Question

The relation between pressure and velocity in an inviscid, incompressible flow is given by __________

(a) p = constant

(b) p + 0.5ρ*V^2 = constant

(c) 0.5ρ*V^2 = 0

(d) p + 0.5ρ*V^2 = 0

The question was asked by my college professor while I was bunking the class.

This intriguing question comes from Bernoulli’s Equation in portion Inviscid & Incompressible Flow of Aerodynamics

Answer 1

Right option is (b) p + 0.5ρ*V^2 = constant

The explanation is: The relation between pressure and velocity can be given by p+0.5ρ*V^2 = constant which is called as Bernoulli’s equation. In the above equation, p is the pressure and V is the velocity which implies that as the pressure increases, velocity decreases and vice versa.