Easy Fluid Problem: Find Stream Function & Pressure

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To find the stream function and velocity components from potential flow, the stream function Psi is given as 2axy. The next step involves calculating the velocity field from Psi, which can then be used to determine the pressure distribution. The pressure can be derived using Bernoulli's principle, and by plugging the velocity field into the Navier-Stokes equations, the pressure gradient can be obtained. This process highlights the relationship between stream function, velocity, and pressure in fluid dynamics. Understanding these connections is crucial for solving fluid mechanics problems effectively.
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Homework Statement



a. Given potential flow, find stream function and velocity components.
b. Compute pressure along the x-axis and plot it.

Homework Equations



Psi = 2axy

The Attempt at a Solution



So, I got the psi from phi (above) but i don't understand how I am to go from stream function Psi to the pressure distrobution...
 
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From the stream function you can calcualte the velocity field.
You can guess that it is possible to get the pressure, just think to Bernouilli.
Anyway, plug the velocity field into the Navier-Stokes equations and you will get the pressure (gradient).
 
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