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kingjames
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Plotting Stream lines! (Fluid Mechanics)
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 …).
i found the equations of stream functions for both cases:
Case of a flow over a vertical plate: ψ4 + ψ2 U2∞(x2-y2+a2) = U4∞x2y2
Case of a flow over an inclined plate ψ=(-1)/√2 q0 c sinhζ (cos η-sin η)
IF u can help me with codes to plot these functions using MATLAB or excel or any other program!
Homework Statement
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 …).
Homework 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) = U4∞x2y2
Case of a flow over an inclined plate ψ=(-1)/√2 q0 c sinhζ (cos η-sin η)
The Attempt at a Solution
IF u can help me with codes to plot these functions using MATLAB or excel or any other program!