with contours. | ||
gibson/teaching/spring-2018/math445/lecture/cylinderflow.txt ยท Last modified: 2018/04/10 06:52 by gibson
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