EGM6812_F10_HW5Q

# EGM6812_F10_HW5Q - EGM 6812 Fluid Mechanics 1 Fall 2010 5th...

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EGM 6812 Fluid Mechanics 1 - Fall 2010 5 th Homework Problem 1 Given: For high-speed, oscillatory, compressible flow past a finite length cylinder, the drag force, D F , is known to be a function of cylinder diameter, D , cylinder length, L , cylinder roughness, e , free stream flow velocity, V , fluid density, the fluid speed of sound, c , fluid viscosity , and the cylinder vortex shedding frequency, . The functional form of the drag is ( , , ) DD FF D L e V c      Find: a) Use dimensional analysis to determine the relevant non-dimensional -groups that will isolate the effects of drag forces, unsteady inertial forces, viscous forces, cylinder roughness, cylinder length, and compressibility in this flow. Problem 2: Given: In fully developed turbulent pipe flow, the pressure drop, P , is known to be a function of pipe diameter, D , pipe length, L , pipe roughness, e , average flow velocity, V , fluid density, , and the fluid viscosity . The functional form of the pressure drop is P= P(D , L , e , V , ,  Find: a) Use dimensional analysis to determine the relevant non-dimensional -groups that will isolate the effects of pressure-drop, viscous forces, pipe roughness, and pipe length in this flow. ,,, Vc  D Le

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EGM 6812 Fluid Mechanics 1 - Fall 2010 Problem 3: Given: A slowly oscillating, viscous flow in between two infinite parallel plates separated by a vertical distance h
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## This note was uploaded on 01/17/2012 for the course EGM 6812 taught by Professor Renweimei during the Fall '09 term at University of Florida.

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EGM6812_F10_HW5Q - EGM 6812 Fluid Mechanics 1 Fall 2010 5th...

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