Hw3 S09 - (g Draw an appropriate control volume for this problem and derive an expression for the change in height h of water in the tank dh/dt Be

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Chemical Engineering 150A Spring Semester, 2009 Homework 3: Flow Past Submerged Objects, Macroscopic Balances Problem 1 Use Excel or a similar plotting program and the equations we have used in class (from the text by Denn) to describe the Cd vs Re data, produce two plots: a) the drag coefficient for flow past a sphere as a function of Re on linear-linear coordinates and b) the same plot on log-log coordinates. Your plot should cover values of the Reynolds number from 0.0001 to 200,000. Compare your plots to the plot of data for spheres in Figure 4-1 of the text. Problem 2 A radio antenna on a car consists of a circular cylinder 0.25 inches in diameter and 3 feet long. Determine the drag force on the antenna if the car is driven at 55 miles per hour through still air. Problem 3 Problem 4.8 in Process Fluid Mechanics Problem 4 A tank is being filled with water by two inlet pipes (1 and 2 in the figure below). Unfortunately, due to operator error, the valve on the drain pipe (3) was left open.

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Unformatted text preview: (g) Draw an appropriate control volume for this problem, and derive an expression for the change in height h of water in the tank, dh/dt. Be sure to indicate any assumptions you are making. (h) Calculate dh/dt if the diameters of each of the pipes and the tank are D 1 = 10 cm, D 2 = 6 cm, D 3 = 4 cm, and D tank = 0.5 m, and water enters pipe 1 at a rate of 1.2 kg/s, the average velocity in pipe 2 is V 2 =1.5 m/s, and the flow rate through pipe 3 is 8 x 10-4 m 3 /s. to drain valve H h(t) 1 2 3 Problem 5 A fan draws air from atmosphere through a 0.30 m diameter round duct that has a smoothly rounded entrance. A differential manometer with one opening in the wall of the duct and the other opening to atmosphere shows a vacuum pressure of 2.5 cm of water. The density of air is 1.22 kg/m 3 . Assume the system is at steady state with negligible viscous losses. a) Determine the volume rate of air flow in the duct in cubic meters per second. b) What is the power input from the fan in Watts?...
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This note was uploaded on 02/05/2010 for the course CHEM 150A taught by Professor Muller during the Spring '10 term at University of California, Berkeley.

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Hw3 S09 - (g Draw an appropriate control volume for this problem and derive an expression for the change in height h of water in the tank dh/dt Be

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