HEAT TRANSFER IN GRADIENT LAMINAR FLOWS

A. Avramenko, A.O. Tyrinov, N. P. Dmitrenko, Y. Kovetska
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Abstract

The development of new areas of research in the field of theoretical thermophysics requires reliable analytical solutions that could take into account the main aspects of physical parameters in the studied objects. One such analytical technique is symmetry groups. On the basis of symmetry groups the problem of heat transfer in gradient laminar flows is solved in the paper. For the first time, the symmetries of the energy equation for the boundary layer at an arbitrary changing velocity at marching direction are obtained. Examples of the use of group analysis methods for the study of heat transfer in the boundary layer of an incompressible fluid are demonstrated. The problems of heat transfer in the boundary layer on a heat-conducting wall with a constant temperature and on a heat-insulated wall are considered. Analytical relations for temperature and heat transfer coefficients distribution are obtained.
梯度层流中的传热
理论热物理领域的新研究领域的发展需要可靠的分析解决方案,这些解决方案可以考虑到所研究对象的物理参数的主要方面。对称群就是这样一种分析方法。本文在对称群的基础上,解决了梯度层流的传热问题。首次得到了沿前进方向任意改变速度时边界层能量方程的对称性。用群分析方法研究不可压缩流体边界层的传热,给出了实例。研究了恒温导热壁面边界层和绝热壁面边界层的传热问题。得到了温度和传热系数分布的解析关系。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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