Deformation of a fluid line (Fig. 3C.3). A fluid is contained in the annular space between two cylinders of radii KR and R. The inner cylinder is made to rotate with a constant angular velocity of ?_r,. Consider a line of fluid particles in the plane z = 0 extending from the inner cylinder to the outer cylinder and initially located at ? = 0, normal to the two surfaces. How does this fluid line deform into a curve ?(r, t)? What is the length, l, of the curve after N revolutions of the inner cylinder? Use Eq. 3.6-32. ??

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Fixed outer cylinder y Fluid curve att > 0 X Fluid line at t=0 Inner cylinder rotating with angular velocity 2;