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Unformatted text preview: p / d x , where x is along the axis of the tubes. Show that the velocity profile at any radius r is u ( r ) = 1 4 d p d x b r 2-a 2-b 2-a 2 ln( b / a ) ln r a B where a is the radius of the inner tube and b is the radius of the outer tube. Find the radius at which the maximum velocity is reached, the volume rate of flow, and the stress distribution. b a u ( r ) Problem 3 A long vertical cylinder of radius b rotates with angular velocity concentrically outside a smaller stationary cylinder of radius a . The annular space is filled with fluid of viscosity . Show that the steady state velocity distribution is u = r 2-a 2 b 2-a 2 b 2 r . Show that the torque exerted on either cylinder, per unit length, equals 4 a 2 b 2 / ( b 2-a 2 ). b a u ( r )...
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This note was uploaded on 01/26/2012 for the course MUS 130 taught by Professor Lee during the Fall '08 term at University of Illinois, Urbana Champaign.
- Fall '08