= + 1. Using Euler's equation show that the vorticity w = Vx of a fluid...

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= + 1. Using Euler's equation show that the vorticity w = Vx of a fluid particle is conserved in a two-dimensional, isentropic, incompressible flow [dw/dt (V) = 0]. Hint: take the curl of Euler's equation and use the vector identities ( V) = v/2 and (a b) = a( b) b(V a) + (b V)a (a V)b . = + 1. Using Euler's equation show that the vorticity w = Vx of a fluid particle is conserved in a two-dimensional, isentropic, incompressible flow [dw/dt (V) = 0]. Hint: take the curl of Euler's equation and use the vector identities ( V) = v/2 and (a b) = a( b) b(V a) + (b V)a (a V)b .