Specify any assumption(s) we need to impose, to define steam function , and velocity potential seperately for a fluid flow? Write down the expression of velocity components interms of and is cartesian and polar coordinate systems. (a) A transient velocity vector is given as = (2 3) (3 2), where is time. Show that the flow described by the given velocity field is incompressible and irrotational. (b) Derive the expressions for the stream function and velocity potential for this flow. Assume the constant of integral as = 0. (c) Rechckthattheobtainedexpressionforandarerightbyrecalculatingthevelocitycomponents