scholarly journals Nonlinear Mathematical Model of Contaminant Distribution in Unsaturated Catalytic Porous Media

2019 ◽  
pp. 88-91
Author(s):  
Viktor Zhukovskyy ◽  
Anatolyy Vlasyuk ◽  
Natalya Zhukovska ◽  
Rajab Hesham
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Porous Media ◽  
Nonlinear Mathematical Model ◽  
Transfer Processes ◽  
Scale Factors ◽  
Mass Transfer Processes ◽  
Macro Scale ◽  
The Mathematical Model ◽  
Contaminant Distribution

The nonlinear mathematical model of contaminant distribution in unsaturated catalytic porous media to the filter-trap in isothermal conditions is presented. The mathematical model takes into account the micro and the meso/macro scale factors of the heat and mass transfer processes. The numerical solution of the respective boundary value problem was obtained by the method of finite differences. The analytical solution for mass transfer in nanoparticles was presented as well.

scholarly journals The Mathematical Model and Numerical Study of Heat and Mass Transfer Processes in the Combustion Chamber of Diesel-Generator Units with a Valve-Inductor Generator

2020 ◽  
pp. 611-625
Author(s):  
Dmitriy V. Guzei ◽  
Andrey V. Minakov ◽  
Vasiliy I. Panteleev ◽  
Maksim I. Pryazhnikov ◽  
Dmitriy V. Platonov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Combustion Chamber ◽  
Heat And Mass Transfer ◽  
Operating Conditions ◽  
Diesel Generator ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
Actual Geometry ◽  
The Mathematical Model

The mathematical model of heat and mass transfer processes in the combustion chamber of diesel generator units with valve inductor generators has been developed. The mathematical model takes into account the actual geometry of the combustion chamber and the operating conditions of the diesel engine. A study of the main characteristics of a diesel generator in a wide range of modes of operation has been carried out. In addition to energy characteristics, environmental parameters have been considered

scholarly journals ANALYSIS METHOD OF CALCULATION PARAMETERS OF HEAT AND MASS TRANSFER PROCESSES IN THE STIRLING ENGINE

2017 ◽  
Vol 3 ◽  
pp. 298
Author(s):  
Sergej Semyonov ◽  
Sergej Tikhonov ◽  
Mihail Donchenko ◽  
Jurij Lukyanov ◽  
Andrej Perminov
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Analysis Method ◽  
Calculation Methods ◽  
Method Of Calculation ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
The Mathematical Model ◽  
Optimal Calculation

The article highlights the optimal calculation methods for determining the parameters of heat and mass transfer processes occurring in the rotary-vane engine with an external supply of heat. It is shown that the mathematical model of working processes must consist of two parts. One part describes the processes occurring in the isolated volume. The second part describes the processes of mass exchange between the working chambers of two modules, as well as a heater or a cooler.

scholarly journals The Mathematical Model of Hydrodynamics and Heat and Mass Transfer at Formation of Steel Ingots and Castings

2015 ◽  
Vol 15 (1) ◽  
pp. 13-16 ◽  
Author(s):  
V.I. Bondarenko ◽  
V.V. Bilousov ◽  
F.V. Nedopekin ◽  
J.I. Shalapko
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Expert System ◽  
Heat And Mass Transfer ◽  
Computational Algorithm ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
Steel Ingots ◽  
The Mathematical Model

Abstract The generic mathematical model and computational algorithm considering hydrodynamics, heat and mass transfer processes during casting and forming steel ingots and castings are offered. Usage domains for turbulent, convective and non-convective models are determined depending on ingot geometry and thermal overheating of the poured melt. The expert system is developed, enabling to choose a mathematical model depending on the physical statement of a problem.

scholarly journals Mathematical modelingof heat and mass transfer processes in the adsorbers of the air purification system

