Numerical Analysis of Heat Transfer and Entropy Generation for Natural Convection in a Quadrantal Cavity with Non-uniform Heating at the Bottom Wall

Dutta, Susanta; Biswas, Ashis; Pati, Sukumar

doi:10.1007/978-3-319-96968-8_23

Cited by 2 publications

(1 citation statement)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The heat transfer characteristics on free convection in quadrantal enclosure with finned vertical wall have also been studied (Bose et al , 2013). Recently, Dutta et al (2019a, 2019b) analyzed thermal transport and irreversibility characteristics in a quadrantal enclosure with non-linear heating of bottom wall. The buoyancy induced heat transfer and irreversibility in a porous quadrantal cavity with non-isothermal heating at the bottom wall have been analyzed recently (Dutta et al , 2018; Dutta and Biswas, 2018).…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis of natural convection heat transfer and entropy generation in a porous quadrantal cavity

Dutta

Biswas

Pati

2019

HFF

Self Cite

View full text Add to dashboard Cite

Purpose The purpose of this paper is to analyze the natural convection heat transfer and irreversibility characteristics in a quadrantal porous cavity subjected to uniform temperature heating from the bottom wall. Design/methodology/approach Brinkmann-extended Darcy model is used to simulate the momentum transfer in the porous medium. The Boussinesq approximation is invoked to account for the variation in density arising out of the temperature differential for the porous quadrantal enclosure subjected to uniform heating on the bottom wall. The governing transport equations are solved using the finite element method. A parametric study is carried out for the Rayleigh number (Ra) in the range of 103 to 106 and Darcy number (Da) in the range of 10−5-10−2. Findings A complex interaction between the buoyant and viscous forces that govern the transport of heat and entropy generation and the permeability of the porous medium plays a significant role on the same. The effect of Da is almost insignificant in dictating the heat transfer for low values of Ra (103, 104), while there is a significant alteration in Nusselt number for Ra ≥105 and moreover, the change is more intense for larger values of Da. For lower values of Ra (≤104), the main contributor of irreversibility is the thermal irreversibility irrespective of all values of Da. However, the fluid friction irreversibility is the dominant player at higher values of Ra (=106) and Da (=10−2). Practical implications From an industrial point of view, the present study will have applications in micro-electronic devices, building systems with complex geometries, solar collectors, electric machinery and lubrication systems. Originality/value This research examines numerically the buoyancy driven heat transfer irreversibility in a quadrantal porous enclosure that is subjected to uniform temperature heating from the bottom wall, that was not investigated in the literature before.

show abstract