Find pressure gradient for frictionless flow


An incompressible velocity field is given by

u=u(r,theta,z)=(u_r(r,theta,z),u_theta(r,theta,z),u_z(r,theta,z))=((1-(1/(r^2))*cos(theta), -(1+(1/(r^2))*sin(theta), 0)

a)Does this flow satisfy the continuity equation

b)Find the pressure gradient, (nabla)p(r,theta,z), by assuming a frictionless flow and neglecting gravity.

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Mechanical Engineering: Find pressure gradient for frictionless flow
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