Fluid Dynamics Homework: Solving for Velocity Components at Stagnation Point"

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SUMMARY

The discussion focuses on solving for the velocity components at the stagnation point in fluid dynamics. The stagnation point is identified at y = 0, where both velocity components, u and v, equal zero. The user initially struggled with too many variables when attempting to equate the velocity magnitude to zero. Ultimately, they successfully derived the solution independently, indicating a solid understanding of the underlying principles.

PREREQUISITES
  • Understanding of fluid dynamics principles
  • Familiarity with velocity components in fluid flow
  • Knowledge of stream functions in fluid mechanics
  • Ability to manipulate equations involving multiple variables
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  • Research the derivation of the stream function in fluid dynamics
  • Learn about the Navier-Stokes equations and their applications
  • Study the concept of stagnation points in various flow scenarios
  • Explore computational fluid dynamics (CFD) tools for simulating fluid flow
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Homework Statement


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Homework Equations


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The Attempt at a Solution


I tried a few different things, they all involve finding u and v components of velocity. I know the stagnation point is at y = 0. I also know that at stagnation u = v = 0.

If I get the velocity magnitude and set it equal to 0 and set y equal to 0, I still have too many variables to solve for anything.
 
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What is your equation for the overall stream function? What are your equations for the components of the velocity (which are very easy to obtain without using the stream function)?
 
I did manage to figure it out on my own last night. Thanks for the reply.
 

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