Problem 6: The top wall moves with velocity Vtop = 1" and the bottom wall is m S stationary. Inside there is a layer of water and a layer of oil on top. Both layers have the same thickness and the total thickness is h=2m. The flow is incompressible, laminar and steady and both fluids are Newtonian. The viscosity of water is Hw =[10-3)Pa s and the density is Pw = 103 . The viscosity of oil is u, = 10-1 Pas and the density is po = kg m 3 kg 700. m3 There is no pressure gradient./The width is w = 5m. ) Veop h=2m water

Elements Of Electromagnetics
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Problem 6: The top wall moves with velocity Vtop
= 1
S
and the bottom wall is
stationary. Inside there is a layer of water and a layer of oil on top. Both layers have the
same thickness and the total thickness is h=2m. The flow is incompressible, laminar and
steady and both fluids are Newtonian. The viscosity of water is uw =|10-3)Pa s and the
density is Pw
103 Kg. The viscosity of oil is He
10-1 Pas and the density is Po
3°
kg
tit
700-
{There is no pressure gradient./The width is w= 5m.
m3
Veap
h=2m
water
Transcribed Image Text:m Problem 6: The top wall moves with velocity Vtop = 1 S and the bottom wall is stationary. Inside there is a layer of water and a layer of oil on top. Both layers have the same thickness and the total thickness is h=2m. The flow is incompressible, laminar and steady and both fluids are Newtonian. The viscosity of water is uw =|10-3)Pa s and the density is Pw 103 Kg. The viscosity of oil is He 10-1 Pas and the density is Po 3° kg tit 700- {There is no pressure gradient./The width is w= 5m. m3 Veap h=2m water
d) Apply continuity of velocity and stress at the interface between liquids.
e) Plot the velocity profile across the gap between the walls.
f) Plot the stress across the gap between the walls.
Transcribed Image Text:d) Apply continuity of velocity and stress at the interface between liquids. e) Plot the velocity profile across the gap between the walls. f) Plot the stress across the gap between the walls.
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