Three-Dimensional Boundary Layer Theory

Publisher Summary This chapter describes a unified theory of the three-dimensional boundary layer. The differential equation for the laminar compressible boundary layer in a “geodesic” coordinate system, which is suitable for all problems, is reviewed in the chapter. The chapter deals with problems of rotating disks and fluids. These problems afford a nice insight into the nature of secondary flow and are not lacking in technological importance, bearing as they do on the problems of compressor theory and meteorology. A number of problems concerned with the flight of three-dimensional bodies, beginning with the boundary layer of surfaces of revolution and continuing to a class of problems related to yawed wings and conical surfaces. The concepts of boundary layer displacement and of separation are generalized to three dimensions, and a number of flows are considered that are analyzed as perturbations of plane or axially symmetric cases. The separation problem in three-dimensional cases comes in two parts that includes the question of existence of an encapsulated bubble of fluid in the boundary layer, enclosing a system of vortices and the question of occurrence of an eruption of the boundary layer.

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