hw1 - S09 - Chemical Engineering 150A Spring Semester, 2009...

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Chemical Engineering 150A Spring Semester, 2009 Homework 1: Hydrostatics and Dimensional Homogeneity Problem 1 The pressure difference, Δ p, across a partial blockage in an artery (called a stenosis) is approximated by the equation: ! p = K v " V D + K u A 0 A 1 # 1 $ % ( ) ) 2 * V 2 where V is the blood velocity, η is the blood viscosity, ρ is the blood density, D is the artery diameter, A o is the area of the unobstructed artery, and A 1 is the area of the stenosis. Determine the dimensions of the constants K v and K u . Would the values of these constants change depending on what system of units (English, SI, cgs, etc.) the quantities V, η , ρ , etc. were expressed in? Explain briefly. Problem 2 An early version of a textbook on fluid mechanics contains a number of typographical errors. One or more of these occur in the equation below. Show the dimensions of each term in the equation below and, given that MOST of the terms are correct, use the principle of dimensional homogeneity to determine which term or terms are in error. Note that
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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 Berkeley.

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hw1 - S09 - Chemical Engineering 150A Spring Semester, 2009...

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