CRITERIONS AND VALIDITY CONDITIONS OF A FLUID FLOW OR A HOT TRANSFER REGIME

Abstract

In this paper there are studied two kinds of problems about a fluid flow or a hot transfer regime. The first problem refers to a parabolic type of a laminar or viscous fluid flow or a hot transfer in a plane or cylindrical domain. It is considered an inverse problem: knowing the data on the boundary of the domain, a method to find the viscosity coefficient or the hot transfer coefficient is given. The best numerical results may be obtained when the number of measurements is increased. The second problem refers to the free boundary flow in the presence of a curvilinear symmetrical obstacle. There are considered the Helmholtz problem when the fluid is unlimited and the Retki – Jacob scheme when a jet of fluid is forked by a symmetrical obstacle. The problems where studied using singular integral equations and the shapes of the maximal drag obstacle are obtained.