Question

Existence of velocity potential implies that

• A. Fluid is in continuum
• B. fluid is irrotational
• C. Fluid is ideal
• D. Fluid is compressible

Answer 1

The correct option is B fluid is irrotational

Velocity potential function$(\varphi$):
Velocity component in x,y and z direction are:
$u=\frac{-\partial \varphi }{\partial x},V=\frac{\partial \varphi }{\partial y},w=\frac{-\partial \varphi }{\partial z}$
Flow always occurs in the direction of decreasing potential.
Velocity potential function exists only for irrotational flow.