Mathematical Study Approach of an Axisymmetric Flow of Stationnary Navier-Stokes Fluid Coupled with the Energy Equation

Abstract

The physics-mathematical modeling of the different processes involved in this technical device has been the subject of intense studies by the specialized scientific community for several decades. We are interested in the mathematical study of a system of stationary Navier-Stokes equations coupled with the energy equation in a bounded domain in   . The proposed system could simulate the flow of a fluid in a solar collector. Under certain conditions of the problem's parameters, we show that the weak solution of the variational problem exists and is unique in an appropriate weighted Sobolev space.