Aerospace Engineering > GATE 2019 > Velocity Potential
φ(x, y) represents the velocity potential of a two-dimensional flow with velocity field V⃗ = u(x, y)î + v(x, y)ĵ, where î and ĵ are unit vectors along the x and y axes, respectively. Which of the following is necessarily true?
A
∇2φ = 0
B
∇ x V⃗ = 0
C
∇ • V⃗ = 0
D
u = -∂φ/∂y, v = ∂φ/∂x

Correct : b

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