Knowledge card
Stream Function ψ and f(η)
Mathematical Modelling — Fluid Dynamics & Heat TransferContinuum mechanics; boundary-layer similarity theory
Symbol
fThe stream function (written through f(η)) that satisfies continuity automatically; its derivative is the dimensionless velocity and the velocity components follow from it.
Also known as:f(η)
Variable
Dimension I
Definition
What it is — and what it is not
- What it is
- S1The stream function that satisfies continuity automatically, written through f(η).
- Wisdoms
- S2f′(η) is the dimensionless velocity and the wall value of f″ measures the wall shear.
- Attributes
- S3The axial velocity is the wall-normal derivative of the stream function, proportional to f′(η).
Dimension II
In practice
How to deal with it
No practical guidance recorded yet.
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