Natural convection in partially cooled tilted cavities

Abstract

Two‐dimensional numerical simulations of laminar natural convection in a partially cooled, differentially heated inclined cavities are performed. One of the cavity walls is entirely heated to a uniformly high temperature (heat source) while the opposite wall is partially cooled to a lower temperature (heat sink). The remaining walls are adiabatic. The tilt angle of the cavity is varied from 0° (heated from left) to −90° (heated from top). The fast false implicit transient scheme (FITS) algorithm, developed earlier by the same authors, is modified to solve the derived variables vorticity‐streamfunction formulation. The effects of aspect ratio (AR), sink–source ratio and tilt angle on the average Nusselt number are examined through a parametric study; solutions are obtained for two Grashof numbers, 105 and 107. Flow patterns and isotherms are used to investigate the heat transfer and fluid flow mechanisms inside the cavity. © 1998 John Wiley & Sons, Ltd.

Natural convection in right-angle porous trapezoidal enclosure partially cooled from inclined wall

“…However, to our best knowledge, partially cooled right-angle trapezoidal enclosure has not been considered yet. The application of partially cooled boundary condition can be found in the papers by El-Refaee et al [27] and Oztop [28]. Thus, the main objective of this paper is to examine the natural convection in a right-angle cavity filled with a porous medium and which is partially cooled from the inclined wall.…”

Natural convection in partially cooled and inclined porous rectangular enclosures

“…However, their values are decreased as aspect ratio increased. Computational results of Prasad and Kulacki [22] for partially heated from the bottom wall support this observation. Because, heat source is loosed more and more energy when the end walls are moved away from the leading edge of the heated segment.…”

“…They showed that a plume-like flow occurs above the heated region with the increasing of Rayleigh number. El-Refaee et al [22] applied the fast false implicit transient scheme (FITS) algorithm to simulate natural convection in a tilted and partially cooled rectangular enclosure filled with non-porous medium. Their results show that both aspect ratio and inclination angle have significant effect on natural convection heat transfer.…”

Numerical Simulation of Natural Convection in a Partially Cooled Square Enclosure Filled With Porous Medium

“…It is found that inclination angle is the dominant parameter on heat transfer and fluid motion. El-refaee et al [19] studied the laminar natural convection in partially cooled tilted cavities. They concluded that the effects of aspect ratio and tilt angle on the rate of heat transfer becomes less significant with smaller values of opening ratio.…”