Scientific Journal of KubSAU

Polythematic online scientific journal
of Kuban State Agrarian University
ISSN 1990-4665
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Name

Urtenov Makhamet Khuseyevich

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Academic rank

professor

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Organization, job position

Kuban State University
   

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Articles count: 43

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218 kb

2D SIMULATION OF THE INFLUENCE ON THE MAIN CONJUGATE EFFECTS ON ION TRANSPORT OF A BINARY SALT IN ELECTRO-MEMBRANE SYSTEMS

abstract 1231609117 issue 123 pp. 1712 – 1727 30.11.2016 ru 457
There is a 2D mathematical model of ion transport binary salt with the main conjugate effects of concentration polarization in the overlimiting current mode: the bulk charge and the dissociation/ recombination of water, gravity and electroconvection and Joule heating the solution in the form of a boundary value problem for systems of differential equations with partial derivatives in the article. This system is presented in a form convenient for numerical solution. We describe the necessary boundary conditions. This article presents a theoretical study of the interaction of forced, gravitational and electroconvection, the dissociation / recombination of water molecules, and Joule heating of the solution and heat transport through membranes. We have constructed a mathematical model of two-dimensional non-stationary ion transport binary salt in a smooth rectangular channel desalting electrodialysis device using equations Nernst-Planck-Poisson, heat conduction and Navier-Stokes equations and the natural boundary conditions. For numerical solution we use the finite element method, with the splitting of task at each new time layer into three subtasks: electrochemical, thermal conductivity, hydrodynamic. Such approach to the development of numerical methods is the original and can solve arising in modeling boundary-value problems for a nonlinear system of partial differential equations
157 kb

3D MODELING OF TRANSPORT BINARY ELECTROLYTE IN THE GALVANOSTATIC MODE IN THE CONDITION OF ELECTRONEUTRALITY

abstract 1101506023 issue 110 pp. 351 – 362 30.06.2015 ru 709
In the article we have derived mathematical models of non-stationary transport binary electrolyte in EMS (electromembrane systems: electrodialysis apparatus, electromembrane cell, etc.) for the galvanostatic mode. To be specific, as EMS viewed channel of desalting of EDA (electrodialysis apparatus) and EMS with RMD (rotating membrane disk). We present a formula expressing the intensity of the electric field through the current density and concentration. Also, we have received the differential equation for the current density. The fundamental point here is derived new equation for the unknown vector function of current density of the initial system of equations of Nernst-Planck. In addition, the article shows the output equation for the current density in three dimensions; we have proposed various methods for solving the equation of the current density and the boundary conditions for the current density. The proposed mathematical models of transport binary electrolyte are easy to be generalized to an arbitrary electrolyte. However, the corresponding equations are cumbersome. It should be also noted that the boundary conditions can be varied and depend on the purpose of a particular study in this regard, in this work are just the equation having the general form
188 kb

ANALYSIS OF METHODS OF GENERATION OF TIME SERIES WITH LONG-TERM CORRELATION STRUCTURE

abstract 0741110027 issue 74 pp. 312 – 322 30.12.2011 ru 1678
This article gives a comparative analysis of six modeling techniques of fractal differential noise, including: direct definition method, the method of Hosking, the method of Davis and Hart's, the circulant embedding method, Paxson method and method of spectral simulation. Furthermore, the algorithms are given for the analysis and the method of estimation of Hurst`s parameter is selected, this method is the main criterion of quality when comparing the above mentioned methods of fractal differential noise
1162 kb

CALCULATION AND ANALYSIS OF TIME BEHAVIOR OF ELECTROCONVECTION IN MEMBRANE SYSTEMS

abstract 1091505066 issue 109 pp. 958 – 970 29.05.2015 ru 633
The aim of this work is to carry out numerical analysis of time behavior of electroconvection in membrane systems, such as a desalting channel of electrodialysis apparatus. The current-voltage curve and the solution flaw were analyzed theoretically using mathematical models of ions transfer taking into account electroconvection in smooth desalting channel consisting of ideally selective anion- and cation-exchange membranes. The Hurst numbers for different parts of the current-voltage curve were calculated in order to determine whether the parts were persistent. The Fourier-analysis of the oscillating term of the current-voltage curve was carried out for the first time so as to determine predominant frequencies in the signal. Frequencies of passing of complexes of vortexes through the cross-section of the desalting channel were calculated. Frequencies of oscillations of concentration profiles were determined. It was found that the frequencies of oscillations of the concentration profiles coincide with the frequencies of passing of complexes of vortexes through the cross-section of the desalting channel. The oscillations of the current-voltage curve were physically interpreted. Namely, it was shown that the main frequency of oscillations of the current-voltage curve corresponds to the frequency of oscillations of the concentration profiles. The oscillations of the concentration profiles, produced by the passing of complexes of vortexes, cause oscillations of conductivity and, consequently, cause oscillations of resistance and of the current density. It was shown that the main frequency of the signal corresponds to the frequency of passing of complexes of vortexes through the cross-section of the desalting channel
372 kb

