The Property Of Stream Function ψ Is

By Aina Parasher|Updated : July 12th, 2022

The property of stream function ψ is-

  1. ψ is constant everywhere on any stream line.
  2. The flow around any path in the fluid is zero for continuous flow.
  3. The rate of change of ψ with distance in an arbitrary direction, is proportional to the component of velocity normal to that direction.
  4. The velocity vector may be found by differentiating the stream function.
  5. All the above.

Answer: E. All the above

The property of stream function ψ is all the above given options

Solution

Stream function is defined for compressible flows in space or 2D. Stream function is defined as,

δψ/δx = v and δψ/δy = -u

Stream line is the line having a constant value of stream function.

Properties of stream function:

  • Stream function is constant everywhere on any stream line.
  • The rate of change of ψ with distance in any direction, is proportional to the component of velocity normal to that direction.
  • Velocity vector is tangential to the stream function.
  • The flow around any path in the fluid is zero for continuous flow.

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