A viscous, incompressible steady fluid flows between two infinite, vertical, parallel plates distance h apart, as shown in Figure 3. Use the given coordinates system and assume that the flow is laminar, fully developed (= 0), and planar (w = 0,= 0). Assume that pressure and gravity are not negligible. (a) Simplify the contnuity equation and show that v = 0. (b) Using the y-momentum equation show that pressure is a function of x only. (c) Find the velocity distribution u(y) in terms of u, g, h, p and d (d) Find the wall shear stress of the flow.

Elements Of Electromagnetics
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Figure 3: Fluid flows between two infinite plates
A viscous, incompressible steady fluid flows between two infinite, vertical, parallel plates
distance h apart, as shown in Figure 3. Use the given coordinates system and assume
that the flow is laminar, fully developed (30), and planar (w = 0,0). Assume that
pressure and gravity are not negligible.
(a) Simplify the contnuity equation and show that v = 0.
(b) Using the y-momentum equation show that pressure is a function
of a only.
(c) Find the velocity distribution u(y) in terms of u, g, h, p and d
(d) Find the wall shear stress of the flow.
Transcribed Image Text:g Figure 3: Fluid flows between two infinite plates A viscous, incompressible steady fluid flows between two infinite, vertical, parallel plates distance h apart, as shown in Figure 3. Use the given coordinates system and assume that the flow is laminar, fully developed (30), and planar (w = 0,0). Assume that pressure and gravity are not negligible. (a) Simplify the contnuity equation and show that v = 0. (b) Using the y-momentum equation show that pressure is a function of a only. (c) Find the velocity distribution u(y) in terms of u, g, h, p and d (d) Find the wall shear stress of the flow.
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