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The velocity potential function in a two-dimensional flow field is given by ϕ = x2 – y2
The magnitude of velocity at point P (1, 1) is
  • a)
    Zero
  • b)
    2
  • c)
    2√2
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The velocity potential function in a two-dimensional flow field is giv...
The velocity potential function, stream function, and velocity components are related as shown below

where ϕ - velocity potential function, ψ - stream function.
Calculation:
Given:

Velocity potential function is ϕ = x2 – y2;
Now the velocity components will be 

At P(1,1), U = -2 m/s, V = 2 m/s;
Now the magnitude of velocity at point P (1, 1) will be 

 
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The velocity potential function in a two-dimensional flow field is given by = x2– y2The magnitude of velocity at point P (1, 1) isa)Zerob)2c)2√2d)8Correct answer is option 'C'. Can you explain this answer?
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