For a steady flow, the velocity potential function for velocity V can be given by _______(a) u = -δϕ/δx, v = δϕ/δy, w = δϕ/δx(b) u = δϕ/δx, v = δϕ/δy, w = δϕ/δx(c) u = -δϕ/δx, v = -δϕ/δy, w = δϕ/δ(d) u = -δϕ/δx, v = -δϕ/δy, w = -δϕ/δxI had been asked this question by my college director while I was bunking the class.My question comes from Source Flow topic in chapter Inviscid & Incompressible Flow of Aerodynamics

For a steady flow, the velocity potential function for velocity V can

1.	For a steady flow, the velocity potential function for velocity V can be given by _______(a) u = -δϕ/δx, v = δϕ/δy, w = δϕ/δx(b) u = δϕ/δx, v = δϕ/δy, w = δϕ/δx(c) u = -δϕ/δx, v = -δϕ/δy, w = δϕ/δ(d) u = -δϕ/δx, v = -δϕ/δy, w = -δϕ/δxI had been asked this question by my college director while I was bunking the class.My question comes from Source Flow topic in chapter Inviscid & Incompressible Flow of Aerodynamics
Answer» The correct answer is (d) u = -δϕ/δx, v = -δϕ/δy, w = -δϕ/δx Explanation: Velocity POTENTIAL FUNCTION is scalar function of space and time and its negative derivative with respect to any direction GIVES the fluid velocity in that direction. MATHEMATICALLY, it is ϕ = f(x,y,z) such that, u = -ϕδ/xδ, v = -ϕδ/δy, w = -ϕδ/δx.

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