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Vorticity Equation

For an incompressible fluid with const viscosity, show that

∇.[( ∇. ∇)V] = 1/2 ∇2(V.V) - V.(∇2V) - ω

Using Navier-Stokes equation and the above result, show that the pressure distribution can be related to the velocity and vorticity by

2(P/δ) ω+ V.(∇2V) - 1/2∇2(v.v)

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