book: transport phenomena 2nd edition
author:byron bird
page111 ex: 3c.3
deformation of a fluid line in couette flow
Prolem Detail:
A fluid is contained in the annular space between two cylinders
of radial Kr and r. The inner cylinder is made to rotate angular
velocity of Wi. Consider a line of fluid paricles in the plane
z=0 extending from the inner cylinder to the outer cylinder and
initially located at O(sita) = 0, normal to the two surface. How
does this fluid deform into a curve O(sita) (r,t), what is the
length l of the curve after N revolutions of the inner cylinder?
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