Mathematical Modeling of Heat Transfer in a Room with a Gas Infrared Emitter, an Air Exchange System, and a Local Fence of the Working Area

B. V. Borisov, A. V. Vyatkin, G. V. Kuznetsov, V. I. Maksimov, T. A. Nagornova
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Abstract

Mathematical modeling of heat transfer processes in a room with a gas infrared emitter, an air exchange system, a horizontal panel simulating equipment, and a local fence has been carried out. The system of radiative heat transfer, energy, and Navier–Stokes equations for air and heat equations for solid elements was solved. The temperature and air velocity fields obtained as a result of modeling illustrate the possibility of controlling the thermal regime of the local working area when a special fence is installed at its boundary. It was established that by changing the fence height and material one can change the local and average air temperatures in the local working area. The results of numerical studies suggest that by varying the local fence parameters one can create more comfortable temperature conditions in the local working area when gas infrared emitters operate under sufficiently intense air exchange conditions.

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带有气体红外发射器、空气交换系统和工作区域局部围栏的房间传热的数学建模
对装有气体红外发射器、空气交换系统、水平板模拟设备和局部围栏的室内传热过程进行了数学建模。求解了辐射传热系统、能量系统、空气的Navier-Stokes方程和固体元素的热方程。模拟得到的温度场和风速场说明了当在局部工作区域的边界设置特殊的围栏时,控制局部工作区域热状态的可能性。通过改变围栏的高度和材料,可以改变当地工作区域的当地和平均气温。数值研究结果表明,当气体红外发射器在足够强的空气交换条件下工作时,通过改变局部围栏参数可以在局部工作区域创造更舒适的温度条件。
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来源期刊
Journal of Applied and Industrial Mathematics
Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering
CiteScore
1.00
自引率
0.00%
发文量
16
期刊介绍: Journal of Applied and Industrial Mathematics  is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.
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