Investigation of heat transfer in irregular porous cavity subjected to various boundary conditions

Abstract

Purpose The purpose of this paper is to investigate the heat transfer in an arbitrary cavity filled with porous medium. The geometry of the cavity is such that an isothermal heating source is placed centrally at the bottom of the cavity. The height and width of the heating source is varied to analyses its effect on the heat transfer characteristics. The investigation is carried out for three different cases of outer boundary conditions such as two outside vertical walls being maintained at cold temperature To, two vertical and top horizontal surface being heated to. To and the third case with top surface kept at To but other surfaces being adiabatic. Design/methodology/approach Finite element method is used to solve the governing equations. Findings It is observed that the cavity exhibits unique heat transfer behavior as compared to regular cavity. The cases of boundary conditions are found to affect the heat transfer rate in the porous cavity. Originality/value This is original work representing the heat transfer in irregular porous cavity with various boundary conditions. This work is neither being published nor under review in any other journal.

Numerical investigation of mixed convection of non‐Newtonian fluid in a vented square cavity with fixed baffle

“…Reports on the natural convective flow of a nanofluid in square cavities incorporated with fins abound in literature, see references 20–27 . The influence of fins on mixed convective flow in a wavy‐wall enclosure containing nanofluid was detailed in conducted by Fayz‐Al‐Asad and colleagues 28,29 .…”

“…Reports on the natural convective flow of a nanofluid in square cavities incorporated with fins abound in literature, see references. [20][21][22][23][24][25][26][27] The influence of fins on mixed convective flow in a wavywall enclosure containing nanofluid was detailed in conducted by Fayz-Al-Asad and colleagues. 28,29 Moreover, some of the latest studies conducted on mixed convective heat transfer in open cavities using nanofluid as the working fluid are reported in Mahmoudi and colleagues.…”

Role of curved walls on efficient thermal convection in porous beds confined within enclosures: heatline and entropy production maps

“…Steady convection within porous bed confined in various enclosures is induced via various wall heating. A few earlier works demonstrate various thermal boundary conditions involving various patterns of wall heating and/or heating via discrete heaters (Nandalur et al , 2019; Badruddin, 2019; Janagi et al , 2017; Rees, 2020; Micula and Pop, 2020; Das et al , 2016, 2018, 2019; Lukose and Basak, 2020; Rao and Barman, 2021; Cheong et al , 2017). The isothermal heating at the wall(s) is maintained via phase change materials (PCM) and the practical implementation with schematics was elaborated in an earlier work (Biswal and Basak, 2016).…”

Heat Transfer and Entropy in a Vertical Porous Plate Subjected to Suction Velocity and MHD

“…Radiation can also have a significant effect on heat transfer with regard to the porous medium. The radiation term is generally introduced using the Rosseland approximation theory, and further simplified by adopting Taylor's series [16][17][18][19]. Radiation is found to enhance the heat transfer rate from the heating source to the adjacent medium, as reported in many studies [20][21][22][23][24].…”