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ME345_Lecture_02

ME345_Lecture_02 - Solution Example Given Power W ± is a...

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M E 345 Spring 2008 Professor John M. Cimbala Lecture 02 01/16/2008 Today, we will : Do an example problem – significant digits Review the pdf module: Dimensional Analysis Do some example problems – dimensional analysis Example Given : Atmospheric pressure P atm = 101.3 kPa Gage pressure at point 1 is 1,35 0 Pa Gage pressure is defined as P gage = P P atm , where P = absolute pressure To do : Calculate the absolute pressure at location 1, taking into account the appropriate number of significant digits. Solution :
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Example Given : Power W ± has the dimensions of energy per unit time. To do : Write the dimensions of power in terms of primary dimensions.
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Unformatted text preview: Solution : Example Given : Power W ± is a function of torque T and angular velocity ω . To do : Express the relationship between W ± , T , and in dimensionless form. Solution : Step 1: Step 2: Step 3: Step 4: Step 5: Step 6: Example Given : Consider fully developed laminar flow through a very long round tube. Volume flow rate V ± is a function of the tube’s inner diameter D , fluid viscosity μ , and axial pressure gradient dP / dx . To do : Use dimensional analysis to generate a nondimensional functional relationship. Solution : Step 1: Step 2: Step 3: Step 4: Step 5: Step 6:...
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ME345_Lecture_02 - Solution Example Given Power W ± is a...

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