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What is a velocity potential?(a) ∇ × ϕ(b) ∇ϕ(c) – ∇ × V(d) (∇ × V)ϕI had been asked this question in class test.I would like to ask this question from Irrotational Flow topic in chapter Velocity Potential Equation of Aerodynamics

Answer»

The correct option is (b) ∇ϕ

To ELABORATE: 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 described as the scalar function ∇ϕ. It satisfies the Laplace EQUATIONS as well.



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