Blasius Solution

Theorem
Discovered byPaul Richard Heinrich Blasius
ConditionsLaminar, Flat Plate, Zero Pressure Gradient

Statement

The Blasius Solution describes the steady 2D laminar boundary layer formed on a semi-infinite flat plate held parallel to a constant unidirectional flow.

Mathematical Form

2f+ff=02f''' + f f'' = 0 where f(η)f(\eta) is the similarity function and η=yU/(2νx)\eta = y \sqrt{U/(2\nu x)}.

Relationships