Consider the steady, incompressible, parallel, laminar flow of a viscous fluid falling between two infinite vertical walls. The distance between the walls is h, and gravity acts in the negative z-direction (downward). There is no pressure driving this flow- pressure is constant everywhere in the flow field, and the fluid falls by gravity forces alone. Determine an equation for the vertical component of the flow, w. Fixed wall Fixed wall Fluid: Note: The origin is located halfway between each fixed wall, i.e. the walls are located at x= -h/2 and h/2. This makes the algebra a little simpler. This is a 2D flow is in the x-z plane.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Consider the steady, incompressible, parallel, laminar flow of a viscous fluid falling
between two infinite vertical walls. The distance between the walls is h, and gravity
acts in the negative z-direction (downward). There is no pressure driving this flow-
pressure is constant everywhere in the flow field, and the fluid falls by gravity forces
alone. Determine an equation for the vertical component of the flow, w.
Fixed
wall
Fixed
wall
Fluid:
Note:
P.H
The origin is located halfway between each fixed wall, i.e. the walls are
located at x = -h/2 and h/2. This makes the algebra a little simpler.
This is a 2D flow is in the x-z plane.
Transcribed Image Text:Consider the steady, incompressible, parallel, laminar flow of a viscous fluid falling between two infinite vertical walls. The distance between the walls is h, and gravity acts in the negative z-direction (downward). There is no pressure driving this flow- pressure is constant everywhere in the flow field, and the fluid falls by gravity forces alone. Determine an equation for the vertical component of the flow, w. Fixed wall Fixed wall Fluid: Note: P.H The origin is located halfway between each fixed wall, i.e. the walls are located at x = -h/2 and h/2. This makes the algebra a little simpler. This is a 2D flow is in the x-z plane.
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