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gibson:teaching:spring-2018:math445:lecture:cylinderflow

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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
Line 8: Line 8:
    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