Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary as illustrated in figure below. The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity field is given by: V = (u, v) = V +07 h Is this flow rotational or irrotational? If it is rotational, calculate the vorticity component in the z- direction. Do fluid particles in this flow rotate clockwise or counterclockwise? u = v

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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Consider fully developed Couette flow-flow between two infinite parallel plates separated by
distance h, with the top plate moving and the bottom plate stationary as illustrated in figure
below. The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity field
is given by:
V = (u, v) = V
+07
h
Is this flow rotational or irrotational? If it is rotational, calculate the vorticity component in the z-
direction. Do fluid particles in this flow rotate clockwise or counterclockwise?
u = v
Transcribed Image Text:Consider fully developed Couette flow-flow between two infinite parallel plates separated by distance h, with the top plate moving and the bottom plate stationary as illustrated in figure below. The flow is steady, incompressible, and two-dimensional in the xy-plane. The velocity field is given by: V = (u, v) = V +07 h Is this flow rotational or irrotational? If it is rotational, calculate the vorticity component in the z- direction. Do fluid particles in this flow rotate clockwise or counterclockwise? u = v
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