The velocity components for an incompressible steady flow field are (u=aleft(x^{2}+z^{2} ight)) and (v=b(x y+y z)). Determine

The velocity components for an incompressible steady flow field are \(u=a\left(x^{2}+z^{2}\right)\) and \(v=b(x y+y z)\). Determine the general expression for the \(z\) component of velocity. If the flow were unsteady, what would be the expression for the \(z\) component?