Regressed Models for Multirate Mass Transfer in Heterogeneous Media

2019 ◽  
Vol 55 (11) ◽  
pp. 8646-8665
Author(s):  
Maria T. Elenius ◽  
Linda M. Abriola
Keyword(s):  
Mass Transfer ◽  
Heterogeneous Media ◽  
Multirate Mass Transfer

scholarly journals Coupling of mass transfer and reactive transport for nonlinear reactions in heterogeneous media

2010 ◽  
Vol 46 (7) ◽  
Author(s):  
M. Willmann ◽  
J. Carrera ◽  
X. Sanchez-Vila ◽  
O. Silva ◽  
M. Dentz
Keyword(s):  
Mass Transfer ◽  
Reactive Transport ◽  
Heterogeneous Media ◽  
Nonlinear Reactions

scholarly journals Algorithms for Numerical Solution to the Problem of Diffusion in Nanoporous Media

2020 ◽  
pp. 44-52
Author(s):  
N.A. Vareniuk ◽  
N.I. Tukalevska
Keyword(s):  
Mathematical Modeling ◽  
Finite Element Method ◽  
Mass Transfer ◽  
Finite Element ◽  
Numerical Solution ◽  
Heterogeneous Media ◽  
Mutual Influence ◽  
Single Substance ◽  
Nonstationary Diffusion ◽  
Element Method

Introduction. Mathematical modeling of mass transfer in heterogeneous media of microporous structure and construction of solutions to the corresponding problems of mass transfer was considered by many authors [1–9, etc.]. In [6, 7] authors proposed a methodology for modeling mass transfer systems and parameter identification in nanoporous particle media (diffusion, adsorption, competitive diffusion of gases, filtration consolidation), which are described by non-classical boundary and initial-boundary value problems taking into account the mutual influence of micro- and macro-transfer flows, heteroporosity, the structure of microporous particles, multicomponent and other factors. In [8, 9] for a mathematical model of nonstationary diffusion of a single substance in a nanoporous medium described in [2] in the form of a multi-scale differential mathematical problem, the classical problems in the weak formulation were obtained. In this paper, algorithms for solving the above mathematical problems are constructed by using the finite element method. The results of the numerical solution of the test problem are presented. The results confirm the efficiency of the developed algorithms. The purpose is to solve a problem of nonstationary diffusion of single substance in nanoporous medium by constructing discretization algorithms using FEM quadratic basis functions. Results. Algorithms for the numerical solution of the problem of nonstationary diffusion of single substance in a nanoporous medium are proposed. Peculiarities of discretization of the region and construction of the matrix of masses, stiffness, and vector of right-hand sides when solving the problem by using FEM are described. The efficiency of the developed algorithms is confirmed by the results of solving a model example. Keywords: mathematical modeling, numerical methods, nonstationary diffusion, nanoporous medium, finite element method.

scholarly journals PATTERNS OF THE VARIATION OF PARAMETERS OF TRANSFER PROCESSES FOR MULTICOMPONENT HYDROCARBON GAS MEDIA UNDER SEPARATION

2020 ◽  
pp. 86-95
Author(s):  
A.V. Dmitriev ◽  
◽  
P.N. Zyatikov ◽  
Keyword(s):  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Heterogeneous Media ◽  
Oil And Gas ◽  
Oil And Gas Industry ◽  
Gas Mixtures ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
Hydrocarbon Gas ◽  
Property Changes

A detailed study of the evolution of local and integral parameters of momentum, heat, and mass transfer processes in hydrocarbon gas mixtures under separation conditions at given temperature and pressure values in working media is carried out within the framework of the principles of equilibrium thermodynamics using the Aspen HYSYS software package, namely, the Peng-Robinson equation of state for real gas mixtures, the principles of statistical mechanics, the approaches of corresponding states, the Chapman-Enskog and the Golubev methods, and the theory of similarity and dimensional analysis. The limits of similarity method applicability in quantitative estimates and qualitative forecasts of the mechanisms and configurations of convective heat and mass transfer in oil treatment units are established. The paper also discusses results of the analog method application in separation process modeling for momentum, heat and mass transfer processes in the problems of oil and gas industry. The conclusions about the aspects of property changes in complex mixtures and about heat and mass transfer intensity during separation, which violate a triple analogy in non-isothermal homogeneous and heterogeneous media, are recommended to take into account when designing real equipment.

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