This chapter introduces the basic equations of boundary layer theory, which was originally proposed by Ludwig Prandtl in 1904. It first discusses some phenomena associated with the boundary layer and then returns to the Navier‐Stokes equations. By making certain assumptions on flow conditions in the boundary layer, the chapter derives the actual boundary layer equations. Exterior flow and boundary layer flow must satisfy the principles of conservation of two‐dimensional mass and momentum. Therefore, continuity and Navier‐Stokes equations apply to both flow boundary layer and exterior flow. The chapter deals with the two‐dimensional continuity equation and Navier‐Stokes equations for steady, incompressible flow. The set of coupled partial differential equations is much less complex than the original Navier‐Stokes equations. However, the set is still nonlinear due to the convection terms on the left‐hand side of the conservation of momentum equation.
Boundary Layer Theory
Fundamentals of Ship Hydrodynamics ; 106-117
2019-05-06
12 pages
Aufsatz/Kapitel (Buch)
Elektronische Ressource
Englisch
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AIAA | 1973
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