Mathematical Modeling of the Heat-Mass-Exchange in Anisotropic Environments Taking into Account the Boundary of Phase Transition

2018 ◽  
Author(s):  
Yaroslav Sokolovskyy ◽  
Iryna Boretska ◽  
Bogdana Gayvas ◽  
Igor Kroshnyy
Keyword(s):  
Mathematical Modeling ◽  
Phase Transition ◽  
Mass Exchange

scholarly journals MATHEMATICAL MODELING OF THERMOGRAVITATIONAL AND THERMOCA-PILLARY CONVECTION IN GAS-LIQUID PROCESSES

2021 ◽  
Vol 2021 (1) ◽  
pp. 58-66
Author(s):  
Evgeniy Podoplelov ◽  
Aleksey Bal'chugov ◽  
Anatoliy Dement'ev ◽  
Anatoliy Glotov
Keyword(s):  
Mathematical Modeling ◽  
Mass Transfer ◽  
Phase Boundary ◽  
Mass Exchange ◽  
Exchange Process ◽  
Transfer Coefficients ◽  
Mass Exchange Process ◽  
Convective Flows ◽  
Liquid Phases ◽  
Turbulent Pulsations

. The interaction of gas and liquid phases in some cases is accompanied by the spontaneous occur-rence of convective flows and turbulent pulsations at the phase boundary and in adjacent areas. Hy-drodynamic instability allows to accelerate the interfacial transfer of matter and leads to an increase in mass transfer coefficients. Research in this field is not only theoretical, but also practical, since sur-face convection can be artificially created in apparatus for intensifying the mass exchange process.

Mathematical modeling of binary compounds with the presence of a phase transition layer

2020 ◽  
Author(s):  
Irina G. Nizovtseva ◽  
Ilya O. Starodumov ◽  
Eugeny V. Pavlyuk ◽  
Alexander A. Ivanov
Keyword(s):  
Mathematical Modeling ◽  
Phase Transition ◽  
Transition Layer ◽  
Binary Compounds

scholarly journals Mathematical Modeling of Non-Fickian Diffusional Mass Exchange of Radioactive Contaminants in Geological Disposal Formations

Water ◽  
2018 ◽  
Vol 10 (2) ◽  
pp. 123 ◽  
Author(s):  
Anna Suzuki ◽  
Sergei Fomin ◽  
Vladimir Chugunov ◽  
Toshiyuki Hashida
Keyword(s):  
Mathematical Modeling ◽  
Mass Exchange ◽  
Geological Disposal ◽  
Diffusional Mass

scholarly journals Mathematical modeling of convection drying process of wood taking into account the boundary of phase transitions

2021 ◽  
Vol 8 (4) ◽  
pp. 830-841
Author(s):  
Ya. I. Sokolovskyy ◽  
◽  
I. B. Boretska ◽  
B. I. Gayvas ◽  
I. M. Kroshnyy ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Phase Transition ◽  
Phase Transitions ◽  
Transition Temperature ◽  
Moisture Transfer ◽  
Drying Process ◽  
Evaporation Zone ◽  
Boundary Change ◽  
Phase Transition Boundary

The article deals with constructing and implementing mathematical models of non-isothermal moisture transfer during drying of anisotropic capillary-porous materials, in particular wood, taking into account the movement of the evaporation zone for non-steady drying schedules, as well as to the development of effective analytical and numerical methods for their implementation. An analytical-numerical method for the determination of non-isothermal moisture transfer under non-steady schedules of the drying process has been developed, taking into account the dynamics of the phase transition boundary change. Calculation relationships are established for determining the phase transition temperature taking into account transport gradients and time for which the relative saturation reaches the boundaries of the phase transition.

scholarly journals Mathematical modeling of phase transition and separation in fluids: A unified approach

2014 ◽  
Vol 19 (7) ◽  
pp. 1889-1909 ◽  
Author(s):  
Alessia Berti ◽  
◽  
Claudio Giorgi ◽  
Angelo Morro ◽  
◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Phase Transition ◽  
Unified Approach

scholarly journals Mathematical modeling of bulk and directional crystallization with the moving phase transition layer

2021 ◽  
Author(s):  
Liubov Toropova ◽  
Danil Aseev ◽  
Sergei Osipov ◽  
Alexander Ivanov
Keyword(s):  
Mathematical Modeling ◽  
Phase Transition ◽  
Transition Layer ◽  
Solid Phase ◽  
Phase Region ◽  
Mushy Region ◽  
Solidification Velocity ◽  
Mushy Layer ◽  
Two Phase ◽  
Phase Layer

This paper is devoted to the mathematical modeling of a combined effect of directional and bulk crystallization in a phase transition layer with allowance for nucleation and evolution of newly born particles. We consider two models with and without fluctuations in crystal growth velocities, which are analytically solved using the saddle-point technique. The particle-size distribution function, solid-phase fraction in a supercooled two-phase layer, its thickness and permeability, solidification velocity, and desupercooling kinetics are defined. This solution enables us to characterize the mushy layer composition. We show that the region adjacent to the liquid phase is almost free of crystals and has a constant temperature gradient. Crystals undergo intense growth leading to fast mushy layer desupercooling in the middle of a two-phase region. The mushy region adjacent to the solid material is filled with the growing solid phase structures and is almost desupercooled.

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