Water flows down between two vertical infinite parallel plates. The distance between the plates is 25 cm. The two plates are moving downward at a constant speed U = 5 m/s. At the same time, a third plate with a thickness, b, located midway between the other two plates, is moving upward at a constant speed U2 = 10 m/s. The flow is assumed steady, incompressible and laminar. Using the Navier-Stokes equations, compute: a) The value of b for which the volumetric flow rate (per unit length) between the two parallel plates vanishes. b) The maximum shear stress, if b = 23 cm.

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Water flows down between two vertical infinite parallel plates. The distance between the plates
is 25 cm. The two plates are moving downward at a constant speed U, = 5 m/s. At the same
time, a third plate with a thickness, b, located midway between the other two plates, is moving
upward at a constant speed U, = 10 m/s. The flow is assumed steady, incompressible and
laminar. Using the Navier-Stokes equations, compute:
%3D
a) The value of b for which the volumetric flow rate (per unit length) between the two
parallel plates vanishes.
b) The maximum shear stress, if b = 23 cm.
%3D
Transcribed Image Text:Water flows down between two vertical infinite parallel plates. The distance between the plates is 25 cm. The two plates are moving downward at a constant speed U, = 5 m/s. At the same time, a third plate with a thickness, b, located midway between the other two plates, is moving upward at a constant speed U, = 10 m/s. The flow is assumed steady, incompressible and laminar. Using the Navier-Stokes equations, compute: %3D a) The value of b for which the volumetric flow rate (per unit length) between the two parallel plates vanishes. b) The maximum shear stress, if b = 23 cm. %3D
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