Numerical study on the steady state natural convection in a partially heated inclined square cavity containing adiabatic circular cylinder

Abstract

In this thesis under the title “Numerical Study on the Steady State Natural Convection in a Partially Heated Inclined Square Cavity Containing Adiabatic Circular Cylinder” two problems have been studied. The study as well depending on various locations of cylinder and boundary conditions are abstracted below. Numerical analysis of two-dimensional laminar steady state natural convection in a tilted partially heated square cavity with adiabatic circular cylinder has been investigated. An adiabatic circular cylinder is placed at the top, centre and bottom of the cavity and the opposite wall to the aperture is placed at iso-flux heat source. The top and bottom walls are adiabatic and the opposite of the heat flux wall is partially heated with temperature Th (right wall). The fluid is concerned with Prandtl numbers 0.72, 3.0 and 10.0. The properties of the fluid are assumed to be constant. The physical problems are represented mathematically by different sets of governing equations along with the corresponding boundary conditions. The obtained results are presented in terms of isotherms and streamlines, heat transfer characteristics Nusselt numbers for Rayleigh numbers from 103 to 106 and for inclination angles of the cavity from 0º to 45º. The obtained results are also presented with the variation of different diameter ratios of the cylinder. The results show that the Nusselt numbers increase with the increase of Rayleigh numbers. The computational results also indicate that the average Nusselt number at the hot wall of the cavity is depending on the dimensionless parameters.