Consideration is given to the problem on the convective stability of mechanical equilibrium of a mixture of liquids with limited mutual solubility in a porous medium. It is assumed that in the initial state of mechanical equilibrium, the mixture fills the horizontal porous layer and is separated into two phases: the upper lighter phase and the lower heavy one. At the lower boundary of the layer, the higher temperature is maintained than that at the upper boundary. A study is made of the influence of the heat of phase transition and the ratio of phase densities on conditions for the onset of convection and on the structure of occurring flows.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
D. E. White, L. J. P. Muffler, and A. H. Truesdell, Vapordominated hydrothermal systems compared with hot water systems, Econ. Geol., 66, No. 1, 75–97 (1971).
L. B. Direktor, V. M. Zaichenko, I. L. Maikov, and V. M. Torchinskii, Distinctive Features of Filtration of Hydrocarbon Mixtures in Porous Media [in Russian], Ob’edinennyi Institut Vysokikh Temperatur RAN, Moscow (2016).
G. Schubert and J. M. Straus, Gravitational stability of water over steam in vapor-dominated geothermal system, J. Geoph. Res., 85, Issue B11, 6505–6512 (1980).
C. H. Sondergeld and D. L. Turcotte, An experimental study of two-phase convection in a porous medium with applications to geological problems, J. Geophys. Res., 82, No. 14, 2045−2053 (1977).
I. G. Donaldson, Flow of steam water mixtures through permeable beds: A simple simulation of a natural undisturbed hydrothermal region, N. Z. J. Sci., 11, 3−23 (1968).
G. Schubert and J. Straus, Two-phase convection in a porous medium, J. Geophys. Res., 82, No. 23, 3411–3421 (1977).
Yu. S. Teplitskii and V. L. Malevich, Concerning free convection in a heat-releasing granular bed in the presence of a first-order transition, J. Eng. Phys. Thermophys., 85, No. 4, 748–751 (2012).
Yu. S. Teplitskii and V. I. Kovenskii, Concerning the filtrational cooling of a heat-releasing granular bed in the presence of a first-order phase transition, J. Eng. Phys. Thermophys., 80, No. 2, 311–321 (2007).
O. Yu. Dinariev and N. V. Evseev, Description of the flows of two-phase mixtures with phase transitions in capillaries by the density-functional method, , J. Eng. Phys. Thermophys., 78, No. 3, 474–481 (2005).
S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Clarendon Press, Oxford, 1961.
M. A. Grant, Geothermal reservoir modeling, Geothermics, 12, No. 4, 251–263 (1983).
G. G. Tsypkin and A. T. Il'ichev, Stability of the stationary front of water–vapor phase transition in geothermal systems, Dokl. Ross. Akad. Nauk, 378, No. 2, 197–200 (2001).
G. G. Tsypkin and A. T. Il’ichev, Gravitational stability of the interface in water over steam geothermal reservoirs, Transport porous media, 55, No. 2, 183–199 (2004).
A. T. Il’ichev and G. G. Tsypkin, Stability of the water–vapor interface in geothermal systems, Izv. Ross. Akad. Nauk, Mekh. Zhidkosti Gaza, No. 4, 82–92 (2012).
V. P. Trubitsin, A. N. Evseev, A. A. Baranov, and A. P. Trubitsin, Mantle convection with endothermal phase transition, Fiz. Zemli, No. 12, 3–12 (2007).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 94, No. 6, pp. 1606–1616, November–December, 2021.
Rights and permissions
About this article
Cite this article
Ramazanov, M.M., Bulgakova, N.S. Influence of the Heat of Phase Transition on the Onset of Filtration Convection in Mixtures of Liquids with Limited Mutual Solubility. J Eng Phys Thermophy 94, 1571–1581 (2021). https://doi.org/10.1007/s10891-021-02438-y
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10891-021-02438-y