MATHEMATICAL MODELING OF THE THERMAL REGIME OF A TYPICAL RURAL HOUSE

Abstract

Heating systems of residential buildings, including typical rural houses, are energyintensive consumers of thermal and electrical energy. Research shows that the energy consumption
for heating 1.0 m² of living space in a typical rural house during the heating season amounts to
12÷18 m
3
of natural gas and 300÷380 kWh of electricity. Therefore, ensuring an optimal
microclimate in residential buildings, considering the variability of local meteorological parameters
and the rational use of renewable energy resources, is a relevant issue.
The study employed mathematical modeling methods, theoretical fundamentals of heat
engineering, similarity theory, experimental investigation of heat exchange processes, and
generalization of experimental results.
Mathematical models were developed based on heat balance equations and thermal calculation
schemes for a typical rural house. These models allow for the calculation of the temperature regime
of typical rural houses with hybrid heating systems, considering local meteorological characteristics,
indoor air temperature, and changes in the thermal properties of the building‘s wall structures.
The results of modeling the temperature regime of a typical rural house show that during the
winter period (in the conditions of the Karshi district) with an outside air temperature of -3 °C, solar
radiation within the range of 500÷600 W/m² is necessary to ensure the required temperature regime
(+20 ÷ +22 °C). At external air temperatures of -10 °C, -13 °C, and -26 °C, additional heat sources
are required.