p0204 - R , and . They are [ R ] = L, [ ] = 1 T , [ ] = L 2...

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2.4. CHAPTER 2, PROBLEM 4 133 2.4 Chapter 2, Problem 4 Problem: The Womersley number , Wo , is a dimensionless quantity that is important for biofluid-mechanics applications. It is defined by Wo R 5 ω ν where R is length, ω is frequency and ν is kinematic viscosity. Verify that Wo is dimensionless. Solution: The first thing we must do is make a list of the dimensions of
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Unformatted text preview: R , and . They are [ R ] = L, [ ] = 1 T , [ ] = L 2 T where L and T denote dimensions of length and time, respectively. Substituting into the Womersley number, Wo , we have [ Wo ] = R 5 = L > : 1 /T L 2 /T = 1 Therefore, the Womersley number is dimensionless....
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.

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