B. V. Borisov, A. V. Vyatkin, G. V. Kuznetsov, V. I. Maksimov, T. A. Nagornova
{"title":"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","authors":"B. V. Borisov, A. V. Vyatkin, G. V. Kuznetsov, V. I. Maksimov, T. A. Nagornova","doi":"10.1134/S1990478923010027","DOIUrl":null,"url":null,"abstract":"<p> Mathematical modeling of heat transfer processes in a room with a gas infrared emitter,\nan air exchange system, a horizontal panel simulating equipment, and a local fence has been\ncarried out. The system of radiative heat transfer, energy, and Navier–Stokes equations for air and\nheat equations for solid elements was solved. The temperature and air velocity fields obtained as a\nresult of modeling illustrate the possibility of controlling the thermal regime of the local working\narea when a special fence is installed at its boundary. It was established that by changing the\nfence height and material one can change the local and average air temperatures in the local\nworking area. The results of numerical studies suggest that by varying the local fence parameters\none can create more comfortable temperature conditions in the local working area when gas\ninfrared emitters operate under sufficiently intense air exchange conditions.\n</p>","PeriodicalId":607,"journal":{"name":"Journal of Applied and Industrial Mathematics","volume":"17 1","pages":"15 - 24"},"PeriodicalIF":0.5800,"publicationDate":"2023-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied and Industrial Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1134/S1990478923010027","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
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.
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.