scholarly journals Mathematical Modeling of the Process of Micro Irrigation in the Soil Layer under Conditions of Heat and Mass Transfer

2019 ◽  
pp. 84-85
Author(s):  
Anatolii Vlasyuk ◽  
Viktor Ogiychuk
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Boundary Value Problem ◽  
Heat And Mass Transfer ◽  
Finite Differences ◽  
Numerical Experiments ◽  
Soil Layer ◽  
Nonlinear Mathematical Model ◽  
Micro Irrigation

The nonlinear mathematical model of a process micro irrigation in non-saturated of soil layer under of heat and mass transfer has presented. The numerical solution of the espective boundary value problem has obtained by the method of finite differences using the monotonic scheme. Software had created on the basic of developed algorithms and a series of numerical experiments were done.

scholarly journals The Mathematical Modeling of Metals Mass Transfer in Three Layer Peat Blocks

2015 ◽  
Vol 1 ◽  
pp. 87
Author(s):  
Ērika Teirumnieka ◽  
Ilmārs Kangro ◽  
Edmunds Teirumnieks ◽  
Harijs Kalis
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Finite Difference ◽  
Boundary Value Problem ◽  
Mathematical Models ◽  
Boundary Value ◽  
Finite Difference Methods ◽  
Difference Methods ◽  
The Mathematical Model

The mathematical model for calculation of concentration of metals for 3 layers peat blocks is developed due to solving the 3-D boundary-value problem in multilayered domain-averaging and finite difference methods are considered. As an example, mathematical models for calculation of Fe and Ca concentrations have been analyzed.

scholarly journals Mathematical and Computer Simulation of the Interconnected Processes Mass, Heat and Moisture Transfer in Horizontal Soil Media

2019 ◽  
pp. 82-83
Author(s):  
Anatolii Vlasyuk ◽  
Ihor Ilkiv
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Numerical Experiments ◽  
Moisture Transfer ◽  
Soil Layer ◽  
Nonlinear Mathematical Model ◽  
Mathematical And Computer Simulation ◽  
Soil Media ◽  
Mass And Heat Transfer ◽  
Heat And Moisture

The nonlinear mathematical model of a interconnected processes of moisture transfer, mass and heat transfer in horizontal soil layer is presented. The  numerical solution of the respective boundary value problem was obtained by the method of finite differences using the monotonic scheme. Software was created on the basic of developed algorithms and a series of numerical experiments were done.

scholarly journals Mathematical Modelling of Mass Transfer in Zones of Complete and Incomplete Saturation under the Action of Systematic Combined Drainage

2019 ◽  
pp. 86-87
Author(s):  
Anatolii Vlasyuk ◽  
Tatiana Tsvietkova
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Porous Media ◽  
Boundary Value Problem ◽  
Mathematical Modelling ◽  
Numerical Solution ◽  
Finite Differences ◽  
Unsaturated Porous Media ◽  
Vertical Drains ◽  
The Mathematical Model

The mathematical model of a processes mass transfer in saturated and unsaturated porous media to the filtertrap in isothermal conditions to the system of vertical drains is presented. The numerical solution of the respective boundary value problem was obtained by the method of finite differences using the numerical method of conformal mappings in an inverse statement.

scholarly journals Modeling of kinetics of drying process of polycaproamide granules considering its sorption properties

2018 ◽  
Author(s):  
Marina Sergeevna Maklusova ◽  
Maria Konstantinovna Kosheleva ◽  
Olga Roaldovna Dornyak
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mass Transfer ◽  
Moisture Content ◽  
Gas Phase ◽  
Heat And Mass Transfer ◽  
Sorption Properties ◽  
Convective Drying ◽  
Drying Process ◽  
Kinetics Of

The object of research is a fiber-forming polymer - polycaproamide. The process of drying of polycaproamide granules, after aqueous extraction of low-molecular compounds from them, is an important stage of producing of polyamide fiber nylon and largely determines the quality of the target product. To obtain a high-quality fiber, the drying of the granules should provide a sufficiently high degree of its dehydration. The average final moisture content of the material should be no more than 0.1%. With a low moisture content, the drying process slows down, so the calculation of the kinetics of dewatering of granules can not be carried out using a constant effective mass-transfer coefficient (moisture diffusion). In this paper we present a calculation technique for determining two local parameters of mass transfer: the water diffusion coefficient in polycaproamide (as a liquid) and the so-called criterion for phase transitions, which depend on the moisture content of the material and are determined by its sorption properties. The report presents the results of numerical calculations illustrating the development of two-dimensional fields of moisture content, temperature, pressure and vapor concentration in the vapor-gas phase for cylindrical granules in convective drying. To describe the processes of heat and mass transfer during the drying of granules, a nonstationary nonlinear 2D model is used that includes transport equations averaged over the microvolume of the material: the liquid phase transfer equation; heat equation; equation for vapor-gas phase pressure; equation for the concentration of the vapor component. The nonstationary nonlinear conjugate mathematical model is studied numerically. A feature of the presented model is the possibility of an analytical calculation of the local mass transfer coefficients of a liquid, taking into account the sorption properties of the material, the permeability coefficient and the local values ​​of humidity and temperature. Determination of the local coefficients of moisture transfer is carried out on the basis of the formulas obtained in the analysis of a more general mathematical model of heat and mass transfer carried out based on the mechanics of multiphase systems developed in the works of R.I. Nigmatulin, and S. Whitaker. The structure of the samples was investigated by three independent methods in order to obtain the most complete idea of ​​it and to compare the obtained characteristics. The isotherms of the sorption of polycaproamide were obtained experimentally on a vacuum sorption plant with Mac-Ben-Bakr weights. Comparison of the results of mathematical modeling of heat and mass transfer in the granule and data of the laboratory experiment on the kinetics of polycaproamide granule drying showed good agreement between the calculated and experimental data. The constructed mathematical model allows to form energy-efficient resource-saving regimes for drying granules of polycaproamide.Keywords: convective drying, mathematical modeling, polycaproamide.

A mathematical model of turbulent heat and mass transfer in stably stratified shear flow

1993 ◽  
Vol 253 (-1) ◽  
pp. 341 ◽  
Author(s):  
G. I. Barenblatt ◽  
M. Bertsch ◽  
R. Dal Passo ◽  
V. M. Prostokishin ◽  
M. Ughi
Keyword(s):  
Mathematical Model ◽  
Mass Transfer ◽  
Shear Flow ◽  
Heat And Mass Transfer ◽  
Turbulent Heat ◽  
Stratified Shear Flow ◽  
Stably Stratified Shear Flow

scholarly journals Mathematical Modeling of Heat and Mass Transfer in Energy Science and Engineering 2014

2015 ◽  
Vol 2015 ◽  
pp. 1-3
Author(s):  
Zhijun Zhang ◽  
Hua-Shu Dou ◽  
Ireneusz Zbicinski ◽  
Zhonghua Wu ◽  
Jun Liu
Keyword(s):  
Mathematical Modeling ◽  
Mass Transfer ◽  
Heat And Mass Transfer ◽  
Science And Engineering ◽  
Energy Science
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