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Effects of thermal boundary conditions, surface radiation andaspect ratio on thermal performance in “T” shallow cavity

Published online by Cambridge University Press:  21 November 2014

Adel Sahi ,
Djamel Sadaoui ,
Bachir Meziani  and
Kacem Mansouri
Adel Sahi
Affiliation:
Laboratoire de Mécanique, Matériaux et Energétique (L2ME), Faculté de Technologie, Université A. Mira de Bejaia, 06000 Bejaia, Algérie
Djamel Sadaoui
Affiliation:
Laboratoire de Mécanique, Matériaux et Energétique (L2ME), Faculté de Technologie, Université A. Mira de Bejaia, 06000 Bejaia, Algérie
Bachir Meziani*
Affiliation:
Laboratoire de Physique Théorique (LPT), Faculté des sciences, Université A. Mira de Bejaia, 06000 Bejaia, Algérie
Kacem Mansouri
Affiliation:
Laboratoire Energétique, Mécanique et Ingénieurie (LEMI), Université B. Bouguerra de Boumerdes, 35000 Boumerdes, Algérie
*
a Corresponding author:bachir.meziani@univ-bejaia.dz
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Abstract

The main objective of this article is to study the effect of 2D coupled mode freeconvection with surface radiation on the fluid flow behavior in an air filled partitionedand shallow cavity subjected to isothermal or insulated boundary conditions. Thedimensionless governing equations under Boussinesq approximation are coupled with aradiative model through the boundaries conditions and solved by the finite volume method.The numerical results are discussed in terms of streamlines, isotherms, convective andradiative Nusselt numbers along the cover plate for various aspect ratios (a, b and c), emissivities andRayleigh number. These results highlighted the condition of the enclosure performance andrevealed among other that isothermal boundaries induce better convective heat exchangecompared to adiabatic cases. Also, it is noticed that varying aspect ratio(a) causesstrong influence on both Nusselt numbers compared to the aspect ratios (b) and (c). The increase of(ϵo) raisesNuconvand decreases Nuradslightly. Whereas, an increase of (ϵC) leads to minorchanges in Nuradwhen (b) or(c) vary,this effect becomes appreciable with increasing (a).

Keywords

Free convectionsurface radiationisothermal boundaryinsulated boundaryNusselt number
Type
Research Article
Information
Mechanics & Industry , Volume 15 , Issue 6 , 2014 , pp. 557 - 568
Copyright
© AFM, EDP Sciences 2014

