====== Differences ====== This shows you the differences between two versions of the page.
Both sides previous revision Previous revision | |||
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 |
||
---|---|---|---|
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. |