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ChE 222 HW8-Spring 2011

# ChE 222 HW8-Spring 2011 - Middle East Technical University...

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Middle East Technical University Department of Chemical Engineering ChE 222 – Fluid Mechanics A pril 21, 2011 Homework VIII (Due April 28, 2011) 1. Water is flowing horizontally through a long straight smooth 15 cm ID pipe at a temperature of 20°C. The pressure gradient along the length of the pipe is 4.28 Pa/m. a) Determine the wall shear stress in Pa b) Assuming the flow to be turbulent, determine the radial distances from the pipe wall at which V/V max = 0.0, 0.1, 0.2, 0.4, 0.7, 0.86 and 1.0. c) Plot the complete velocity profile, V/V max versus y=R-r d) Is the assumption of the turbulent flow, justified? e) What is the volume rate of flow? f) Determine the friction factor. 2. The figure below represents an elevated tank connected to a pipeline. The system contains water at 80°C. What must be the height of the water surface in the tank to produce a discharge of 0.568 m 3 /min. The water is discharged into the atmosphere. 1

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3. In the manufacture of paper pulp, the cellulose fibers of wood chips are freed from
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ChE 222 HW8-Spring 2011 - Middle East Technical University...

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