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A flow field is defined by the stream function ψ = 2x2 y, determining the corresponding velocity potential.
  • a)
    Flow is irrotational, ϕ = 2xy2 − 2 / 3x3 + C
  • b)
    Flow is rotational, ϕ = 2xy2 − 2 / 3x3 + C
  • c)
    Flow is irrotational, ϕ = 2 / 3 x3 − 2xy2 + C
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A flow field is defined by the stream function ψ = 2x2 y, determining...
Given stream function, ψ = 2x2 y
u = ∂ψ / ∂y ; v = − ∂ψ / ∂x ⇒ u = 2x2 ; v = −4xy
As (∇ ×V ) ≠ 0 ; therefore flow is rotational, and velocity potential function does not exist for rotational flow.
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Most Upvoted Answer
A flow field is defined by the stream function ψ = 2x2 y, determining...
Given stream function, ψ = 2x2 y
u = ∂ψ / ∂y ; v = − ∂ψ / ∂x ⇒ u = 2x2 ; v = −4xy
As (∇ ×V ) ≠ 0 ; therefore flow is rotational, and velocity potential function does not exist for rotational flow.
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A flow field is defined by the stream function ψ = 2x2 y, determining the corresponding velocity potential.a) Flow is irrotational, ϕ = 2xy2 − 2 / 3x3 + Cb) Flow is rotational, ϕ = 2xy2 − 2 / 3x3 + Cc) Flow is irrotational, ϕ = 2 / 3 x3 − 2xy2 + Cd) None of the aboveCorrect answer is option 'D'. Can you explain this answer?
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