Abstract
The problem of double—diffusive convection for a thermohaline system consisting of a horizontal fluid layer situated above a saturated porous bed is studied experimentally. The porous bed is constructed from 5 mm spherical glass beads. The system initially contains a linear stabilizing salt distribution and is suddenly heated uniformly from below. The evolving temperature and concentration fields were determined at various times and were used to piece together a reliable picture of the behavior of the composite layer. The presence of the porous layer was responsible for a large delay in the flow initiation near the bottom wall, resulting in a considerable temperature increase. In some cases, the fluid saturating the porous matrix remained stagnant throughout the experiment and despite the fact that a vivid flow region existed directly above the porous region. The effect of the thermal Rayleigh number, the salinity Rayleigh number and the height of the porous substrate are also investigated in the course of the present study.
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References
Turner, J.S. (1975) ‘Buoyancy Effects in Fluids’ Cambridge University Press, Cambridge, England.
Rabl, A. and Nielson, C.E. (1975) ‘Solar poinds for space heating’, Solar Energy 17, 1–12.
Baines, P.G. and Gill, A.E. (1969)’ On thermohaline convection with linear gradients’, J. Fluid Mech. 37, 289–306.
Neild, D.A. (1967), ‘The thermohaline Rayleigh-Jeffreys problem’, J. Fluid Mech. 29, 545–558.
Turner, J.S. (1968) “The behavior of a stable salinity gradient heated from below”, J. Fluid Mech. 33, 183–200.
Poplawsky, C.J., Incropera, F.P. and Viskanta, R. (1981) ‘Mixed layer development in a double—diffusive, thermohaline system’, J. Solar Energy Eng. 103, 351–359.
Lewis, W.T., Incropera, F.P. and Viskanta, R. (1982) ‘Interferometric study of stable salinity gradients heated from below or cooled from above’, J. Fluid Mech. 116, 411–130.
Bergman, T.L., Incropera, F.P. and Viskanta, R. (1982)’ A multilayer model for mixed layer development in a double—diffusive thermohaline system heated from below’, Int. J. Heat Mass Transfer 25, 1411–1418.
Bergman, T.L., Incropera, F.P. and Viskanta, R. (1985) Int. J. Heat Mass Transfer 28, 779–788.
Ungan, A. and Bergman, T.L. (1987)’ A two—dimensional numerical simulation of a linearly-stratified thermohaline system heated from below’, ASME Publication 87-WA/HT-19, Boston, Massachusetts.
Kazmierczak, M.J. (1988)’ Transient Double Diffusion in a Fluid Layer and a Composite Porous/fluid Layer Heat from below’, Ph.D. Thesis, University of Illinois at Chicago, Chicago, Illinois.
Bergman, T.L. and Ungan, A. (1986)’ Experimental and numerical investigation of double—diffusive convection induced by a discrete heat source’, Int. J. Heat Mass Transfer 29, 1695–1709.
Neilson, D.G. and Incropera, F.P. (1987)’ Double—diffusive flow and heat transfer for a cylindrical source submerged in a salt—stratified solution’, Int. J. Heat Mass Transfer 30, 2559–2570.
Nield, D.A. (1968)’ Onset of thermohaline convection in a porous medium’, Water Resour. Res. 4, 553–560.
Rubin, H. (1973)’ Effect of nonlinear stabilizing salinity profiles on thermal convection in a porous medium layer,’ Water Resour. Res. 9, 211–221.
Trevisan, O.V. and Bejan, A. (1985)’ Mass and heat transfer by natural convection in a vertical slot filled with porous medium’, Int. J. Heat Mass Transfer 29 403–405.
Zhang, Z. and Bejan, A. (1987)’ The horizonal spreading of thermal and chemical deposites in a porous medium’, Int. J. Heat Mass Transfer 30 2289–2302.
Trevisan, O.V. and Bejan, A. (1987)’ Heat and mass transfer by high Rayleigh number convection in a porous medium heated from below’, Int. J. Heat Mass Transfer 30, 2341–2356.
Poulikakos, D. (1985)’ On buoyancy induced heat and mass transfer from a concentrated source in an infinite porous medium’, Int. J. Heat Mass Transfer 28, 621–629.
Larson, S.E. and Poulikakos, D. (1986)’ Double diffusive from a horizontal line source in an infinite porous medium’, Int. J. Heat Mass Transfer 29, 492–495.
Somerton, C.W. and Gatton, I. (1982)’ On the thermal instability of superposed porous and fluid layers’, J. Heat Transfer 104, 161–165.
Nield, D.A. (1977)’ Onset of convection in a fluid layer overlaying a layer of porous medium’, J. Fluid Mech. 81, 513–522.
Nield, D.A. (1983)’ The boundary correction of the Rayleigh—Darcy problem: limitations of the Brinkman equation’, J. FLuid Mech. 128, 37–46.
Poulikakos, D. (1986)’ Buoyancy—driven convection in a horizontal fluid layer extending over a porous substrate’, Physics of Fluids 29 3949–3951.
Beckermann, C., Ramadhyani, S. and Viskanta, R. (1987)’ Natural convection flow and heat transfer between and fluid layer and a porous layer inside a rectangular enclosure’, J. Heat Transfer 109, 363–370.
Beckermann, C., Viskanta, R. and Ramadhyani, S. (1988)’ Natural convection in vertical enclosures containing simultaneously fluid and porous layers’ J. Fluid Mech. 186, 257–284.
Fisher, K.M. (1981) Physicochem. Hydro 2, 311.
Kazmierczak, M. and Poulikakos, D. (1987)’ An optical technique for the in—situ measurement of species concentration in double diffusive convection’, Int. Comm. Heat Mass Transfer 4, 3–10.
Reid, R.C., Prausnitz, J.M. and Sherwood, T.K. (1985)’ The Properties of Gases and Liquids’, McGraw-Hill, New York.
Sohnel, O. and Novotny, P. (1985)’ Densities of Aqueous Solutions of Inorganic Substances’, Elsevier, Amsterdam.
Huppert, H.E. and Linden, P.E. (1979)’ On heating a stable salinity gradient from below’, J. Fluid Mech. 95, 431–464.
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Kazmierczak, M., Poulikakos, D. (1991). Transient Double Diffusive Convection in A Horizontal Fluid Layer Situated on Top of A Porous Substrate. In: Kakaç, S., Kilkiş, B., Kulacki, F.A., Arinç, F. (eds) Convective Heat and Mass Transfer in Porous Media. NATO ASI Series, vol 196. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3220-6_21
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DOI: https://doi.org/10.1007/978-94-011-3220-6_21
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