The Property Of Stream Function ψ Is
By BYJU'S Exam Prep
Updated on: September 25th, 2023
The property of stream function ψ is-
- ψ is constant everywhere on any stream line.
- The flow around any path in the fluid is zero for continuous flow.
- The rate of change of ψ with distance in an arbitrary direction, is proportional to the component of velocity normal to that direction.
- The velocity vector may be found by differentiating the stream function.
- All the above.
Table of content
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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