On the Analytical Determination of the Contour of Well - Styeamlined Bodies

Abstract

The problem is solved with the help of a modified Prandtl equation applied to the case under study. This is a two-dimensional problem of flowing around a flat body when the essential factor is to take into account the limitation of its dimensions in the longitudinal and transverse directions. Thanks to the above Prandtl equation it was possible to reduce the problem to a self-similar equation. An analytical solution has been found. Thanks to this solution the shape of the body is analytically determined when the resistance is at its lowest. An analysis of the solution of the problem for different Reynolds numbers is carried out. The resulting equation is solved numerically for different values of its included parameters. With the help of a graphic illustration the different shapes of such contours are shown.