velocity components

The velocity components in x- and y-directions of a two-dimensional, incompressible flow field are $u(x, y) = 2x^2 + y^3$ and $v(x, y) = x^3 – 2xy + f(x, y)$, respectively. Here, $...

A two-dimensional source flow (with stream function, $\psi_1 = m \tan^{-1}\frac{y}{x}$) is placed at the origin in a uniform flow (with stream function, $\psi_2 = Uy$). Here, the s...