ISSN Online: 2377-424X
ISBN Print: 0-89116-299-2
International Heat Transfer Conference 7
ON AN INTEGRAL METHOD APPLIED TO THE RESOLUTION OF CERTAIN PROBLEMS IN FLUID MECHANICS (NATURAL CONVECTION WITH OR WITHOUT VOLUMETRIC HEAT SOURCE)
Abstract
An original method of formally solving some fluid flow problems is proposed. The method is based on the transformation of the partial differential system into an integral system. It can be applied to geometries where the Helmholtz equation has been solved and where nonlinear terms are not predominant. It is proved that the solution series converge uniformly for many cases. Applications show that this convergence is rapid.