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

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 gibson:teaching:spring-2018:math445:lecture:cylinderflow [2018/04/10 06:50]gibson gibson:teaching:spring-2018:math445:lecture:cylinderflow [2018/04/10 06:52] (current)gibson Both sides previous revision Previous revision 2018/04/10 06:52 gibson 2018/04/10 06:50 gibson 2018/04/03 06:36 gibson 2018/04/03 06:36 gibson 2018/04/02 11:38 gibson created 2018/04/10 06:52 gibson 2018/04/10 06:50 gibson 2018/04/03 06:36 gibson 2018/04/03 06:36 gibson 2018/04/02 11:38 gibson created Line 9: Line 9: \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 $x,​y$. ​ 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. ​