For an irrotational flow, what is the relation for the velocity potential?(a) V = ∇ × ϕ(b) V = ∇ϕ(c) V = -∇ × V(d) V = (∇ × V)ϕThis question was addressed to me in an interview for job.This interesting question is from The Velocity Potential Equation in division Velocity Potential Equation of Aerodynamics

For an irrotational flow, what is the relation for the velocity potent

1.	For an irrotational flow, what is the relation for the velocity potential?(a) V = ∇ × ϕ(b) V = ∇ϕ(c) V = -∇ × V(d) V = (∇ × V)ϕThis question was addressed to me in an interview for job.This interesting question is from The Velocity Potential Equation in division Velocity Potential Equation of Aerodynamics
Answer» RIGHT option is (b) V = ∇ϕ The EXPLANATION is: The irrotational flow is GIVEN by the curl of velocity VECTOR. If we take a gradient of the scalar function, we get zero as a result. ∇ × (∇ϕ) = 0 Thus, the velocity potential is describing as the scalar function ∇ϕ.

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