Define the terms velocity potential and stream functions. Establish the relationships between velocity potential and stream functions. Define the physical significance of velocity potential and stream function.
Answers
A stream function (with regard to 2 Dimensional Incompressible fluid flow) is an arbitrary function whose derivatives give velocity components of a particular flow situation.
The stream function is mathematically defined in such a way that lines of constant stream function are streamlines (hence the name stream function).
In other words, iso-stream function lines are streamlines in a fluid flow.
The stream function makes a lot of calculations and understanding of 2D Incompressible fluid flows easy.
The stream function is defined for incompressible (divergence-free) flows in two dimensions – as well as in three dimensions with axisymmetry. ... Since streamlines are tangent to the flow velocity vector of the flow, the value of the stream function must be constant along a streamline.
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