Easy Fluid Problem: Find Stream Function & Pressure

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SUMMARY

The discussion focuses on solving a fluid dynamics problem involving potential flow, specifically finding the stream function and velocity components, and computing pressure along the x-axis. The stream function, Psi, is defined as Psi = 2axy. To derive the pressure distribution from the stream function, users are advised to calculate the velocity field and apply the Navier-Stokes equations, leveraging Bernoulli's principle for pressure calculations. This approach provides a systematic method for transitioning from stream function to pressure analysis.

PREREQUISITES
  • Understanding of potential flow theory
  • Familiarity with stream functions and velocity components
  • Knowledge of Bernoulli's equation
  • Basic principles of the Navier-Stokes equations
NEXT STEPS
  • Study the derivation of velocity fields from stream functions
  • Learn how to apply Bernoulli's equation in fluid dynamics
  • Explore the Navier-Stokes equations in detail
  • Investigate pressure distribution calculations in potential flow scenarios
USEFUL FOR

Students and professionals in fluid dynamics, mechanical engineers, and anyone involved in computational fluid dynamics or related fields seeking to deepen their understanding of pressure calculations from stream functions.

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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 calculate 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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