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A two dimensional flow field is given by stream function ψ = x2 - y2. The magnitude of absolute velocity at a point (1, 1) is
  • a)
    2
  • b)
    4
  • c)
    8
  • d)
    2√2
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A two dimensional flow field is given by stream function ψ = x2 - ...

at (1, 1) Vx = -2 m/s = Vy
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Most Upvoted Answer
A two dimensional flow field is given by stream function ψ = x2 - ...
Ψ(x,y) = 2x^2 + y^2

To find the velocity field, we can use the relationship between the stream function and the velocity potential:

u = ∂ψ/∂y, v = -∂ψ/∂x

Taking partial derivatives of ψ with respect to x and y, we get:

∂ψ/∂x = 4x
∂ψ/∂y = 2y

Substituting these into the expressions for u and v, we get:

u = 2y, v = -4x

Therefore, the velocity field is given by:

u(x,y) = 2y
v(x,y) = -4x
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A two dimensional flow field is given by stream function ψ = x2 - y2. The magnitude of absolute velocity at a point (1, 1) isa)2b)4c)8d)2√2Correct answer is option 'D'. Can you explain this answer?
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