HW_5 - Homework Set #5: Due date: 10/29/07, by 11:00 am....

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Homework Set #5: Due date: 10/29/07, by 11:00 am. Problem #1: Solve Problem 3B.1 in Chapter 3 of BSL. Problem #2 : The annular space between two coaxial long circular pipes is filled with a viscous, Newtonian fluid. The radii of the inner and outer wetted surfaces are κ R and R, respectively. The inner pipe is rotating with an angular velocity of . Determine the velocity profile of the fluid and the torque required to keep the inner pipe rotating, using the equations of motion and continuity. For simplicity it is assumed that there is no flow in the axial direction of the pipes. Problem #3: a) Derive a dimensionless partial differential equation of motion describing unsteady-state flow of an incompressible fluid in a circular pipe, based on the following dimensionless variables max / = / z uuu r r R = ±± where u max and R are the maximum velocity of the fluid at steady state and radius of the pipe, respectively. b) The solution of the dimensionless equation of motion obtained in (a) is given graphically in the figure below. Consider a heavy oil, with a kinematic viscosity of 3.45 10
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This note was uploaded on 04/17/2008 for the course PGE 322K taught by Professor Dicarlo during the Fall '08 term at University of Texas at Austin.

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HW_5 - Homework Set #5: Due date: 10/29/07, by 11:00 am....

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