• MATHEMATICAL MODELLING OF TECHNOLOGICAL PROCESSES AND SYSTEMS

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

    Mathematical Modeling, Vol. 9 (2025), Issue 2, pg(s) 47-51

    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

    Science. Business. Society., Vol. 10 (2025), Issue 1, pg(s) 3-4

    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.