A layer of viscous liquid (0 ≤ y ≤h) flows in parrallel with a layer of viscous gas chey ≤ H) in a plane channel clue to a given pressure gradient, Similarly to the poi seuille flow. The flow is clescribed by the Navier- stokes equations in liquid (i = 1) and gas (i=2) 1=1,2 (1) d'y = 1/ 2 1 dp Mi an, The solutions are subject to the following boundary conditions at the channel walls and the interface 4=0 u20 YEH U -0, C2) 4 =h U₁₁ = U₂₁, M₁ du. = M₂ duz (3) 1 dy dy (1) Explain what do the boundary Concklioms (2) and (3) mean (2) find solutions of Eqn (₁) subject to the boundary Conditions (2) and (3) (3) Calculate the volumetric flow rate of liquid in the channel

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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A layer of viscous liquid (0≤ y ≤h) flows in
parrallel with a layer of viscous gas chcy ≤ H)
in a plane channel clue to a given pressure gradient,
Similarly to the poiseuille flow.
The flow is clescribed by the Navier-Stokes equations
(i=2)
in liquid (i = 1) and
gas
1=1,2 (1)
2
d'u
dy'
=
1 dp
Mi an,
The solutions are subject to the following boundary conditions
at the channel walls and the interface
4=0
u, 20, YEt th=0, C2)
y = h
U₁ = U₂₁ M₁ du. = M₂ duz (3)
Игл
dy
1
dy
(1) Explain what do the boundary Concktions (2) and (3) mean
(a) find solutions of Eqn (i) subject to the boundary Conditions
(2) and (3)
(3) Calculate the volumetric flow rate of liquid in the channel
Transcribed Image Text:A layer of viscous liquid (0≤ y ≤h) flows in parrallel with a layer of viscous gas chcy ≤ H) in a plane channel clue to a given pressure gradient, Similarly to the poiseuille flow. The flow is clescribed by the Navier-Stokes equations (i=2) in liquid (i = 1) and gas 1=1,2 (1) 2 d'u dy' = 1 dp Mi an, The solutions are subject to the following boundary conditions at the channel walls and the interface 4=0 u, 20, YEt th=0, C2) y = h U₁ = U₂₁ M₁ du. = M₂ duz (3) Игл dy 1 dy (1) Explain what do the boundary Concktions (2) and (3) mean (a) find solutions of Eqn (i) subject to the boundary Conditions (2) and (3) (3) Calculate the volumetric flow rate of liquid in the channel
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