Interciencia Journal

Paper Details


DOI LINK: https://doi.org/10.82044/9KqAk
Paper ID:9KqAk
Volume:50
Issue:6
Title:Mathematical calculation of energy and economic efficiency of a building with an element of national architecture
Abstract:Currently, there is a picture of an extensive increase in the volume of standard housing using outdated building codes of the 70s - 80s of the last century. However, modern demand requires the construction of houses that morally and technologically meet the modern needs of the population. One of the important needs of the Kazakhstani population is the construction of houses that correspond to the concept of national identity and ethnic originality, corresponding to the spirit of neo-nomadism. A modern requirement for buildings is energy efficiency. The article obtains an equation for the energy efficiency of a modern building with elements of national architecture. The initial condition is the equation of the heat balance of the building made in the form of the top of the yurt - a dome. The dome shape has become widespread in many buildings in Kazakhstan, including the main building of the residence of the President of the Republic of Kazakhstan Akorda. The dome shape is one of the forms with the least energy efficiency, due to the smallest ratio of surface area to volume of the figure. Taking into account heat loss and solar heating, a first-order differential equation was obtained. This equation describes the change in the internal temperature of the building. The equation is solved by the method of variation of a constant. The equation reflects the stationary temperature depending on the external solar heat or the environment, such dome parameters as heat loss, material properties. Based on the obtained equation, a daily graph of temperature changes inside the dome was constructed for winter conditions of the capital of the Republic of Kazakhstan, Astana. The graph showed that the dome-shaped form stably maintains the temperature inside the dome even with significant fluctuations in external temperature, i.e. the hemisphere, as an architectural element, showed good energy efficiency in the harsh winter conditions of Kazakhstan. The reasons for the good energy efficiency of dome-shaped buildings were indicated: the smallest ratio of the dome surface area to the internal volume, therefore, with the smallest surface area, heat loss is the smallest. The most common rectangular buildings have a surface area 40% larger than domed ones; good conditions are created inside the dome to maintain a microclimate, since warm air rising upward in the dome is distributed evenly under the dome, which leads to uniform heating of the surface, thereby excluding places with high temperature and pressure drops, and therefore heat leaks; good resistance to wind loads. The dome-shaped structure is well streamlined by wind flows. In rectangular buildings, the wind pressure blows directly into the wall, which leads to high wind loads on the building. This is especially relevant for the city of Astana, with its strong wind loads.
Keywords:national architecture, heat balance equation, heat transfer equation, hemisphere, differential equation, integration, temperature regime, surface absorption, optimization, energy, graph.
Authors:Ainura Omarova, Beibut Mukanov, Zhanna Shugaipova, Madina Zhumabekova
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