# HW_C5_1 - Homework Set#5 Due date by 11:00 am Problem#1 A...

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Homework Set #5: Due date: 10/20/06, by 11:00 am. Problem #1 : A fluid with viscosity 18.3 cp and density 1.32 g/cm3 is flowing in a long horizontal tube of radius 1.05 in (2.67 cm). For what pressure gradient will the flow become turbulent? Problem #2: Water is flowing through a long, straight, level run of smooth 6.00 in inner diameter pipe, at temperature 68 0 F. The pressure gradient along the length of the pipe is 1 psi/mile. (a) Determine the wall shear stress τ 0 in Pa? (b) Assume the flow to be turbulent and determine the radial distance from the pipe wall at which , using Fig. 5.5-3 in the textbook (second edition), also available in the lecture note. Pay attention at the definition of dimensionless variables. (c) Plot the complete velocity profile, versus r/R. (d) Is the assumption of turbulent flow justified? Problem #3: For turbulent flow in a smooth circular tube, the function is sometime useful curve fitting purposes: near Re = 4 10 3 , n = 6; near Re = 1.1 10 5 , n = 7; and

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HW_C5_1 - Homework Set#5 Due date by 11:00 am Problem#1 A...

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