# Sphere velocity in liquid-fluid mechanics

1. May 15, 2010

### omri3012

1. The problem statement, all variables and given/known data
a rigid sphere of radius R and density $$\rho$$1 mooving (linearly) inside a liquid
of densiity $$\rho$$0 and viscosity constant $$\mu$$
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 $$\rho$$1, can i ignored it?
since the density in N-S equations is the liquid density.

Thankes,
Omri