Transient ow between parallel planes (double points)
Fluid is at rest in a long channel with rigid walls
t = 0.
velocity U (y, t)i
y = a
when a pressure gradient
is suddenly imposed at
a) Show that the
1. Dimensioless Euler's equation
The Euler equation for incompressible ow in a rotating system was given in the form
v + 2 v = p
in the lectures. Write this in a dimensionless form.
1. Plane Couette ow
Consider uid between parallel planes. The wall at y = 0 is xed, and the wall at y = a
moves with steady speed V in its own plane. Solve the Navier-Stokes equations for the
case = constant t