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# hw1 - Home Work due Aug 10th at the beginning of class no...

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Home Work: due Aug. 10 th at the beginning of class – no late HW accepted 1 (a) What is the likelihood that a flow with of water in an industrial quality pipe of diameter 0.010 m to be laminar or turbulent, when the average velocity is 1 m/s and the kinematic viscosity is 10 -6 m 2 /s? (b) Is it possible for this flow to be different than what you answered in a? 2 Please compare the velocity profile (sketch), the wall shear stress ( τ w = μ du/dy wall ), and the pressure drop per unit length for laminar and turbulent flow at the same Re number. 3 A given pipe first carries water and then air at 15 o C and atmospheric pressure. What is the ration of the mass discharge rates, if the friction factor, f, were the same for both flows. f = (dp/dx)D/( ½ ρ U avg 2 ). Hint for a give pipe there is a unique friction factor/Reynolds number relationship. So if the friction factor is the same for both flows, so is the Re number. μ air = 1.8 x 10 -5 N-s/m 2 ; μ water = 1.155 x 10 -3 N-s/m 2 4 Given: A 100 meter high tree with veins of radius 20 x 10 -6

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hw1 - Home Work due Aug 10th at the beginning of class no...

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