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Keyword: matrix

  • MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

    Study on the effectiveness of integrated methodologies for determining thermophysical properties of building envelope structures

    • Renat Sadykov
    • Airat Osipov
    • Artem Akhmerov
    • Aida Mukhametzianova
    Mathematical Modeling, Vol. 9 (2025), Issue 2, pg(s) 47-51
    • Abstract
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    To design energy-efficient buildings, it is essential to accurately calculate, monitor, and analyze their energy consumption at all stages: from conceptual (sketch) development and design to construction and operation. However, current regulatory documentation lacks methodologies that fully account for the interrelated processes occurring in building envelopes—such as heat transfer, moisture accumulation, and air infiltration—evaluate the effectiveness of specific energy-saving measures, or perform energy consumption data analysis to determine a building’s actual energy performance indicators.This highlights the relevance of calculating and analyzing building energy consumption while accounting for heat and mass transfer processes in envelope structures and the presence of various architectural and construction elements. A methodology has been developed for processing data obtained from building thermal energy metering systems. This methodology allows, during the operational phase, to determine buildings’ energy characteristics, evaluate the efficiency of thermal energy use, and assess the effectiveness of energy-saving measures.

  • SCIENCE

    Solution of a generalized system of differential equations of intercoupled energy and mass transfer at short-term phase contact

    • Renat A. Sadykov
    • Airat L. Osipov
    • Artem V. Akhmerov
    Science. Business. Society., Vol. 10 (2025), Issue 1, pg(s) 3-4
    • Abstract
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    Modern intensification of materials processing technology leads to an increase in the role of non-stationary interconnected exchange processes compared to stationary unconnected interconnected exchange processes compared to stationary unconnected. This fact is still insufficiently reflected in the field of solving energy and mass transfer problems (EMT) at small Fourier numbers (Fourier numbers ≤0.1) at short-term phase contact (SPC). In this article, a generalized mathematical model of interconnected non-stationary irregular energy and mass transfer mode at short-term contact across a boundary with selective permeability of phases is formalized. In vector-matrix form, a conjugate mixed boundary value problem is solved with excitation in each of the phases of flows of substances absent in the other phase. By analogy with heat exchange and mass exchange, matrices of potential assimilation of phases and a contact matrix are introduced, which allows obtaining a uniform solution for a number of special cases and especially simplified the entry for the vector of interphase flow densities. The mathematical notation of the solutions of the considered parabolic system of partial differential equations of the second order for intensive irreversible processes (Fourier numbers ≤0.1) are written in vector-matrix form and are close to the scalar Higbee theory for mass transfer.

  • 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.

  • THEORETICAL FOUNDATIONS OF SECURITY

    MATRIX METHOD OF ASSESSING RISK CONFORMITY IN THE CONTEXT OF ENVIRONMENTAL SECURITY

    • Baev G.
    • Dimitrov M.
    • Dimitrov I.
    Security & Future, Vol. 1 (2017), Issue 4, pg(s) 136-137
    • Abstract
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    The research offers a simple matrix model of analysis for ranking risk levels in critical and emergency situations. The leading principles, which should be taken into consideration can be arranged in a group of steps, for example the qualification and grading of imminent danger and the level of endangerment of key assets, determining of the processes which can lead to harm and also the value of the structures susceptible to damage and the damage itself.

  • ENERGY FACTOR OF TECHNOLOGY OF NANOCOMPOSITE MATERIALS BASED ON POLYMERIC MATRICES

    • Avdeychik S.
    • Struk V.
    • Eisymont Y.
    • Liopo V.
    • Abdurazakov A.
    • institute
    Innovations, Vol. 4 (2016), Issue 2, pg(s) 34-35
    • Abstract
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    There were considered physical preconditions of appearance of dispersed particles activity in the process of the high molecular matrix modifying. The existence of a non-linear function S(r) = f (r) defining the dependence of the parameters of the characteristic physical properties of the particle of its geometrical parameters was shown. The expediency of use as modifiers dispersed particles with developed morphology of the surface layer, which provides a special energy state, was shown. Methodological approaches the optimum choice of effective modifiers while creating functional composites were developed. Practical applications of the developed approaches were exemplified.

Congresses and conferences

  • International Scientific Conference
    "ARTIFICIAL INTELLIGENCE"
    07.03-10.10.2026 - Borovets, Bulgaria
  • IX International Scientific Conference
    "High Technologies. Business. Society"
    09.-12.03.2026 - Borovets, Bulgaria
  • XXIII International Congress
    "Machinеs. Technolоgies. Materials."
    Winter session
    11.-14.03.2026 - Borovets, Bulgaria
  • XXXI International Scientific Technical Conference
    "Foundry"
    22.-24.04.2026 - Pleven, Bulgaria
  • XXXIV International Scientific Conference
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    22.-25.06.2026 - Varna, Bulgaria
  • XII International Scientific Congress
    "Innovations"
    22.-25.06.2026 - Varna, Bulgaria
  • XI International Scientific Conference
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    Summer session
    24.-27.06.2026 - Varna, Bulgaria
  • XV International Scientific Congress
    "Agricultural Machinery"
    24.-27.06.2026 - Varna, Bulgaria
  • XIV International Scientific Conference
    "Engineering. Technologies. Education. Safety"
    31.08-03.09.2026 - Varna, Bulgaria
  • X International Scientific Conference
    "Materials Science. Non-Equilibrium Phase Transformations"
    31.08-03.09.2026 - Varna, Bulgaria
  • XXIII International Congress
    "Machines. Technologies. Materials"
    Summer session
    02.-05.09.2026 - Varna, Bulgaria
  • X International Scientific Conference
    "POWER TRANSMISSIONS"
    02.-05.09.2026 - Varna, Bulgaria
  • XIX International Conference for Young Researchers
    "Technical Sciences. Industrial Management"
    11.-14.09.2026 - Varna, Bulgaria
  • XI International Scientific Conference
    "Conserving Soils and Water"
    07.-10.12.2026 - Borovets, Bulgaria
  • X International Scientific Conference on Security
    "Confsec"
    07.-10.12.2026 - Borovets, Bulgaria
  • XI International Scientific Conference
    "Industry 4.0"
    Winter session
    09.-12.12.2026 - Borovets, Bulgaria
  • V International Scientific Conference
    "Mathematical Modeling"
    09.-12.12.2026 - Borovets, Bulgaria

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