MATHEMATICAL MODELING OF THE AUTONOMOUS HEAT SUPPLY SYSTEM WITH TUBULAR GAS HEATERS IN BUILDING STRUCTURES WHEN OPERATING IN THE CONDENSATION MODE

H.Yа. Prokofieva, H. Bereziuk, V. Tkachova, L. Solod, O. Adehov
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Abstract

Problem statement. The application of modern autonomous heat supply systems is one of the directions of reducing the consumption of natural energy resources. There are many different autonomous systems of heat supply of objects. One of the variants of such systems is the system with tubе gas heaters. A tube gas heater consists of a gas burner, a radiating tube and a fan. One of the technical solutions for such heat supply systems is a tubular heater located inside the building structure. Increase of the efficiency of gas equipment can be achieved by operating this equipment in the condensation mode. Therefore, the operation of tubular gas heaters in building structures in the condensation mode is quite interesting in terms of increasing the efficiency of utilisation of the thermal potential of gaseous fuel and ensuring its saving. For research and practical design of autonomous heat supply systems with gas tube heaters in building structures with regard to the condensation mode of operation it is essential to develop a mathematical model for calculating the thermal and hydraulic modes of the system. The purpose of the article is to develop a mathematical model of an autonomous heat supply system with tubular gas heaters in building structures when operating in the condensation mode. Conclusion. The mathematical model of hydraulic and thermal modes of autonomous heat supply system with tubular gas heaters in building structures when operating in the condensation mode was developed. It is presented in the form of differential equations. The model is based on the equations of conservation of mass, motion and energy for the gas-air mixture inside the canal in two-phase flow, the equation of heat transfer inside the building structure, the equation of heat transfer from the external surface of the heater to the environment. The mathematical model of hydraulic and thermal modes of autonomous heat supply system with tubular gas heaters in building structures when operating in the condensation mode will be used to calculate and design such systems.
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建筑结构中管式燃气加热器在冷凝模式下运行时的自主供热系统数学模型
问题陈述。现代自主供热系统的应用是减少自然能源消耗的方向之一。有许多不同的自主供热系统。管式燃气加热器系统就是其中的一种。管式燃气加热器由燃气燃烧器、辐射管和风扇组成。这种供热系统的技术解决方案之一是安装在建筑结构内部的管式加热器。通过在冷凝模式下运行该设备,可以提高燃气设备的效率。因此,在建筑结构中以冷凝模式运行管式燃气加热器,对于提高气体燃料热潜力的利用效率和确保节约能源非常有意义。在研究和实际设计建筑结构中的气体管式加热器冷凝运行模式的自主供热系统时,必须开发一个数学模型来计算系统的热力和水力模式。本文的目的是为建筑结构中的管式燃气加热器在冷凝模式下运行时的自主供热系统建立数学模型。结论本文建立了在建筑结构中使用管式燃气加热器的自主供热系统在冷凝模式下运行时的水力和热力模式数学模型。该模型以微分方程的形式呈现。该模型基于两相流中管内气体-空气混合物的质量、运动和能量守恒方程、建筑结构内部传热方程、加热器外表面向环境传热方程。在建筑结构中使用管式燃气加热器的自主供热系统在冷凝模式下运行时的水力和热力模式数学模型将用于计算和设计此类系统。
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