ON THE STEADY AND UNSTEADY ASPECTS OF COMBINED SORET EFFECT AND DOUBLE-DIFFUSIVE CONVECTION IN A BENARD SQUARE CAVITY SUBMITTED TO A HORIZONTAL GRADIENT OF CONCENTRATION

被引：1

作者：

Lamsaadi, M. ^{[1
]}

Naimi, M. ^{[2
]}

El Harfi, H. ^{[2
]}

Raji, A. ^{[2
]}

Hasnaoui, M. ^{[3
]}

机构：

[1] Sultan Moulay Slimane Univ, Polydisciplinary Fac, Interdisciplinary Lab Res Sci & Technol LIRST, Beni Mellal, Morocco

[2] Sultan Moulay Slimane Univ, Fac Sci & Technol, Phys Dept, Lab Flows & Transfers Modeling LAMET, BP 523, Beni Mellal, Morocco

[3] Cadi Ayyad Univ, Fac Sci Semlalia, Phys Dept, Lab Fluid Mech & Energet LMFE, Marrakech, Morocco

来源：

COMPUTATIONAL THERMAL SCIENCES | 2013年 / 5卷 / 01期

关键词：

double diffusion; heat transfer; mass transfer; multiple solutions; numerical study; square cavity; Soret effect;

D O I：

10.1615/ComputThermalScien.2012004125

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this paper, a numerical study of the incidence of Soret effect on double-diffusive convection in a Benard square cavity submitted to a horizontal gradient of concentration is presented. The computations, which are limited to water-based solutions, are carried out for governing parameters; namely, the Lewis number, Le; Soret parameter, M; buoyancy ratio, N; Prandtl number, Pr; and thermal Rayleigh number, Ra-T; such that Le = 10, -111 <= M <= 122, -0.1 <= N <= 0.1, Pr = 7, and 5 x 10(4) <= Ra-T <= 5 <= 10(5). In such a situation it is possible to discover a wide variety of steady-state solutions that are stable up to a threshold value of M. The effect of M on the flow, temperature, and concentration fields and the resulting heat and mass transfers are analysed for given values of N and Ra-T. It is demonstrated that the heat and mass transfers could change significantly from one solution to another, depending on M. Moreover, particular attention is paid to the oscillatory behavior of the convection that appears for M in the ranges M < -50.2 (for vertical bicellular flow) and M < -23.8 (for horizontal bicellular flow) and at specific values of N and Ra-T.

引用

页码：43 / 61

页数：19

共 29 条

[1]

Alex S.M., Patil P.R., Effect of variable gravity field on Soret driven thermosolutal convection in a porous medium, Int. Commun. Heat Mass Transfer, 28, 4, pp. 509-518, (2001)

[2]

Amahmid A., Hasnaoui M., Mamou M., Vasseur P., Boundary layer flows in a vertical porous enclosure induced by opposing buoyancy forces, Int. J. Heat Mass Transfer, 42, pp. 3599-3608, (1999)

[3]

Bahloul A., Boutana N., Vasseur P., Double-diffusive and Soret-induced convection in a shallow horizontal porous layer, J. Fluid Mech., 491, pp. 325-352, (2003)

[4]

Belazizia A., Benissaad S., Abboudi S., Double diffusion natural convection of binary fluid in a square enclosure with top active vertical wall, Adv. Theor. Appl. Mech., 5, 1-4, pp. 119-131, (2012)

[5]

Benano-Melly L.B., Caltagirone J.P., Faissat B., Montel F., Costeseque P., Modeling Soret coefficient measurement experiments in porous media considering thermal and solutal convection, Int. J. Heat Mass Transfer, 44, pp. 1285-1297, (2001)

[6]

Bennacer R., Mahidjiba A., Vasseur P., Beji H., Duval R., The Soret effect on convection in a horizontal porous domain under cross temperature and concentration gradients, Int. J. Numer. Methods Heat Fluid Flow, 13, 2, pp. 199-215, (2003)

[7]

Bourich M., Hasnaoui M., Amahmid A., Mamou M., Soret driven thermosolutal convection in a shallow porous enclosure, Int. Commun. Heat Mass Transfer, 29, 5, pp. 717-728, (2002)

[8]

Bourich M., Hasnaoui M., Mamou M., Amahmid A., Soret effect inducing subcritical and Hopf bifurcations in a shallow enclosure filled with a clear binary fluid or a saturated porous medium: A comparative study, Phys. Fluids, 16, 3, pp. 551-568, (2004)

[9]

Bourich M., Hasnaoui M., Amahmid A., Mamou M., Soret convection in a shallow porous cavity submitted to uniform fluxes of heat and mass, Int. Commun. Heat Mass Transfer, 31, pp. 773-782, (2004)

[10]

Bourich M., Amahmid A., Hasnaoui M., Double diffusive convection in a porous enclosure submitted to cross gradients of temperature and concentration, Energy Convers. Manage., 45, pp. 1655-1670, (2004)

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