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A long cylinder of radius Ris displaced along its axis with a constant velocity u 0 inside a stationary coaxialcylinder of radius R 2 . The space between the cylinders is filled with a viscous liquid. Find the velocity of the liquid as a function of the distance r from the axis of the cylinders.The flow is laminar.

A long cylinder of radius Ris displaced along its axis with a constant velocity u0 inside a stationary coaxialcylinder of radius R2. The space between the cylinders is filled with a viscous liquid. Find the velocity of the liquid as a function of the distance r from the axis of the cylinders.The flow is laminar.

Grade:12

1 Answers

Mallikarjun Maram
50 Points
6 years ago
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Since the flow is laminar, the viscous force acting between the liquid layers is given by

substituting v = 0 when r = R2, we get

    eq (1)

We also know that v = uo when r = R1

     eq (2)

dividing eq(1) by eq(2), we get

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