Taxonomy_of_fluid_mechanics - The Taxonomy of Fluid...

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The Navier-Stokes Equation The Taxonomy of Fluid Dynamics Valid for any fluid ( ) () ij V VV g t ρ ρσ +∇⋅ = r rr r r r The Cauchy Equation Inviscid Flow Nonlinear Viscous terms drop out Bernoulli equation valid along streamlines Euler equation DV P g Dt =−∇ + r r r Valid for Newtonian fluid only 2 DV P gV Dt ρρ µ = −∇ + + r r r r Irrotational Flow Linear Viscous terms drop out Bernoulli equation valid everywhere Superposition valid
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This note was uploaded on 07/23/2008 for the course ME 33 taught by Professor Cimbala during the Fall '05 term at Pennsylvania State University, University Park.

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