# Plotting Stream lines (Fluid Mechanics)

1. Apr 19, 2010

### kingjames

Plotting Stream lines!! (Fluid Mechanics)

1. The problem statement, all variables and given/known data

In this project you are required to investigate two types of potential flow solution:
a. Flow over a vertical plate (flow is perpendicular to the plate i.e.  = 90)
b. Flow over an inclined plate ( = 135).

You are required to do the following:
1. Find the expression of the stream function for these types of flow.
2. Derive the expression for the velocity profile.
3. Sketch the streamlines for different values of the stream function using your favorite computer software (Matlab, Excel …).

2. Relevant equations
i found the equations of stream functions for both cases:

Case of a flow over a vertical plate: ψ4 + ψ2 U2(x2-y2+a2) = U4x2y2

Case of a flow over an inclined plate ψ=(-1)/√2 q0 c sinhζ (cos η-sin η)

3. The attempt at a solution

IF u can help me with codes to plot these functions using matlab or excel or any other program!!
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution