Question

For the following velocity field: V = (u,v)=(1 -0.5x)i+ (-1.5 - 2y), find out if there astagnation point. If so, calculate its location in coordinates.r and y (20 pts)

Answer 1

`\overrightarrow{r}=2\widehat{i}-0.75\widehat{j}`

Explanation:

Stagnation point is point of zero velocity thus each component of the velocity must also be zero

`Given\\u=(1-0.5x)`

`\therefore` u=0 at x=2m

Similarly

`\\v=(-1.5-2y)\\\\\therefore v=0 \\\\y=(1.5)/(-2)\\\\y=-0.75`

Thus point of stagnation is (2,-0.75)

Thus it's position vector is given by

`\overrightarrow{r}=2\widehat{i}-0.75\widehat{j}`