2021 ◽  
Vol 12 (2) ◽  
pp. 2719-2724
Author(s):  
E.I. Starovoitov, Et. al.
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Air Purification ◽  
Physical Processes ◽  
Transfer Processes ◽  
System A ◽  
Mass Transfer Processes ◽  
Purification System ◽  
Adsorption Cycle

The present work is devoted to the study of the processes of heat and mass transfer in the adsorbers of the preliminary drying unit of the atmosphere purification system. A mathematical model has been developed that adequately reflects the physical processes at all stages of the adsorption cycle.Algorithms for solving problems and programs for calculating heat and mass transfer processes in an adsorption regenerated installation are obtained, results of parametric calculations of heat and mass transfer processes at each stage of the adsorption cycle and for the entire cycle as a whole are obtained.

scholarly journals Modeling the mass transfer processes in the growth of KDP crystals from solution

2019 ◽  
Vol 21 (1) ◽  
pp. 26-34
Author(s):  
N. A. Verezub ◽  
V. L. Manomenova ◽  
A. I. Prostomolotov
Keyword(s):  
Mathematical Model ◽  
Aqueous Solution ◽  
Mass Transfer ◽  
Crystal Growth ◽  
Potassium Dihydrogen Phosphate ◽  
Dihydrogen Phosphate ◽  
Potassium Dihydrogen ◽  
Transfer Processes ◽  
Mass Transfer Processes ◽  
Kdp Crystals

Finding the conditions of high-speed single crystal growth with an appropriate quality is a priority for the industrial production of crystalline materials. Crystals of potassium dihydrogen phosphate (KDP) are important optical materials, they are grown from an aqueous solution and an increase in the rate of growth and quality of a single crystal is of great practical importance.In this paper, mathematical simulation of hydrodynamic and mass transfer processes in growing KDP crystals is performed. The flow and mass transfer are modeled within the framework of continuous medium, which is considered as an aqueous solution of a special salt — potassium dihydrogen phosphate. This salt dissolves in water to a saturation level at a high temperature. Then, such supersaturated solution is used to grow crystals at lower temperatures in non-flowing and flowing crystallizers. The mathematical model is considered in a conjugate formulation with allowance for mass transfer in the«solution—crystal» system. Local features of hydrodynamics and mass transfer in a solution near the surface of a growing crystal are determined, which can affect on the local (for a particular place and direction) crystal growth rate and the formation of defects. The requirements to the crystallizers that provide the «necessary» hydrodynamics in the solution are discussed. Its validation is shown for the flow around a long horizontal plate simulating the growing facet of the crystal. The rate of precipitation of salt was evaluated by the proposed mathematical model, which matches the calculation of solution flow according to the Navier-Stokes equations for an incompressible fluid with a thermodynamic condition for the normal growth of a face under conditions of two-dimensional nucleation. The action of the flowing crystallizers was analyzed for various solution inflows (axial and ring) and its outflow through the axial bottom hole.

scholarly journals Mathematical Modeling of Heat, Mass and Moisture Transfer in Catalytic Porous Media

2020 ◽  
Vol 15 ◽  
Keyword(s):  
Mathematical Model ◽  
Porous Media ◽  
Moisture Transfer ◽  
Nonlinear Mathematical Model ◽  
Software Complex ◽  
Ordered Mesoporous Materials ◽  
Ordered Mesoporous ◽  
Finite Differences Method ◽  
New Applications ◽  
Contaminant Distribution

The discovery of ordered mesoporous materials has opened great opportunities for new applications in heterogeneous catalysis e.g. in soil purification processes. The focus of this study is the development of a mathematical model to simulate heat, mass and moisture transfer in soil arrays tacking into account catalytic micro- or nanoparticles. The nonlinear mathematical model of contaminant distribution in unsaturated catalytic porous media to the filter-trap in non-isothermal conditions is presented. The finite differences method was used to find the numerical solution of the corresponding boundary value problem and the analytical solution for mass transfer in catalytic micro- or nanoparticles was presented as well. Numerical experiments and their analysis were conducted using NanoSurface software complex.

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