A thermal non-equilibrium approach for 2D natural convection due to lateral heat flux: Square as well as slender enclosure

Pippal, Sarita; Bera, P.

doi:10.1016/j.ijheatmasstransfer.2012.09.003

Cited by 20 publications

(8 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For example for e = 60% is the order of 17ms-1 for y = I and the order of 30ms-1 for y=1 O. The figures (8) illustrates the temperature profiles at the vertical median plane (z= 0) for Ra=10 5 , Da=10-6 , y = 1 and 10 and the deferent value (e), confirms the property situation described above. Accordingly, for greater thickness of the porous layer, the temperature gradients are well pronounced on the profiles, which reveal a totally convective situation with stratification in the cavity core.…”

Section: Resultssupporting

confidence: 82%

Study of transfer and flow in porous media in nonequilibrium

Fatma¹,

Afif²,

Oueslati³

2014

2014 International Conference on Composite Materials &Amp; Renewable Energy Applications (ICCMREA)

View full text Add to dashboard Cite

3D Natural convection in partially porous media. The Study focused on transfers and flow in porous media in nonequilibrium. Darcy-Brinkman model's is adopted. Moreover the two-equation model is used to separately account for the local fluid and solid temperatures. A numerical method based on the finite volume method a full multigrid technique is employed. We find the impact of the conductivities ratio on the flow and the heat transfer.

show abstract

Section: Resultssupporting

confidence: 82%

Study of transfer and flow in porous media in nonequilibrium

Fatma¹,

Afif²,

Oueslati³

2014

2014 International Conference on Composite Materials &Amp; Renewable Energy Applications (ICCMREA)

View full text Add to dashboard Cite

show abstract

“…Further of these studies are already classified, namely Badruddin et al (2006), Chen et al (2013), Mahmoudi and Marefat (2011), Ouyang et al (2013) and Pippal and Bera (2013).. This last study takes into consideration the existence of a local thermal non-equilibrium between the fluid phase and the solid phase of the porous medium.…”

Section: Introductionmentioning

confidence: 99%

Comparison between Two Local Thermal Non Equilibrium Criteria in Forced Convection through a Porous Channel

Abdedou

Bouhadef

2015

JAFM

View full text Add to dashboard Cite

Two criteria are used and compared to investigate the local thermal equilibrium assumption in a forced convection through a porous channel. The first criterion is based on the maximum local temperature difference between the solid and fluid phases, while the second is based on the average of the local differences between the temperature of the solid phase and the fluid phase. For this purpose, the momentum and energy equations based on the DarcyBrinkman-Forchheimer and the local thermal non equilibrium models are solved numerically using the finite volume method. The analysis focused on searching thermophysical parameters ranges which validate local thermal equilibrium hypothesis. Thus, by using the two criteria, the obtained results mainly revealed that this local thermal equilibrium assumption is verified for low thermal conductivity ratio and Reynolds number values and for high interstitial Biot number and porosity, while it is unfavorably affected by the high values of Prandtl number. However, it is also found that the parameters ranges corresponding to the local equilibrium validity depends on the selected local thermal non equilibrium criterion.

show abstract

“…A number of studies [1][2][3][11][12][13][14][15][16][17][18][19] on natural convection due to heating and cooling of sidewalls have been reported, where local thermal nonequilibrium (LTNE) models are adopted. These research works presented the detailed analyses for the effects of LTNE on natural convective heat transfer in porous enclosures.…”

Section: Introductionmentioning

confidence: 99%

“…Badruddin et al [13] medium enclosed in a square cavity using a thermal nonequilibrium model. Pippal and Bera [16] numerically investigated the influence of LTNE state between solid porous matrix and saturated fluid on natural convection in a slender enclosure. They found that, in both (local thermal equilibrium (LTE) and LTNE states, maximum heat transfer used to take place at a minimum value of aspect ratio.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Natural Convection in a Porous Cavity with Linearly Temperature Distributions Under the Local Thermal Nonequilibrium Condition

Zhou

Wang

et al. 2015

Numerical Heat Transfer, Part A: Applications

View full text Add to dashboard Cite

A numerical investigation of the natural convection heat transfer in a rectangular cavity filled with a heat-generating porous medium by adopting the local thermal nonequilibrium (LTNE) model is reported in this paper. The top and bottom walls of the enclosure are adiabatic, the left wall is linearly cooled, and the right wall is cooled by a linear or uniform temperature profile. The results show that the isotherms for the fluid and solid phases become similar with the increase of the interphase heat transfer coefficient H; the increasing heat transfer between the two phases brings their temperatures closer to each other and thus the solid and fluid phases are in a state of the thermal equilibrium at higher values of H. For case A, the interphase heat transfer coefficient has little influence on the heat transfer rate of the solid phase of the porous cavity and the heat transfer profile of the solid phase (Nu sy ) is symmetrical with respect to the center point of line Y ¼ 0.5. For case B, the interphase heat transfer coefficient H has a significant effect on that at the right wall, and the total heat transfer of the heat-generating porous cavity is implemented by the right-side wall. The total heat transfer rate Q of case B is higher than that of case A at a high thermal conductivity ratio c (c ¼ 1, 10).

show abstract

A thermal non-equilibrium approach for 2D natural convection due to lateral heat flux: Square as well as slender enclosure

Cited by 20 publications

References 41 publications

Study of transfer and flow in porous media in nonequilibrium

Study of transfer and flow in porous media in nonequilibrium

Comparison between Two Local Thermal Non Equilibrium Criteria in Forced Convection through a Porous Channel

Numerical Simulation of Natural Convection in a Porous Cavity with Linearly Temperature Distributions Under the Local Thermal Nonequilibrium Condition

Contact Info

Product

Resources

About