Question

Crocco’s theorem gives a relation between which of the following?

(a) Entropy and flow velocity

(b) Gradient of entropy and vorticity

(c) Gradient of angular acceleration and enthalpy

(d) Flow velocity and enthalpy

I have been asked this question during an interview.

I need to ask this question from Crocco’s Theorem topic in division Differential Conservative Equations for Inviscid Flow of Aerodynamics

Answer 1

The correct option is (b) Gradient of entropy and vorticity

Explanation: According to the Crocco’s theorem, there is a relationship established between vorticity, gradient of enthalpy and gradient of entropy.

V × (∇ × V) = ∇h0 – T∇s

Where, ∇ × V is the vorticity

∇h0 is gradient of total enthalpy

T∇s is gradient of entropy