EGM6812_HW4Q - EGM 6812 Fluid Mechanics 1 - Fall 2010...

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EGM 6812 Fluid Mechanics 1 - Fall 2010 9/17/10, 4 th Homework 1. Problem 5.1 from Panton. 2. Using the differential conservation of momentum equation as a starting point, derive the differential kinetic energy equation,  22 b VV f V p V t           . Hint: start by taking b DV Vf p Dt   , assuming a Newtonian fluid and Stokes’ Assumption. 3. Derive the differential thermal energy equation, Dh Dp q Dt Dt    , where, i ij j u x  is the viscous dissipation. 4. Using the incompressible differential conservation of momentum equation as a starting point, derive the vorticity transport equation, 2 D V Dt     . Hints: start by taking 2 b DV f pV Dt     . 5. By taking the divergence of the incompressible, constant property N-S equation, obtain an
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This note was uploaded on 01/17/2012 for the course EGM 6812 taught by Professor Renweimei during the Fall '09 term at University of Florida.

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