LAMINAR BOUNDARY LAYER IN TWO-DIMENSIONAL DETACHED FLOWS

A new approach to the calculation of the laminar boundary layer in a two-dimensional detached fl uid fl ow with the use of two or three integral relations representing the velocity profi le of this fl ow in the form of a defi nite-degree polynomial is proposed. The initial problem on the indicated layer is defi ned by the system of two or three ordinary diff erential equations. The Howart, Tani, and Görtler fl ows with a decreasing velocity and the fl ows whose velocity initially increases and then decreases (the Curle fl ow, the transverse fl ow around a circular cylinder, and the fl ow around a sphere) were considered. A comparative analysis of the results of calculations of these fl ows has shown that the approach proposed allows one to practically exactly determine the point of separation of the boundary layer in them
A new approach to the calculation of the laminar boundary layer in a two-dimensional detached fl uid fl ow with the use of two or three integral relations representing the velocity profi le of this fl ow in the form of a defi nite-degree polynomial is proposed. The initial problem on the indicated layer is defi ned by the system of two or three ordinary diff erential equations. The Howart, Tani, and Görtler fl ows with a decreasing velocity and the fl ows whose velocity initially increases and then decreases (the Curle fl ow, the transverse fl ow around a circular cylinder, and the fl ow around a sphere) were considered. A comparative analysis of the results of calculations of these fl ows has shown that the approach proposed allows one to practically exactly determine the point of separation of the boundary layer in them
Author:  V. A. Kot
Keywords:  boundary layer, two-dimensional detached fl ows, polynomial solution, integral methods
Page:  1610