Homework5

# Homework5 - MAE 101A:Introductory Fluid Mechanics Homework...

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MAE 101A:Introductory Fluid Mechanics Homework 5 Due Monday March 1, 5:00 PM Problem 1 Air enters a duct, of diameter D = 25 mm, through a well-rounded inlet with uniform speed, U 1 = 0 . 870 m s . At a downstream section where L = 2 . 25 m, the fully developed velocity proﬁle is u ( r ) U c = 1 - ( r R ) 2 The pressure drop between these sections is p 1 - p 2 = 1 . 92 N m 2 . Find the total force of friction exerted by the tube on the air. Fig. 1: Problem 1 Problem 2 A small cart that caries a single turning vane roles on a level track. The cart mass is M = 10 . 5 kg and its initial speed is U 0 = 12 . 5 m s . At t = 0, the vane is struck by an opposing jet of water, as shown. Neglect any external forces due to air or rolling resistance. Determine the time and the distance needed for the liquid jet to bring the cart to rest. Plot the cart speed (nondimensionalized on U 0 ) and the distance traveled as functions of time. Fig. 2: Problem 2 Problem 3 A cart is propelled by a liquid jet issuing horizontally from a tank as shown. The track is horizontal: resistance to motion may be neglected. The tank is pressurized to

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## This note was uploaded on 03/30/2011 for the course MAE 101a taught by Professor Sakar during the Spring '08 term at UCSD.

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Homework5 - MAE 101A:Introductory Fluid Mechanics Homework...

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