Conjugate natural convection in a square porous cavity

Baytaş, A. Cihat; Liaqat, A.; Groşan, Teodor; Pop, I.

doi:10.1007/pl00013297

Cited by 58 publications

(32 citation statements)

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“…Chang and Lin (1994b) also studied the effect of wall heat conduction on natural convection in an enclosure filled with a non-Darcian porous medium. Baytas et al (2001) gave a numerical analysis in a square porous enclosure bounded by two horizontal conductive walls. Later, Saeid (2007a) studied conjugate natural convection in a square porous enclosure with two equal-thickness walls.…”

Section: Introductionmentioning

confidence: 99%

Effect of Conduction in Bottom Wall on Darcy–Bénard Convection in a Porous Enclosure

et al. 2011

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Conjugate natural convection-conduction heat transfer in a square porous enclosure with a finite-wall thickness is studied numerically in this article. The bottom wall is heated and the upper wall is cooled while the verticals walls are kept adiabatic. The Darcy model is used in the mathematical formulation for the porous layer and the COMSOL Multiphysics software is applied to solve the dimensionless governing equations. The governing parameters considered are the Rayleigh number (100 ≤ Ra ≤ 1000), the wall to porous thermal conductivity ratio (0.44 ≤ K r ≤ 9.90) and the ratio of wall thickness to its height (0.02 ≤ D ≤ 0.4). The results are presented to show the effect of these parameters on the heat transfer and fluid flow characteristics. It is found that the number of contrarotative cells and the strength circulation of each cell can be controlled by the thickness of the bottom wall, the thermal conductivity ratio and the Rayleigh number. It is also observed that increasing either the Rayleigh number or the thermal conductivity ratio or both, and decreasing the thickness of the bounded wall can increase the average Nusselt number for the porous enclosure.

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Section: Introductionmentioning

confidence: 99%

Effect of Conduction in Bottom Wall on Darcy–Bénard Convection in a Porous Enclosure

et al. 2011

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“…The results showed that the overall heat transfer rate from the hot side to cold side of the enclosure decreased due to the heat conduction on the wall. Baytas et al [12] studied numerically, the effects of conjugate heat convection in a square porous cavity bounded by two horizontal conductive finite thickness walls, and two vertical walls at different uniform temperatures. They concluded that, for large values of the conductivity ratio, the flow characteristics were significantly influenced due to the strong coupling effects between fluid-saturated porous medium and the solid walls.…”

Section: Introductionmentioning

confidence: 99%

Numerical investigation of conjugate natural convection heat transfer in a square porous cavity heated partially from left sidewall

Al‐Farhany¹,

Abdulkadhim²

2018

IJHT

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The conjugate natural convection heat transfer in a partially heated square porous enclosure had been studied numerically. The governing dimensionless equations are solved using COMSOL Multiphysics and Darcy model assumed to be used. The considering dimensionless parameters are modified Rayleigh number, finite wall thickness, thermal conductivity ratio and the heat source length. The results are presented in terms of streamlines, isotherms and local and average Nusselt number. The results indicate that; the heat transfer can be enhanced by increasing the modified Rayleigh number. When the heat source length increases, the local Nusselt number of fluid phase increases, while, a reverse behavior of the local Nusselt number along the heat source is found. As the Rayleigh number increase, the local Nusselt number for both fluid and solid phase increases, therefore, the heat transfer rate will be enhanced. On the other hand, when the thermal conductivity ratio increase, the local Nusselt number for the fluid phase increases, and the local Nusselt number along the heated wall decreases.

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“…There is some research that deals with the assessment of the temperature and velocity fields for the vertical fully developed flow without considering the effect of thermal radiation [5,6], but heat transfer by simultaneous radiation and convection is important in various cases including combustion flows [7], furnaces [8], high-temperature reactors [9] and heat exchangers [10], combustion [11], solar energy [12], thermal radiative loading [13], and many others [14][15][16]. In addition, the significance of radiative heat transfer is found in the industrial processes and magnetohydrodynamic (MHD) flow [17].…”

Section: Introductionmentioning

confidence: 99%

Optimal Design of Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel with Slip Boundary Conditions and Thermal Radiation Effects by Using an Entropy Generation Minimization Method

Jamalabadi

Park

Lee

2015

Entropy

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Abstract:Investigation of the effect of thermal radiation on a fully developed magnetohydrodynamic (MHD) convective flow of a Newtonian, incompressible and electrically conducting fluid in a vertical microchannel bounded by two infinite vertical parallel plates with constant temperature walls through a lateral magnetic field of uniform strength is presented. The Rosseland model for the conduction radiation heat transfer in an absorbing medium and two plates with slip-flow and no-slip conditions are assumed. In addition, the induced magnetic field is neglected due to the assumption of a small magnetic Reynolds number. The non-dimensional governing equations are solved numerically using Runge-Kutta-Fehlberg method with a shooting technique. The channel is optimized based on the Second Law of Thermodynamics by changing various parameters such as the thermal radiation parameter, the temperature parameter, Hartmann number, Grashof to Reynolds ratio, velocity slip length, and temperature jump.

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Conjugate natural convection in a square porous cavity

Cited by 58 publications

References 0 publications

Effect of Conduction in Bottom Wall on Darcy–Bénard Convection in a Porous Enclosure

Effect of Conduction in Bottom Wall on Darcy–Bénard Convection in a Porous Enclosure

Numerical investigation of conjugate natural convection heat transfer in a square porous cavity heated partially from left sidewall

Optimal Design of Magnetohydrodynamic Mixed Convection Flow in a Vertical Channel with Slip Boundary Conditions and Thermal Radiation Effects by Using an Entropy Generation Minimization Method

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