Question

What does the curl of velocity field give us?

(a) Moment of Inertial

(b) Angular velocity

(c) Angular acceleration

(d) Moment

The question was posed to me during an online exam.

My enquiry is from Crocco’s Theorem topic in portion Differential Conservative Equations for Inviscid Flow of Aerodynamics

Answer 1

Right answer is (b) Angular velocity

For explanation: If the translation velocity of the fluid particle is given by V, then the angular velocity ω is given as the curl of velocity field. It tells us the measure of rotation for the fluid particle at a particular point.

ω = \(\frac {1}{2}\) ∇ × V