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References

Paolucci, S., Chenoweth, D., Natural convection in shallow enclosures with differentially heated end walls, J. Heat Transfer 110 (1988) 625–634 CrossRefGoogle Scholar
Drummond, J., Korpela, S., Natural convection in a shallow cavity, J. Fluid Mech. 182 (1987) 543–564 CrossRefGoogle Scholar
Roy, S., Basak, T., Finite element analysis of natural convection flows in a square cavity with non-uniformly heated wall(s), Int. J. Eng. Sci. 43 (2005) 668–680 CrossRefGoogle Scholar
Jin, L.F., Tou, K.W., Tso, C.P., Effects of rotation on natural convection cooling from three rows of heat sources in a rectangular cavity, Int. J. Heat Mass Transfer 48 (2005) 3982–3994 CrossRefGoogle Scholar
Basak, T., Roy, S., Amit Singh, B. Pandey, Natural convection flow simulation for various angles in a trapezoidal enclosure with linearly heated side wall(s), Int. J. Heat Mass Transfer 52 (2009) 4413–4425 CrossRefGoogle Scholar
Kaluri, R.S., Anandalakshmi, R., Basak, T., Bejan’s heatline analysis of natural convection in right-angled triangular enclosures, Effects of aspect-ratio and thermal boundary conditions, Int. J. Thermal Sci. 49 (2010) 1576–1592 CrossRefGoogle Scholar
Saha, S.C., Patterson, J.C., Lei, C., Natural convection boundary-layer adjacent to an inclined flat plate subject to sudden and ramp heating, Int. J. Thermal Sci. 49 (2010) 1600–1612 CrossRefGoogle Scholar
Chen, C.L., Cheng, C.H., Numerical predictions of natural convection with liquid fluids contained in an inclined arc-shaped enclosure, Int. Commun. Heat Mass Transfer 39 (2012) 209–215 CrossRefGoogle Scholar
Mahmud, S., Das, P.K., Hyder, N., A.K.M. Sadrul Islam, Free convection in an enclosure with vertical wavy walls, Int. J. Thermal Sci. 41 (2002) 440–446 CrossRefGoogle Scholar
Mahmud, S., Das, P.K., Hyder, N., A.K.M. Sadrul Islam, Laminar free convection and entropy generation inside an inclined wavy enclosure, Int. J. Thermal Sci. 42 (2003) 1003–1012 CrossRefGoogle Scholar
Das, P.K., Mahmud, S., Numerical investigation of natural convection inside a wavy enclosure, Int. J. Thermal Sci. 42 (2003) 397–406 CrossRefGoogle Scholar
Dalal, A., Das, M.K., Laminar natural convection in an inclined complicated cavity with spatially variable wall temperature, Int. J. Heat Mass Transfer 48 (2005) 2986–3007 CrossRefGoogle Scholar
Ridouane, E.H., Campo, A., Free convection performance of circular cavities having two active curved vertical sides and two inactive curved horizontal sides, Appl. Thermal Eng. 26 (2006) 2409–2416 CrossRefGoogle Scholar
Adjlout, L., Imine, O., Azzi, A., Belkadi, M., Laminar natural convection in an inclined cavity with a wavy wall, Int. J. Heat Mass Transfer 45 (2002) 2141–2152 CrossRefGoogle Scholar
Aounallah, M., Addad, Y., Benhamadouche, S., Imine, O., Adjlout, L., Laurence, D., Numerical investigation of turbulent natural convection in an inclined square cavity with a hot wavy wall, Int. J. Heat Mass Transfer 50 (2007) 1683–1693 CrossRefGoogle Scholar
Saha, S., Sultana, T., Saha, G., Rahman, M.M., Effects of discrete isoflux heat source size and angle of inclination on natural convection heat transfer flow inside a sinusoidal corrugated enclosure, Int. Commun. Heat Mass Transfer 35 (2008) 1288–1296 CrossRefGoogle Scholar
Hussain, S.H., Jabbar, M.Y., Mohamad, A.S., Influence of presence of inclined centered baffle and corrugation frequency on natural convection heat transfer flow of air inside a square enclosure with corrugated side walls, Int. J. Thermal Sci. 50 (2011) 1799–1808 CrossRefGoogle Scholar
Mahmoud, M.A., Ben-Nakhi, A.E., Neural networks analysis of free laminar convection heat transfer in a partitioned enclosure, Commun. Nonlin. Sci. Numer. Simul. 12 (2007) 1265–1276 CrossRefGoogle Scholar
Bakkas, M., Hasnaoui, M., Amahmid, A., Natural convective flows in a horizontal channel provided with heating isothermal blocks: Effect of the inter blocks spacing, Energy Conversion and Management 51 (2010) 296–304 CrossRefGoogle Scholar
Gao, W., Lin, W., Liu, T., Xia, C., Analytical and experimental studies on the thermal performance of cross-corrugated and flat-plate solar air heaters, Appl. Energy 84 (2007) 425–441 CrossRefGoogle Scholar
Varol, Y., Oztop, H.F., Free convection in a shallow wavy enclosure, Int. Commun. Heat Mass Transfer 33 (2006) 764–771. CrossRefGoogle Scholar
Varol, Y., Oztop, H.F., A comparative numerical study on natural convection in inclined wavy and flat-plate solar collectors, Building and Environment 43 (2008) 1535–1544 CrossRefGoogle Scholar
