A non-instantaneous kinetic model for freezing in porous media

作者: Leonid Bronfenbrener

DOI: 10.1016/J.CEP.2007.09.004

关键词: ThermodynamicsBoundary problemLewis numberPhase transitionJumpMoistureChemistryCrystallizationFront (oceanography)Porous mediumIndustrial and Manufacturing EngineeringProcess Chemistry and TechnologyEnergy Engineering and Power TechnologyGeneral chemistryGeneral Chemical Engineering

摘要: Abstract A solution is presented for the moving boundary problem that arises during heat and moisture transfer, when freezing fine-grained porous media under phase transition conditions. It based upon a quasi-heterogeneous scheme. This scheme assumes existence of an infinitely thin front hypothesis concerning finite rate crystallization process. Non-instantaneous kinetics considered consequently there no “jump at front” ice content total moisture. The zone defined as region between frozen point which vanishes. In equations, temperature, (liquid water) distribution are influenced by values these factors its velocity. For determination values, system equations obtained solved iteration method readily converges on solution. time-dependent influence characteristics presented. analysis process loamy soils was carried out variations characteristic parameters—Stefan Lewis numbers. As level increases, decreases, while become larger. With increase number, and, consequently, get case where water migration absent, to corresponds classical with front”. shown decrease time in non-instantaneous kinetic model leads flattening profiles vertical surface, approaches stage conditions occur. theoretical concepts results from analytical agreement experimental investigations. predicts satisfactorily reflects observed phenomena.

参考文章(25)
A. Fasano, M. Primicerio, Phase Change Without Sharp Interfaces Birkhäuser Basel. pp. 107- 125 ,(1989) , 10.1007/978-3-0348-9148-6_7
R.M.M. Mattheij, E.W.C. vanGroesen, M. Hazewinkel, Proceedings of the first European symposium on mathematics in industry Teubner. ,(1988)
John G. Tisdell, John R. Ward, Tim Capon, Impact of communication and information on a complex heterogeneous closed water catchment environment Water Resources Research. ,vol. 40, pp. 1- 8 ,(2004) , 10.1029/2003WR002868
Physics and chemistry of ice panhellenic conference on informatics. ,(2007) , 10.1039/9781847557773
E. Perfect, P.J. Williams, Thermally induced water migration in frozen soils Cold Regions Science and Technology. ,vol. 3, pp. 101- 109 ,(1980) , 10.1016/0165-232X(80)90015-4
Yoshisuke Nakano, Quasi-steady problems in freezing soils: I. Analysis on the steady growth of an ice layer Cold Regions Science and Technology. ,vol. 17, pp. 207- 226 ,(1990) , 10.1016/S0165-232X(05)80002-3
Leonid Bronfenbrener, Eli Korin, Kinetic model for crystallization in porous media International Journal of Heat and Mass Transfer. ,vol. 40, pp. 1053- 1059 ,(1997) , 10.1016/0017-9310(96)00170-6
Catherine Willis, Jacob Rubin, Transport of reacting solutes subject to a moving dissolution boundary: Numerical methods and solutions Water Resources Research. ,vol. 23, pp. 1561- 1574 ,(1987) , 10.1029/WR023I008P01561
Leonid Bronfenbrener, Eli Korin, Two-phase zone formation conditions under freezing of porous media Journal of Crystal Growth. ,vol. 198, pp. 89- 95 ,(1999) , 10.1016/S0022-0248(98)01209-3