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Fluid Dynamics Problem

  • Thread starter nicorette
  • Start date
  • #1
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Homework Statement


I have an incompressible, irrotational fluid with velocity v in the form:

v_x = c_xx x + c_xy y + c_xz z
v_y = c_yx x + c_yy y + c_yz z
v_z = c_zx x + c_zy y + c_zz z

The coefficients c_xx, c_xy, etc. are constants.

How can I determine how many independent coefficients I need to specify the velocity uniquely?

Homework Equations





The Attempt at a Solution

 
Last edited:

Answers and Replies

  • #2
4
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I've used div(v)=0 and curl(v)=0 to come up with a few relationships between the various coefficients. What other conditions can I use to find relationships?
 

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