Question

How is the vorticity related to the angular velocity?

(a) Twice of angular velocity

(b) Thrice of angular velocity

(c) No difference

(d) Half of angular velocity

The question was posed to me in exam.

This question is from Crocco’s Theorem in chapter Differential Conservative Equations for Inviscid Flow of Aerodynamics

Answer 1

The correct choice is (a) Twice of angular velocity

For explanation: Vorticity is a measure of tendency of the fluid particle to rotate. It is given by:

∇ × V

The value of vorticity is twice as much as the angular velocity whose formula is:

ω = \(\frac {1}{2}\) ∇ × V