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What is the nature of the flow having a velocity potential?(a) Rotational(b) Irrotational(c) Inviscid(d) ViscousThis question was posed to me in an international level competition.Question is from The Velocity Potential Equation in chapter Velocity Potential Equation of Aerodynamics

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The correct ANSWER is (b) Irrotational

For explanation: For irrotational flow, curl of VELOCITY vector yields ZERO. In case the curl of any vector is zero i.e.∇ × V = 0, where V is a vector, it is also expressed in the FORM of ∇ζ where ζ is a scalar function. In case of irrotational flow, velocity potential ϕ is the scalar function. Hence if the flow has a velocity potential, it automatically implies that it is irrotational.



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