×

Double diffusive natural convection in a doubly stratified wavy porous enclosure. (English) Zbl 1190.76164

Summary: Combined heat and mass transfer process by natural convection along a vertical wavy surface in a thermal and mass stratified fluid saturated porous enclosure has been numerically analysed. Finite element method has been used and the influence of varying flow, heat and mass transfer governing parameters has been reported. Presence of thermal and mass stratification terms reduces the Nusselt number and Sherwood number values in all the cases. The flow circulation pattern which is anti-clockwise when the species buoyancy forces are opposing the thermal buoyancy forces, gets clockwise when the forces are aiding. When the two buoyancy forces are equal and opposing, a multi-cellular pattern with alternating circulation orientation manifests. Several other interesting features such as thermal and mass boundary layers, thermal plumes, secondary circulation zones, flow intensification etc. are noticed in the flow, temperature and concentration fields with varying flow, heat and mass transfer governing parameters.

MSC:

76R99 Diffusion and convection
76M10 Finite element methods applied to problems in fluid mechanics
76S05 Flows in porous media; filtration; seepage
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Bejan, A.; Khair, K. R., Heat and mass transfer by natural convection in a porous medium, Int. J. Heat Mass Transfer, 28, 5, 909-918 (1985) · Zbl 0564.76085
[2] Angirasa, D.; Peterson, G. P.; Pop, I., Combined heat and mass transfer by natural convection with opposing buoyancy effects in a fluid saturated porous medium, Int. J. Heat Mass Transfer, 40, 12, 2755-2773 (1997) · Zbl 0925.76653
[3] Singh, P.; Queeny, Free convection heat and mass transfer along a vertical surface in a porous medium, Acta Mech., 123, 69-73 (1997) · Zbl 0902.76088
[4] Nakayama, A.; Hossain, M. A., An integral treatment for combined heat and mass transfer by natural convection in a porous medium, Int. J. Heat Mass Transfer, 38, 4, 761-765 (1995)
[5] Lai, F. C.; Kulacki, F. A., Coupled heat and mass transfer by natural convection from vertical surfaces in porous media, Int. J. Heat Mass Transfer, 34, 1189-1194 (1991)
[6] Trevisan, O. V.; Bejan, A., Natural convection with combined heat and mass transfer buoyancy effects in a porous medium, Int. J. Heat Mass Transfer, 28, 8, 1597-1611 (1985)
[7] Nield, D. A.; Bejan, A., Convection in Porous Media (1998), Springer Verlag: Springer Verlag New York · Zbl 1375.76004
[8] Angirasa, D.; Peterson, G. P.; Pop, I., Combined heat and mass transfer by natural convection in a saturated thermally stratified porous medium, Numer. Heat Transfer A, 31, 255-272 (1997) · Zbl 0925.76653
[9] Rathish Kumar, B. V.; Singh, P.; Bansod, V. J., Effect of thermal stratification on double-diffusive natural convection in a vertical porous enclosure, Numer. Heat Transfer A, 41, 421-447 (2002)
[10] Bansod, V. J.; Singh, P.; Rathish Kumar, B. V., Heat and mass transfer by natural convection for a vertical surface to the stratified darcian fluid, J. Porous Media, 5, 1, 57-66 (2002) · Zbl 1007.76079
[11] Riley, D. S., Steady two-dimensional thermal convection in a vertical porous slot with spatially periodic boundary imperfections, Int. J. Heat Mass Transfer, 31, 11, 2365-2380 (1988)
[12] Cheng, C. Y., Natural convection heat and mass transfer near a vertical wavy surface with constant wall temperature and concentration in a porous medium, Int. Commun. Heat Mass Transfer, 27, 8, 1143-1154 (2000)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.