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.
