A numerical investigation of a buoyancy driven flow in a semi-porous cavity: comparative effects of ramped and isothermal wall conditions
Open Access
|Jun 2013References
- Alazmi, B., Vafai, K., 2001. Analysis of fluid flow and heat transfer interfacial conditions between a porous medium and a fluid layer. Int. J. Heat Mass Transf., 44, 1735-1749.
- Beavers, G.S., Joseph, D.D., 1967. Boundary conditions at a naturally permeable wall. J. Fluid Mech., 30, 197-207.
- Beckermann, C., Viskanta, R., Ramadhyani, S., 1988. Natural convection in vertical enclosures containing simultaneously fluid and porous layers. J. Fluid Mech., 186, 257-284.
- Bhatt, B.S., Sacheti, N.C., 1994. Flow past a porous spherical shell using the Brinkman model. J. Physics D, 27, 37-41.
- Callahan, G.D., Marner, W.J., 1976. Transient free convection with mass transfer on an isothermal vertical plate. Int. J. Heat Mass Transf., 19, 165-174.
- Chandran, P., Sacheti, N.C., Singh, A.K., 2001. Exact solution for the convective flow of fluids of different Prandtl numbers near an infinite vertical plate in a rotating system. Int. J. Appl. Mech. Engng, 6, 573-590.
- Chandran, P., Sacheti, N. C., Singh, A. K., 2005. Natural convection near a vertical plate with ramped wall temperature. Heat Mass Transf., 41, 459-464.
- Chandrasekhara, B.C., Vortmeyer, D., 1979. Flow model for velocity distribution in fixed porous beds under isothermal conditions. Thermo. Fluid Dyn., 12, 105-111.
- Collins, R.E., 1961. Flow of Fluids through Porous Materials. Reinhold, New York.
- Hayday, A.A., Bowlus, D.A., McGraw, R.A., 1967. Free convection from a vertical plate with step discontinuities in surface temperature. ASME J. Heat Transf., 89, 244-250.
- Hill, A.A., Straughan, B., 2009a. Global stability for thermal convection in a fluid overlying a highly porous material. Proc. R. Soc. London A, 465, 207-217.
- Hill, A.A., Straughan, B., 2009b. Poiseuille flow in a fluid overlying a highly porous material. Adv. Water Resour., 32, 1609-1614.
- Kao, T.T., 1975. Laminar free convective heat transfer response along a vertical flat plate with step jump in surface temperature. Lett. Heat Mass Transf., 2, 419-428.
- Kuznetzov, A.V., 1996. Analytical investigation of the fluid flow in the interface region between a porous medium and a clear fluid in channels partially filled with a porous medium. Appl. Sci. Res., 56, 53-67.
- Lee, S., Yovanovich, M.M., 1991. Laminar natural convection from a vertical plate with a step change in wall temperature. ASME J. Heat Transf., 113, 501-504.
- Lefebvre, L.P., Banhart, J., Dunand, D.C., 2008. Porous metals and metallic foams: Current status and recent developments. Adv. Engng. Mater., 10, 775-787.
- Magyari, E., Keller, B., 2003. Buoyancy sustained by viscous dissipation. Transp. Porous Media, 53, 105-115.
- Mallinson, G., De Vahl Davis, G., 1973. The method of false transient for the solution of coupled elliptic equations. J. Comput. Phys., 12, 435-461.
- Neale, G., Nader, W., 1974. Practical significance of Brinkman's extension of Darcy's law: coupled parallel flows within a channel and a bounding porous medium. Canad. J. Chem. Engng., 52, 475-478.
- Nield, D.A., 1977. Onset of convection in a fluid layer overlying a layer of porous medium. J. Fluid Mech., 81, 513-522.
- Nield, D.A., Bejan, A., 2006. Convection in Porous Media. 3rd Ed. Springer Verlag, Berlin.
- Nishimura, T., Takumi, T., Shiraishi, M., Kawamura, Y., Ozoe, H., 1986. Numerical analysis of natural convection in a rectangular enclosure horizontally divided into fluid and porous regions. Int. J. Heat Mass Transf., 29, 889-898.
- Palm, E., Weber, J. E., Kvernvold, O., 1972. On steady convection in a porous medium. J. Fluid Mech., 54, 153-161.
- Paul, T., Jha, B.K., Singh, A.K., 1996. Transient free convection flow in a vertical channel with constant temperature and constant heat flux on walls. Heat Mass Transf., 32, 61-63.
- Sacheti, N.C., Bhatt, B.S., 1988. Stokes and Rayleigh layers in presence of naturally permeable boundaries. In: Cheremisinoff, P.N., Cheremisinoff, N.P., Cheng S.L. (Eds.): Civil Engineering Practice. Technomic, Basel, pp. 659-695.
- Scheidegger, A.E., 1974. The Physics of Flow through Porous Media. Univ. Toronto Press, Toronto.
- Singh, A.K., Singh, J., 1983. Mass transfer effects on the flow past an accelerated vertical plate with constant heat flux. Astrophys. Space Sci., 97, 57-61.
- Singh, A.K., Thorpe, G.R., 1995. Natural convection in a confined fluid overlying a porous layer - A comparison study of different models. Indian J. Pure Appl. Math., 26, 81-95.
- Singh, A.K., Leonardi, E., Thorpe, G.R., 1993. Threedimensional natural convection in a confined fluid overlying a porous bed. ASME J. Heat Transf., 115, 631-638.
- Singh, A.K., Paul, T., Thorpe, G.R., 2000. Natural convection in a non-rectangular porous enclosure. Forsch. Ingenieurwesen, 65, 301-308.
- Singh, A.K., Sacheti, N.C., Chandran, P., 2006. Stratification effects on transient Stokes flow in the presence of a permeable boundary. Forsch. Ingenieurwesen, 70, 67-73.
- Singh, A.K., Sacheti, N.C., Chandran, P., 2008. Developing flow near a semi-infinite vertical wall with ramped temperature. Int. J. Appl. Math. Stat., 13, 34-45.
- Singh, A.K., Sacheti, N.C., Chandran, P., 2009. Flow of an incompressible fluid in a cubical cavity with a free fluid - porous medium interface. Indian J. Indus. Appl. Math., 2, 61-71.
- Straughan, B., 2002. Effect of property variation and modelling on convection in a fluid overlying a porous layer. Int. J. Numer. Anal. Meth. Geomech., 26, 75-97.
- Vafai, K., Tien, C.L., 1981. Boundary and inertia effects on flow and heat transfer in porous media. Int. J. Heat Mass Transf., 24, 195-203.
- Valencia-López, J.J., Ochoa-Tapia, J.A., 2001. A study of buoyancy-driven flow in a confined fluid overlying a porous layer. Int. J. Heat Mass Transf., 44, 4725-4736.
- Zhao, C.Y., Lu, T.J., Hodson, H.P., 2004. Thermal radiation in ultralight metal foams with open cells. Int. J. Heat Mass Transf., 47, 2927-2939.
DOI: https://doi.org/10.2478/johh-2013-0014 | Journal eISSN: 1338-4333 (formerly 0042-790X) | Journal ISSN: 0042-790X
Language: English
Page range: 103 - 111
Published on: Jun 1, 2013
Published by: Slovak Academy of Sciences, Institute of Hydrology
In partnership with: Paradigm Publishing Services
Keywords:
Related subjects:
© 2013 Pallath Chandran, Nirmal C. Sacheti, Ashok K. Singh, published by Slovak Academy of Sciences, Institute of Hydrology
This work is licensed under the Creative Commons License.