Chen, C., Cheng, C., Predictions of buoyancy-induced flow in various across-shape concave enclosures, Int. Commun. Heat Mass Transfer 38 (2011) 442–448 CrossRefGoogle Scholar
Greig, D., Siddiqui, K., Karava, P., An experimental investigation of the flow structure over a corrugated waveformin a transpired air collector, Int. J. Heat Fluid Flow 38 (2012) 133–144 CrossRefGoogle Scholar
Nasrin, R., Parvin, S., Alim, M.A., Effect of Prandtl number on free convection in a solar collector filled with nanofluid, Proc. Eng. 56 (2013) 54–62 CrossRefGoogle Scholar
Ferahta, F.Z., Bougoul, S., Ababsa, D., Abid, C., Numerical Study of the Convection in the Air Gap of a Solar Collector, Energy Proc. 6 (2011) 176–184 CrossRefGoogle Scholar
Greig, D., Siddiqui, K., Karava, P., The influence of surface heating on the flow dynamics within a transpired air collector, Int. J. Heat Mass Transfer 56 (2013) 390–402 CrossRefGoogle Scholar
Huang, P.-C., Chen, C.-C., Hwang, H.-Y., Thermal enhancement in a flat-plate solar water collector by flow pulsation, and metal-foam blocks, Int. J. Heat Mass Transfer 61 (2013) 696–720 CrossRefGoogle Scholar
Balaji, C., Venkateshan, S.P., Interaction of surface radiation with free convection in a square cavity, Int. J. Heat Fluid Flow 14 (1993) 260–267 CrossRefGoogle Scholar
Balaji, C., Venkateshan, S., Correlations for free convection and surface radiation in a square cavity, Int. J. Heat Fluid Flow 15 (1994) 249–251 CrossRefGoogle Scholar
Kuyper, R.A., Van, T.H.H., Meer, D., Hoogendoorn, C.J., Henkes, R.A.W., Numerical study of laminar and turbulent natural convection in an inclined square cavity, Int. J. Heat Mass Transfer 36 (1993) 2899–2911 CrossRefGoogle Scholar
Akiyama, M., Chong, Q.P., Numerical analysis of natural convection with surface radiation in a square enclosure, Numer. Heat Transfer Part A 31 (1997) 419–433 CrossRefGoogle Scholar
Ramesh, N., Venkateshan, S., Effect of surface radiation on natural convection in a square enclosure, J. Thermophys. Heat Transfer 13 (1999) 299–301 CrossRefGoogle Scholar
Desrayaud, G., Lauriat, G., A numerical study of natural convection in partially open enclosures with a conducting side-wall, Transfer ASME J. Heat Transfer 126 (2004) 76–83 CrossRefGoogle Scholar
Sing, S.N., Venkateshan, S.P., Numerical study of natural convection with surface radiation in side vented open cavities, Int. J. Therm. Sci. 43 (2004) 865–876 CrossRefGoogle Scholar
Wang, H., Xin, S., P. Le Quéré, Étude numérique du couplage de la convection naturelle avec le rayonnement de surfaces en cavité carrée remplie d’air, C. R. Acad. Sci. Mécanique 334 (2006) 48–57 CrossRefGoogle Scholar
Mezrhab, A., Jami, M., Bouzidi, M., Lallemand, P., Analysis of radiation-natural convection in a divided enclosure using lattice Boltzmann method, Computers and Fluids 36 (2007) 423–434 CrossRefGoogle Scholar
Alvarado, R., Xamán, J., Hinojosa, J., Álvarez, G., Interaction between natural convection and surface thermal radiation in tilted slender cavities, Int. J. Thermal Sci. 47 (2008) 355–368 CrossRefGoogle Scholar
Rabhi, M., Bouali, H., Mezrhab, A., Radiation natural convection heat transfer in inclined rectangular enclosures with multiple partitions, Energy Conversion and Management 49 (2008) 1228–1236 CrossRefGoogle Scholar
Kuznetsov, G.V., Sheremet, M.A., Conjugate natural convection with radiation in an enclosure, Int. J. Heat Mass Transfer 52 (2009) 2215–2223 CrossRefGoogle Scholar
Nouanegue, H.F., Muftuoglu, A., Bilgen, E., Heat transfer by natural convection, conduction and radiation in an inclined square enclosure bounded with a solid wall, Int. J. Thermal Sci. 48 (2009) 871–880 CrossRefGoogle Scholar
Mondal, B., Li, X., Effect of volumetric radiation on natural convection in a square cavity using lattice Boltzmann method with non-uniform lattices, Int. J. Heat Mass Transfer 53 (2010) 4935–4948 CrossRefGoogle Scholar
Vivek, V., Anil Kumar Sharma, C. Balaji, Interaction effects between laminar natural convection and surface radiation in tilted square and shallow enclosures, Int. J. Therm. Sci. 60 (2012) 70–84 CrossRefGoogle Scholar
Li, R., Bousetta, M., Chénier, E., Lauriat, G., Effect of surface radiation on natural convective flows and onset of flow reversal in asymmetrically heated vertical channels, Int. J. Therm. Sci. 65 (2013) 9–27 CrossRefGoogle Scholar
H.C. Hottel, A.F. Saroffim, Radiative Heat Transfer, Mc Graw Hill, New York, 1967
S.V. Patankar, Numerical Heat Transfer and Fluid Flow, Hemisphere Publishing, New York, 1980