Solution-Show pressure distribution related to velocity and

Show pressure distribution related to velocity and vorticity

Reference no: EM13939038

Vorticity Equation

For an incompressible fluid with const viscosity, show that

∇.[( ∇^→. ∇)V^→] = 1/2 ∇²(V^→.V^→) - V^→.(∇²V^→) - ω^→.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^→.ω^→+ V^→.(∇²V^→) - 1/2∇²(v^→.v^→)

Reference no: EM13939038

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Show pressure distribution related to velocity and vorticity

Reference no: EM13939038

Reference no: EM13939038

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