Natural convection in a cavity filled with porous layers on the top and bottom walls

Transport in Porous Media

Volumn 78, Issue 2, 2009, Pages 259-276

  Chen, X B ^a   Yu, P ^a   Sui, Y ^a   Winoto, S H ^a   Low, H T ^a  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

Author keywords

Interfacial boundary condition; Natural convection; Porous square cavity; Porous fluid domains; Stress jump

Indexed keywords

BOTTOM WALL; COLD WALL; DARCY NUMBER; DARCY-RAYLEIGH NUMBER; EXTENDED MODEL; FLOW BOUNDARY CONDITIONS; FLOW CONFIGURATIONS; INERTIAL EFFECT; INTERFACIAL BOUNDARY CONDITION; INTERFACIAL STRESS; NORMAL STRESS; POROUS LAYERS; POROUS MEDIUM; POROUS SQUARE CAVITY; POROUS-FLUID INTERFACE; POROUS/FLUID DOMAINS; RAYLEIGH NUMBER; SIMPLEC; SQUARE CAVITY; STRESS JUMP; TEMPERATURE PROFILES; THERMAL BOUNDARY CONDITIONS;

ATMOSPHERIC TEMPERATURE; BOUNDARY CONDITIONS; FLOW PATTERNS; HEAT EXCHANGERS; NUSSELT NUMBER; POROUS MATERIALS;

NATURAL CONVECTION;

BOUNDARY CONDITION; CAVITY; CONVECTION; DARCY LAW; FLOW MODELING; HEAT FLUX; HEAT TRANSFER; POROSITY; POROUS MEDIUM; RAYLEIGH NUMBER; SHEAR STRESS; TEMPERATURE; WALL;

EID: 67649541020     PISSN: 01693913     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11242-008-9300-2     Document Type: Article

References (32)

