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Keyword: solution

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    The solution of the boundary value problems of the transfer processes in multilayer enclosing structures

    • Renat Sadykov
    Mathematical Modeling, Vol. 9 (2025), Issue 1, pg(s) 19-22
    • Abstract
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    By means of generalized functions analytical closed solutions of non-stationary transfer in multilayer enclosing structures of canonical forms under asymmetric boundary conditions of the first, second, third and mixed kinds were obtained.

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    Solution of the system of equations of energy and mass transfer with account of volumetric heat sources

    • Renat A. Sadykov
    • Airat L. Osipov
    • Artem V. Akhmerov
    Mathematical Modeling, Vol. 8 (2024), Issue 3, pg(s) 108-109
    • Abstract
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    The paper considers an analytical method for solving systems of equations of conjugate non-stationary heat and mass transfer with account of volumetric negative or positive heat sources (and steam generation aswell). The obtained data can be used to find integral kinetic dependencies of heat and mass exchange processes, analytical formulas for calculating heat and mass transfer coefficients and other derivative quantities necessary for engineering calculations of processes and devices in chemical technology, biotechnology, industrial heat power engineeringand other industries.

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    Generalized mathematical model of the transfer processes in the enclosing structures of buildings, constructions, thermal and engineering networks

    • Renat A.Sadykov
    • Edward Y. Abdullazyanov
    • Linar S. Sabitov
    • Aida K. Mukhametzianova
    Mathematical Modeling, Vol. 8 (2024), Issue 1, pg(s) 7-9
    • Abstract
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    The problems of heat and moisture transfer, air permeability in single and enclosure constructions (EC) of buildings, facilities and heat, engineering and electrical networks under the influence of environmental factors and the work of heating, ventilation and air conditioning has been analyzed. A general definition of the problem taking into account the transfer processes of internal voluminous or local heat source (drainage) has been considered. A generalized mathematical model (MM) of unsteady heat and mass transfer process for bodies of different canonical form (half-plate, hollow cylinder and sphere) and their analogues has been developed. In particular cases of the mathematical model, the dependence of the physical characteristics of the (solid isotropic) medium, the boundary conditions parameters, the capacity of the mass substance transfer sources (drains) from the transfer potentials (temperature, moisture content) or the space-time continuum has been taken into consideration. The analytical solution of the generalized non-stationary and stationary heat and mass transfer problem under the general boundary conditions of different (first, second, third and mixed) kind on the outline of the researched area has been scrutinized. For constant system parameters of non-stationary transfer processes an algorithm for solving differential transfer equations using Fourier transformation with variable parameters of different kind of boundary conditions has been shown. For large-scale transitions, practical applications, parametric analysis of the solutions obtained, setting optimization and automation tasks for process control systems, the obtained MM, analytical and approximate solutions of direct transfer short circuits are given a criterion form convenient for these purposes.

  • NATIONAL AND INTERNATIONAL SECURITY

    The reasons for the next armed clash between Jews and Palestinians from April-May 2021 and the impossibility of a lasting solution to the Israeli-Palestinian conflict

    • Krasimir Rumenov Kamenov
    Security & Future, Vol. 5 (2021), Issue 3, pg(s) 92-93
    • Abstract
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    A study of the preconditions for the emergence of the latest conflict between Jews and Palestinians in the context of the internal political situation in the state of Israel and who has an interest in its ignition. The Israeli-Palestinian conflict is the longest-running conflict that has ever existed in humanity and the impossibility of a lasting and sustainable settlement of the dispute, which will contribute to the stability not only of the State of Israel but also of the Middle East.

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