Mixed convection in a buoyancy‐assisted two‐sided lid‐driven cavity filled with a porous medium

Abstract

Purpose -The purpose of this paper is to consider a two-dimensional, steady, mixed convection flow in an enclosure filled with a fluid-saturated uniform porous medium. The left wall is moving down and the right wall is moving up and are maintained at cold and hot constant temperatures, respectively. The top and the bottom walls are fixed and are thermally insulated. Design/methodology/approach -The governing equations are normalized and solved numerically with appropriate boundary conditions by finite-volume approach using third-order accurate scheme (deferred QUICK). Findings -The study is conducted by varying the key parameters, i.e. Richardson number (Ri ¼ Gr=Re 2 ), Darcy number (Da ¼ =H 2 ) and Grashof number (Gr ¼ gH 3 ÁT= 2 ) and fixing Prandtl number at (Pr ¼ 0:71). A parametric study is conducted and a set of streamline and isotherm plots are presented. The average Nusselt number reaches a value of 1 asymptotically when the Ri is gradually increased for Gr up to 10 3 . The asymptotic value is 1.5 for Gr ¼ 10 4 . A heat transfer correlation is also presented. Originality/value -The study of the mixed convection problem with lid-driven flows in enclosures will be useful in cooling of electronic devices, lubrication technologies, chemical processing equipment, etc.

Mixed Convection in a Two-Sided and Four-Sided Lid-Driven Square Porous Cavity

“…During the past few decades, the problem of natural or mixed convection in lid-driven square or rectangular cavity with porous media has been widely studied due to its simple geometrical settings and its practical applications [1] such as nuclear waste disposal, coal and grain storage, textile materials, geothermal systems, biological processes, and many others. Mixed convection in lid-driven square or rectangular cavity has various applications in engineering science [2], such as lubricant technology, chemical processing, cooling of microprocessors and electronic components, float glass production, etc. The lid-driven cavity in porous media whose all four walls are kept at different heat flux or temperatures has been studied by many researchers.…”

Combined Heat and Mass Transfer of Fluid Flowing through Horizontal Channel by Turbulent Forced Convection

“…is apply us in industrial domain including cooling of electronic circuit [1], thermal performance of energy efficiency [2], flow and heat transfer in solar collectors [3], lubrication technologies [4], geothermal heat exchangers [5][6][7][8] and many others. In the literature, numerous analytical models, numerical and experimental researches have done on the mixed convection heat transfer in different geometries [9,10].…”

Finite element simulations on heatline trajectories for mixed convection in porous square enclosures: Effects of various moving walls

“…Limited number of studies focused on the distributions of the fluid and heat flow fields within the enclosed porous cavity based on various motions of the horizontal [30][31][32] or vertical walls [33][34][35] or both [36]. Muthtamilselvan et al [30] studied the effect of the magnetic field during mixed convection in a square cavity filled with the fluid saturated porous medium using the finite volume method.…”

“…Vishnuvardhanarao and Das [33] investigated the momentum and energy transfer in a porous square enclosure for the moving side walls in the opposite directions. In this study, the isothermally cold left wall moves in downward direction and the isothermally hot right wall moves in the upward direction whereas the horizontal adiabatic walls are maintained stationary.…”

“…It was concluded that, with the increase in Richardson number (1 ≤ Ri ≤ 10 2 ), the average Nusselt number approaches to one asymptotically, for 10 3 ≤ Gr ≤ 10 4 . Vishnuvardhanarao and Das [34] further studied mixed convection flow in the porous square cavity for the upward moving left wall, downward moving right wall and fixed horizontal walls with identical thermal boundary conditions as mentioned in the earlier work [33]. Benmalek and Souidi [35] investigated the heat and mass transfer in a square enclosure filled with the fluid saturated porous media for the upward moving hot left wall, downward moving cold right wall and adiabatic horizontal walls.…”