2. Prove that the equation of motion of a homogeneous inviscid fluid moving under forces arising...

 

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2. Prove that the equation of motion of a homogeneous inviscid fluid moving under forces arising from a potential V may be written in the form at q \ = grad (2 + 1/2q + v). - where = curl q is the vorticity vector. If the velocity of q referred to cylindrical polar coordinates (r, 0, z) is given by q = (0, wa.0). 2r where w is a constant, prove that = 0. Determine the corre- sponding pressure distribution if the motion takes place under no external forces. 2. Prove that the equation of motion of a homogeneous inviscid fluid moving under forces arising from a potential V may be written in the form at q \ = grad (2 + 1/2q + v). - where = curl q is the vorticity vector. If the velocity of q referred to cylindrical polar coordinates (r, 0, z) is given by q = (0, wa.0). 2r where w is a constant, prove that = 0. Determine the corre- sponding pressure distribution if the motion takes place under no external forces.