CLUSTER ANALYSIS OF THE FINANCIAL AND ECONOMIC CONDITION OF BUILDING BUSINESS BRANCH

abstract 0601006037 issue 60 pp. 588 – 598 29.06.2010 ru 2563
The article is devoted to the use of methods of cluster analysis, such as multivariate statistical, indistinct and neuronet, for an estimation of financial and economic condition of middle and small enterprises of building branch of Krasnodar region, and also to revealing of the reasons and laws of occurrence and development of crisis at these enterprises
368 kb

CLUSTER AND DISCRIMINANT MODEL OF EVALUATION OF EFFICIENCY OF ARBITRATION COURTS OF RUSSIAN FEDERATION

abstract 0701106015 issue 70 pp. 190 – 206 30.06.2011 ru 1802
The results of cluster analysis of the operational functioning of the Russian arbitration courts of various instances are shown, and the new mathematical model of discriminant analysis to measure the efficiency of arbitration courts are presented
365 kb

COMPARATIVE ANALYSIS AND ESTIMATION OF A SOCIAL AND AN ECONOMICAL CONDITION OF KARACHAEVO-CIRCASSIAN REPUBLIC WITH USE OF INTELLECTUAL SYSTEMS

abstract 0631009012 issue 63 pp. 162 – 181 27.11.2010 ru 1956
The article is devoted to a problem of the analysis of economic and financial activity of region, an estimation and diagnostics of its social condition, to the analysis of investment appeal, credit status and potential of development by means of modern mathematical methods, models, tools, means and intellectual systems, on an example of Karachaevo-Circassian Republic
143 kb

COMPARATIVE ANALYSIS OF METHODS OF ESTIMATION OF THE INCONSISTENCY OF AGRICULTURAL ENTERPRISES

abstract 0751201023 issue 75 pp. 294 – 308 27.01.2012 ru 1429
In the article, the analysis of inconsistency of agricultural enterprise is carried out by various methods. The hypothesis about absence of a universal method of an estimation of the inconsistency, yielding authentic result is proved
185 kb

DESIGNING OF MULTIALGORITHMIC METHODS ON THE EXAMPLE OF LIBRARY OF CLASSES FOR THE ANALYSIS AND MODELLING OF TIME SERIES

abstract 0781204017 issue 78 pp. 199 – 209 30.04.2012 ru 1196
In this article, we describe a modification of the design pattern of "Strategy", which informs customers about the different types of algorithms (strategies) without disclosing the features of their implementation, as well as allows you to control compliance with the algorithms and methods. In addition, the architecture of the algorithms and methods that use the above modification is described in details
248 kb

ELECTRO-OSMOSIS IN MICRO - AND NANOCHANNELS. PART 1. AN OUTPUT OF A HIERARCHICAL SYSTEM OF MATHEMATICAL MODELS USING THE METHOD OF DECOMPOSITION

abstract 1141510028 issue 114 pp. 370 – 391 30.12.2015 ru 627
Micro and nanofluidics are the new multidisciplinary sciences. One of the tasks of which is creation and management of flow of fluid in the thin channels size of a few nano- or micrometer which exposed the external electric field, where the walls are the ion exchange membrane. Electroosmosis (electroconvection) plays an important role in these tasks. A large number of articless were devoted to electroosmosis. One of the first, Dukhin S.S., Mishchuk N.A. and Rubinstein I. gave a theoretical explanation of the overlimiting current by electroosmosis. They used two-dimensional Stokes equation to calculate the flow of the electrolyte, and one-dimensional equations of Nernst-Planck and Poisson to calculate the electric power. These researches have multiple limitations because of the computational complexity the mathematical simulation. Thus, there is an actual problem of the asymptotic solution of boundary value problems for the two-dimensional systems of equations of NernstPlanck and Poisson without these restrictions. These researches we derived in simplified models of electroosmosis in galvanic dynamical mode using the decomposition method. We have created a hierarchical system of two-dimensional mathematical models of ion transport of salt and electroosmosis in micro- and nanochannels formed by selective ion-exchange membranes
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