Boundary Layer Theory

By J. Spurk. Fluid Mechanics, 2019

2,974 citations recorded by the source corpus.

The boundary layer equations for plane, incompressible, and steady flow are $$\matrix{ {u{{\partial u} \over {\partial x}} + v{{\partial u} \over {\partial y}} = - {1 \over \varrho }{{\partial p} \over {\partial x}} + v{{{\partial ^2}u} \over {\partial {y^2}}},} \cr {0 = {{\partial p} \over {\partial y}},} \cr {{{\partial u} \over {\partial x}} + {{\partial v} \over {\partial y}} = 0.} \cr }$$

View Paper: https://www.semanticscholar.org/paper/540abb465fcc0fb4498e2d7c9aa92a1c4f58dc30

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Citations in the corpus

Boundary layer associated with the Darcy–Brinkman–Boussinesq model for convection in porous media (2011, background): “This is very similar to the classical boundary layer problem for incompressible viscous fluids at small viscosity that we already recalled [48, 41, 52, 57, 58].”
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Recent Developments in the Fluid Dynamics of Tropical Cyclones (2017, unknown): “…the situation in many simple ﬂuid ﬂows, where the boundary layer is one in which the ﬂow speed is reduced by friction to below the free-stream value (Schlichting 1968), it has been widely (and reasonably) assumed that friction acts everywhere to reduce the wind speed in a tropical cyclone (see…”
Turbulence and secondary motions in square duct flow (2017, background): “It is a common notion in the engineering practice (Schlichting 1979) that friction data for ducts with complex shape should collapse on the friction curves for canonical flows, provided the bulk Reynolds number is constructed using a suitable length scale, the most frequently used being the hydrauli”
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Non-Oberbeck–Boussinesq effects in strongly turbulent Rayleigh–Bénard convection (2005, methodology): “Under OB conditions the profile-based thermal boundary-layer thickness λ99% can be calculated according to the Prandtl–Blasius BL theory (cf. Meksyn 1961; Schlichting & Gersten 2000).”
Characterization of superhydrophobic surfaces for drag reduction in turbulent flow (2018, background): “Conventionally, a surface is considered hydrodynamically smooth when k+ 6 5.0 (Schlichting & Gersten 2000).”