Mathematical Modeling of the Dynamics of Distributed Time-space Process of the Convective Diffusion of the Binary Mixture under Conditions of Mass Exchange

2009 ◽  
Vol 41 (11) ◽  
pp. 28-39 ◽  
Author(s):  
Vladimir M. Bulavatskiy
Keyword(s):  
Mathematical Modeling ◽  
Binary Mixture ◽  
Mass Exchange ◽  
Convective Diffusion ◽  
Time Space

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.

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 On the selection of fractional-differential model of convective diffusion with mass exchange

2020 ◽  
pp. 7-10
Author(s):  
Vsevolod Bohaienko ◽  
Anatolij Gladky
Keyword(s):  
Decision Making ◽  
Mass Exchange ◽  
Caputo Derivative ◽  
Heuristic Algorithms ◽  
Convective Diffusion ◽  
Concentration Field ◽  
Model Parameters ◽  
Differential Model ◽  
Fractional Differential

The paper considers two fractional-differential models of convective diffusion with mass exchange and proposes a decision-making algorithm for determining the optimal model at the time of concentration field observation. As for soils of fractal structure, direct experimental determination of model parameters’ values and type of mass exchange process is in many cases impossible, calibration and determination of the most adequate models is performed mainly solving inverse problems by, in particular, meta-heuristic algorithms that are computationally complex. In order to reduce the computational complexity, we study the qualitative differences between diffusion processes described by fractional-differential models with non-local mass exchange on the base of the Caputo derivative and local non-linear mass exchange based on the non-equilibrium sorption equation that corresponds to the description by the Caputo-Fabrizio derivative. We determine under which conditions both models within a given accuracy describe the same set of measurements at a certain moment of time. When the solutions are close at a certain initial stage of process development, the model with the Caputo derivative describes its faster approach to a steady state. Based on the obtained estimates of differences in solutions, a decision-making algorithm is proposed to determine the most accurate model and the values of its parameters concurrently with the acquisition of measurements. This algorithm’s usage reduces the time spent on solving inverse calibration problems.

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