1. Al-Nimr M.A., Alkam M.K.: Unsteady non-Darcian forced convection analysis in an annulus partially filled with a porous material. J. Heat Transf. 119, 799-804 (1997). doi: 10.1115/1.2824185
2. Beckermann C., Ramadhyani S., Viskanta R.: Natural convection flow and heat transfer between a fluid layer and a porous layer inside a rectangular enclosure. J. Heat Transfer 109, 363-370 (1987)
3. Bennacer R., Beji H., Mohamad A.A.: Double diffusive convection in a vertical enclosure inserted with two saturated porous layers confining a fluid layer. Int. J. Therm. Sci. 42, 141-151 (2003). doi: 10.1016/ S1290-0729(02)00014-5
4. Chen X.B., Yu P., Winoto S.H., Low H.T.: Free convection in a porous wavy cavity based on the Darcy-Brinkman-Forchheimer extended model. Numer. Heat Transf. Part A Appl. 52, 377-397 (2007). doi: 10.1080/ 10407780701301595
5. Chen X.B., Yu P., Winoto S.H., Low H.T.: A numerical method for forced convection in porous and homogeneous fluid domains coupled at interface by stress jump. Int. J. Numer. Methods Fluids 56, 1705-1729 (2008a). doi: 10.1002/fld.1575
6. Chen X.B., Yu P., Winoto S.H., Low H.T.: Forced convection over a backward facing step with a porous floor segment. Numer. Heat Transf. Part A Appl. 53, 1211-1230 (2008b). doi: 10.1080/10407780701852852
7. de Vahl Davis G.: Natural convection of Air in a square cavity: a bench mark numercal solution. Int. J. Numer. Methods Fluids 3, 249-264 (1983). doi: 10.1002/fld.1650030305
8. Famouri M., Hooman K.: Entropy generation for natural convection by heated partitions in a cavity. Int. Commun. Heat Mass Transf. 35, 492-502 (2008). doi: 10.1016/j.icheatmasstransfer.2007.09.009
9. Gobin D., Goyeau B., Songbe J.-P.: Double diffusive natural convection in a composite fluid-porous layer. J. Heat Transf. 120, 234-242 (1998). doi: 10.1115/1.2830047
10. Gobin D., Goyeau B., Neculae A.: Convective heat and solute transfer in partially porous cavities. Int. J. Heat Mass Transf. 48, 1898-1908 (2005). doi: 10.1016/j.ijheatmasstransfer.2004.12.016
11. Goyeau B., Gobin D.: Heat transfer by thermosolutal natural convection in a vertical composite fluid-porous cavity. Int. Commun. Heat Mass Transf. 26, 1115-1126 (1999). doi: 10.1016/S0735-1933(99)00102-5
12. Hooman K., Gurgenci H.: Effects of temperature dependent viscosity on Bénard convection in a porous medium using a non-Darcy model. Int. J. Heat Mass Transf. 51, 1139-1149 (2008a). doi: 10.1016/ j.ijheatmasstransfer.2007.04.013
13. Hooman, K., Gurgenci, H.: Heatline visualization of natural convection in a porous cavity occupied by a fluid with temperature dependent viscosity. J. Heat Transf. 130, Paper # 012501 (2008b)
14. Ingham D.B., Pop I.: Transport Phenomena in Porous Media III. Elsevier, Oxford (2005)
15. Kuznetsov A.V.: Fluid mechanics and heat transfer in the interface region between a porous medium and a fluid layer: A boundary layer solution. J. Porous Media 2(3), 309-321 (1999)
16. Lauriat G., Prasad V.: Non-Darcian effects on natural convection in a vertical porous enclosure. Int. J. Heat Mass Transf. 32(11), 2135-2148 (1989). doi: 10.1016/0017-9310(89)90120-8
17. Malashetty M.S., Swamy M., Heera R.: Double diffusive convection in a porous layer using a thermal non-equilibrium model. Int. J. Therm. Sci. 47, 1131-1147 (2008). doi: 10.1016/j.ijthermalsci.2007.07.015
18. Massarotti N., Nithiarasu P., Zienkiewicz O.C.: Natural convection in porous medium-fluid interface problems: A finite element analysis by using the CBS procedure. Int. J. Numer. Methods Heat Fluid Flow 11(5), 473-490 (2001). doi: 10.1108/09615530110397370
19. Misirlioglu A., Cihat Baytas A., Pop I.: Natural convection inside an inclined wavy enclosure filled with a porous medium. Transp. Porous Media 64, 229-246 (2006). doi: 10.1007/s11242-005-2857-0
20. Nield D.A., Bejan A.: Convection in Porous Media. 3rd edn. Springer, New York (2006)
21. Nishimura T., Takumi T., Shiraishi M., Kawamura Y., Ozoe H.: Numerical analysis of natural convection in a rectangular enclosure horizontally divided into fluid and porous regions. Int. J. Heat Mass Transf. 29(6), 889-898 (1986). doi: 10.1016/0017-9310(86)90184-5
22. Nithiarasu P., Seetharamu K.N., Sundararajan T.: Natural convective heat transfer in a fluid saturated variable porosity medium. Int. J. Heat Mass Transf. 40(16), 3955-3967 (1997). doi: 10.1016/S0017-9310(97)00008-2
23. Ochoa-Tapia J.A., Whitaker S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid I: Theoretical development. Int. J. Heat Mass Transf. 38, 2635-2646 (1995a). doi: 10.1016/ 0017-9310(94)00346-W
24. Ochoa-Tapia J.A., Whitaker S.: Momentum transfer at the boundary between a porous medium and a homogeneous fluid II: Comparison with experiment. Int. J. Heat Mass Transf. 38, 2647-2655 (1995b). doi: 10.1016/ 0017-9310(94)00347-X 2647-2655
25. Ochoa-Tapia J.A., Whitaker S.: Heat transfer at the boundary between a porous medium and a homogeneous fluid. Int. J. Heat Mass Transf. 40, 2691-2707 (1997). doi: 10.1016/S0017-9310(96)00250-5
26. Ochoa-Tapia J.A., Whitaker S.: Momentum jump condition at the boundary between a porous medium and a homogeneous fluid: Inertial effect. J. Porous Media 1, 201-217 (1998)
27. Rathish Kumar B.V.: A study of free convection induced by a vertical wavy surface with heat flux in a porous enclosure. Numer. Heat Transf. Part A Appl. 37, 493-510 (2000)
28. Rathish Kumar B.V., Shalini: Natural convection in a thermally stratified wavy vertical porous enclosure. Numer. Heat Transf. Part A Appl. 43, 753-776 (2003)
29. Sathe S.B., Lin W.-Q., Tong T.W.: Natural convection in enclosures containing an insulation with a permeable fluid-porous interface. Int. J. Heat Fluid Flow 9(4), 389-395 (1988). doi: 10.1016/ 0142-727X(88)90005-7
30. Vadasz P.: Emerging Topics in Heat and Mass Transfer in Porous Media. Springer, New York (2008)
31. Vafai K.: Handbook of Porous Media. 2nd edn. Taylor & Francis, Boca Raton (2005)
32. Valencia-Lopez J.J., Ochoa-Tapia J.A.: A study of buoyancy-driven flow in a confined fluid overlying a porous layer. Int. J. Heat Mass Transf. 44, 4725-4736 (2001). doi: 10.1016/S0017-9310(01)00105-3 Valencia-Lopez J.J. Ochoa-Tapia J.A.