The $u$-component of a $2D$ water flow is given by $u=7x^2+2y^2$.
Is it possible to draw streamlines based on only this?
Asked
Active
Viewed 200 times
0
-
$7x^2+2y^2=c$ where $c$ is a constant represents an ellipse $E_c$... and all these ellipses are homothetical. – Jean Marie Nov 05 '17 at 21:18
-
@JeanMarie Is there any way to find the $v$-component(if any)? – Bernhard Listing Nov 05 '17 at 22:15
-
1Yes, by using the Milne-Thomson method (https://en.wikipedia.org/wiki/Milne-Thomson_method_for_finding_a_holomorphic_function) – Jean Marie Nov 06 '17 at 07:44
-
@JeanMarie Thanks. – Bernhard Listing Nov 08 '17 at 15:10