Potential Flow

It is a mathematical model used to describe fluids assuming that they are inviscid, incompressibe and irrotational.  It defines a potential function, $\varphi (t,x,y,z)$ as a continuous function satisfying conversation laws such that.

$$\vec{V}=\nabla \varphi$$

Components

$$u=\frac{\partial \varphi }{dx},v=\frac{\partial \varphi }{dy}\text{ and }w=\frac{\partial \varphi }{dz}$$