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Derive vorticity transport equation from Navier-Stokes equations, by eliminating pressure terms. Assume 2D-flow without body forces. (a) for square plate, (b) Obtain the partial
Derive vorticity transport equation from Navier-Stokes equations, by eliminating pressure terms. Assume 2D-flow without body forces. (a) for square plate, (b) Obtain the partial differential equation for the stream function w. Continuity Equation Navier Stock Equations dys V= dv di ay ax +21 Rotation: Vorticity: ax du du di Ox dy + +v dv av ex dy +V 0 dv dy ax >=2XXV. @= 1 ap Pox 1 = +v( = 20 =VXV Ox +V( d'u d'u 0x0y 0 v d'y 0x0y
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SOLUTION To derive the vorticity transport equation from the 2D NavierStokes equations we need to eliminate the pressure terms Lets start with the given equations Continuity Equation ux vy 0 NavierSto...
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Modern Classical Physics Optics Fluids Plasmas Elasticity Relativity And Statistical Physics
Authors: Kip S. Thorne, Roger D. Blandford
1st Edition
0691159025, 978-0691159027
