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Laminar Flow of a Slightly Viscous Incompressible Fluid that Issues from a Slit and Passes Over a Flat Plate

出版	National Advisory Committee for Aeronautics, 1948
URL	http://books.google.com.hk/books?id=NwmJf0psY3wC&hl=&source=gbs_api
EBook	FULL_PUBLIC_DOMAIN

註釋The laminar flow of a slightly viscous incompressible fluid that issues from a slit and passes over a flat plate is investigated in a region far enough from the slit for the boundary-layer equations to be valid. By assuming similar velocity distributions along the plate, the partial differential equation for the boundary layer is reduced to a third-order nonlinear ordinary differential equation. This equation is integrated by numerical means for the required boundary conditions. The solution gives the velocities at points in the fluid and the surface friction at points on the plate. Some of the specific results obtained are that the velocities parallel to the plate vary inversely as the 1/2 power of the distance from the slit, that the velocities perpendicular to the plate vary inversely as the 3/4 power of the distance from the slit, that the width of the disturbed region increases as the 3/4 power of the distance from the slit, that the surface friction is independent of the viscosity of the fluid and varies inversely as the 1/4 power of the distance from the slit, that the rate at which momentum parallel to the plate passes through a plane normal to the plate varies inversely as the 1/4 power of the distance from the slit to the normal plane, and that the quantity of fluid passing through a plane normal to the plate per unit time varies directly as the 1/4 power of the distance from the slit to the normal plane.