Thursday, July 2, 2009

Irodov Problem 1.332

Let us assume that the shearing force pushing the inner cylinder is F acting in the direction of the axis. Suppose the length of the cylinder is l. The shearing stress at this inner cylinder is given by . At a distance of r from the axis the shear stress will be

From the basic law of viscosity we can determine the gradient of fluid velocity at a distance r as ,

We know that the velocity of the fluid at surface of the outer cylinder is 0, in other words v(R2)=0, hence from (2) we have,

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