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

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

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Properties of Fluids

The term fluid represents a type of substance that can easily change its shape under any external pressure/force and can flow. Fluids can acquire any shape in which it is stored and can resist normal stresses but cannot resist shear stress in rest condition. Whenever external shear stress is applied to fluids, it starts to flow. The fluids may be liquid or gas. Example- water, air, etc.

Question

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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

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