# hw2 - S09 - Chemical Engineering 150A Spring Semester, 2009...

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Chemical Engineering 150A Spring Semester, 2009 Homework 2: Dimensional Analysis and Pipe Flow Problem 1 The power output of a hydraulic turbine depends on the diameter D of the turbine, the density ρ of water, the height H of water surface above the turbine, the gravitational acceleration g , the angular velocity ω of the turbine wheel, the volumetric discharge rate Q of water through the turbine, and the efficiency η of the turbine. a) Using the Buckingham Pi Theorem, generate a set of appropriate dimensionless groups using the density of water, turbine diameter, and angular velocity of the turbine wheel as the core group of variables. b) What two criteria does the set of core variables have to satisfy? Problem 2 A long structural component of a bridge has the cross section shown in the figure below, with D = 0.1 m and H = 0.3 m. We would like to determine the drag per unit length, l D , on this structure at a representative wind velocity of 50 km/hr (standard air can be assumed) through the use of a small-scale model that is to be tested in a water tunnel. For the model, H

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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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hw2 - S09 - Chemical Engineering 150A Spring Semester, 2009...

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