## Related questions with answers

Question

Consider a uniform stream of magnitude $V$ inclined at angle $\alpha$. Assuming incompressible planar irrotational flow, find the velocity potential function and the stream function. Show all your work.

Solution

VerifiedAnswered 1 year ago

Answered 1 year ago

Step 1

1 of 7We are going to find the velocity potential function and the stream function of magnitude V inclined at angle $\alpha$. The flow is incompressible, planar and irrotational.

Starting with determining the stream function by using components of the speed, $\textbf{u}$:

$\begin{align*} u &= \frac{\partial \psi}{\partial y} \\\\ \frac{\partial \psi}{\partial y} &= V \cos\alpha \\\\ \xrightarrow[]{} \text{Integrating with respect to y}\\\\ \psi &= V y \cos\alpha + f(x) \end{align*}$

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## More related questions

- physical science
- physical science
- physical science
- physical science

1/4

- physical science
- physical science
- physical science
- physical science

1/7