Question

According to Euler’s equation, what happens to the velocity of the inviscid flow if the pressure increases?

(a) No change

(b) Increases

(c) Decreases

(d) Becomes zero

I have been asked this question by my school teacher while I was bunking the class.

I need to ask this question from Irrotational Flow in chapter Velocity Potential Equation of Aerodynamics

Answer 1

Right option is (c) Decreases

Best explanation: According to the Euler, the relation between velocity and pressure for an inviscid fluid is given by dp = – ρVdV. According to the relation, due to the presence of negative sign, when the pressure increases velocity decreases and vice versa. The same concept is also explained using Bernoulli’s principle.