Lecture9_3

Lecture9_3 - 11/23/2010 AME 331 Introduction to Fluid...

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11/23/2010 1 AME 331 Introduction to Fluid Mechanics Chapter 9: External Incompressible Viscous Flow Prof. Jesse Little University of Arizona 11/24/10 1 Lecture Preview and Assignments Today 9.5-9.6 Read 9.7 HW 11 due Wed 12/1 Last time…. 2
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11/23/2010 2 Momentum Integral (9-4) We developed the momentum integral equation using conservation of mass and momentum for a differential CV in the boundary layer. This is a valid approximation for incompressible, steady 2D flow over a solid surface. It is valid for laminar and turbulent boundary layers for which U(x) and p(x) are known functions of position along x. We will show the utility of this expression today 3 Momentum Integral (9-4) To use this expression, there are 3 steps. 1. Assume or estimate U(x). This can be done using Eulers equation (inviscid) For the flat plate case, freestream velocity and pressure are constant. 2. Assume a velocity profile (even bad ones give decent results) This simplifies the momentum integral equation because the value of the integral is just some constant 3. Derive/assume an expression for wall shear. Will be different depending on laminar/turbulent Ditto for step 2 4
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11/23/2010 3 MI with Zero Pressure Gradient (9-5) This actually simplifies our momentum integral equation because the value of the integral is just some constant. Step 3 requires info from step 2 and at this point we have to
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Lecture9_3 - 11/23/2010 AME 331 Introduction to Fluid...

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