1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Fluid Dynamics Problem

  1. May 8, 2008 #1
    1. The problem statement, all variables and given/known data
    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?
    2. Relevant equations

    3. The attempt at a solution
    Last edited: May 8, 2008
  2. jcsd
  3. May 9, 2008 #2
    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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook