Next set of PDE, which presents fluid flow

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Discussion Overview

The discussion revolves around solving a set of partial differential equations (PDEs) related to fluid flow, specifically in the context of creeping flow. Participants are seeking hints and guidance on how to approach these equations, which resemble the Navier-Stokes equations.

Discussion Character

  • Homework-related
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant presents a set of PDEs for fluid flow and requests hints for solving them.
  • Another participant suggests that the equations resemble the Navier-Stokes equations and questions the absence of gravity in the formulation.
  • A different participant confirms that the equations pertain to creeping flow and inquires about a general solution procedure for solving them.
  • Another participant references a textbook for potential guidance but cautions that relying on external sources may distort learning and encourages independent work.

Areas of Agreement / Disagreement

Participants express differing views on the completeness of the presented equations, with some suggesting that additional factors, such as gravity, may need to be considered. The discussion does not reach a consensus on the best approach to solving the PDEs.

Contextual Notes

There are unresolved assumptions regarding the physical context of the fluid flow, such as the role of gravity and the specific conditions under which the equations apply. The discussion also reflects uncertainty about the completeness of the equations provided.

jangolobow
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Hallo,

I must solve next set of PDE, which presents fluid flow.

dP/dx=d/dx(mi*dv/dx)+d/dy(mi*dv/dy)
dP/dy=d/dx(mi*du/dx)+d/dy(mi*du/dy)

where mi=const

with BC: v=v at x=0
u=u at y=0

Can you give me some hint?

thanks

j.
 
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This looks similar to Navier stokes equations. u is velocity in x, and v is in y. and in steady state. somethings missing to what you got there. wheres gravity? I think you can write those easier
 


Yes they are for creeping flow. Is it possible to get a general solution porcedure for solving them?
thanks jg
 


Been awile since I was in school. Should be in the text
http://www.mhhe.com/engcs/mech/white/
In two dimensions, should be easy. You should do your own work as this site could be very unreliable or make your learning distorted
 

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