A Newtonian fluid flows in an annular space created by a concentric pipe of radius R. and a rod of radius R, as shown in Figure Q1(b). The rod is moving at a constant velocity V, while the pipe is stationary. The flow is steady, laminar and incompressible and there is no forced pressure gradient driving the flow. Assuming the velocity components in the radial and tangential directions are zero and ignoring the effects of gravity, derive an expression for the velocity field in the annular space.

Elements Of Electromagnetics
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b)
A Newtonian fluid flows in an annular space created by a concentric pipe of radius R,
and a rod of radius R;, as shown in Figure Q1(b). The rod is moving at a constant
velocity V, while the pipe is stationary. The flow is steady, laminar and incompressible
and there is no forced pressure gradient driving the flow. Assuming the velocity
components in the radial and tangential directions are zero and ignoring the effects of
gravity, derive an expression for the velocity field in the annular space.
R.
R:
Figure Q1(b)
Transcribed Image Text:b) A Newtonian fluid flows in an annular space created by a concentric pipe of radius R, and a rod of radius R;, as shown in Figure Q1(b). The rod is moving at a constant velocity V, while the pipe is stationary. The flow is steady, laminar and incompressible and there is no forced pressure gradient driving the flow. Assuming the velocity components in the radial and tangential directions are zero and ignoring the effects of gravity, derive an expression for the velocity field in the annular space. R. R: Figure Q1(b)
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