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The stream function in a two dimensional flow field is given by ψ = x2 - y2 The magnitude of the velocity at point (1, 1) is
​[1989]
  • a)
    2
  • b)
    2√2
  • c)
    4
  • d)
    8
Correct answer is option 'B'. Can you explain this answer?
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The stream function in a two dimensional flow field is given by ψ ...
Stream function,
ψ = x2 - y2
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The stream function in a two dimensional flow field is given by ψ ...
The stream function in a two-dimensional flow field is typically denoted by Ψ (psi) and is defined as the function that satisfies the following equations:

∂Ψ/∂x = -v
∂Ψ/∂y = u

where u and v are the x and y components of the velocity vector, respectively. The stream function Ψ is a scalar field that describes the flow pattern in the flow field. By plotting the streamlines, which are curves that are everywhere tangent to the velocity vector, one can visualize the flow behavior and identify important features such as stagnation points, separation points, and vortex regions. The stream function is particularly useful in the analysis of incompressible, irrotational flow fields, such as those encountered in potential flow theory.
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The stream function in a two dimensional flow field is given by ψ = x2 - y2 The magnitude of the velocity at point (1, 1) is[1989]a)2b)2√2c)4d)8Correct answer is option 'B'. Can you explain this answer?
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