Numerical modeling of natural convection in cavity with H-form containing two adiabatic obstacles

Abstract

This paper addresses the problem of natural convection in H-Form cavity with differentially heated side walls having two circular adiabatic obstacles. To achieve accurate solutions of the equations system defining this study, the computational methods are founded on the finite element method (FEM). Numerical illustrations have been carried out and discussed for several Rayleigh numbers from 10 to 106. We show the impact of Rayleigh number as a crucial parameter on both the heat transfer and the fluid flow. We deduce an important finding with H-Form cavity, the Rayleigh number hasn't a strong effect on both the characteristics of the fluid flow and the temperature distribution for the values ranging from 10 to 104, unlike the case of square cavity. However, its effect starts to appear from Ra = 105. The achieved results are discussed and compared with preceding works in the literature to show their effectiveness.