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Sphere velocity in liquid-fluid mechanics

  1. May 15, 2010 #1
    1. The problem statement, all variables and given/known data
    a rigid sphere of radius R and density [tex]\rho[/tex]1 mooving (linearly) inside a liquid
    of densiity [tex]\rho[/tex]0 and viscosity constant [tex]\mu[/tex]
    the liquid is in hydrostatic equilibrium under gravitational field g.
    what is the velocity of the sphere after a very long time assuming Raynolds constant is
    very small?

    2. Relevant equations
    N-S equations


    3. The attempt at a solution
    my only problem is how should i deal with the sphere density [tex]\rho[/tex]1, can i ignored it?
    since the density in N-S equations is the liquid density.

    Thankes,
    Omri
     
  2. jcsd
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