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Concept
Blasius boundary layer
Summary
In physics and fluid mechanics, a Blasius boundary layer (named after Paul Richard Heinrich Blasius) describes the steady two-dimensional laminar boundary layer that forms on a semi-infinite plate which is held parallel to a constant unidirectional flow. Falkner and Skan later generalized Blasius' solution to wedge flow (Falkner–Skan boundary layer), i.e. flows in which the plate is not parallel to the flow.
Prandtl's boundary layer equations
Using scaling arguments, Ludwig Prandtl argued that about half of the terms in the Navier-Stokes equations are negligible in boundary layer flows (except in a small region near the leading edge of the plate). This leads to a reduced set of equations known as the boundary layer equations. For steady incompressible flow with constant viscosity and density, these read:
- Mass Continuity: \dfrac{\partial u}{\partial x} + \dfrac{\partial v}{\partial y} = 0
- x-Momentum: u \dfrac{\partial u}{\partial x} +
Official source
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