Renormalization group analysis of heat transfer in the presence of endothermic and exothermic chemical reactions

被引：0

作者：

Avramenko, Andriy A. ^{[1
]}

Shevchuk, Igor, V ^{[2
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Engn Thermophys, 2a Zhelyabov Str, UA-03057 Kiev, Ukraine

[2] TH Koln Univ Appl Sci, Inst Gen Mech Engn, D-51643 Gummersbach, Germany

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2019年 / 16卷 / 04期

关键词：

renormalization group; two-phase flow; turbulence model; TURBULENCE MODELS; EXPANSION; SYMMETRY; FLOWS;

D O I：

10.3934/mbe.2019100

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In the present paper, renormalization group methods are used to develop a macroscopic turbulence model for thermal diffusivity in turbulent fluid flow under conditions of endothermic and exothermic chemical reactions in flow. The temperature field is divided into slow (large-scale) and fast (small-scale) modes. With the help of the renormalization procedure, energy equations for the large-scale modes and relations for effective turbulent thermal diffusivity were obtained. It was shown how the type of the chemical reaction affects turbulent thermal diffusivity. In addition, the conditions were identified where effective thermal diffusivity undergoes a sharp growth.

引用

页码：2049 / 2062

页数：14

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