Analytical Solution of a Heat Exchange Problem for Turbulent Boundary Layer
https://doi.org/10.1134/S2304487X19060026
Abstract
Based on the definition of an additional sought-for function (ASF) and additional boundary conditions (ABC), a highly accurate solution of the heat transfer problem in a turbulent boundary layer for boundary conditions of the first kind was obtained. The relation characterizing the change of the thermal boundary layer thickness that depends on longitudinal variables is taken as an additional sought-for function. The use of this function makes it possible to reduce the partial differential equation to the ordinary differential equation. Additional boundary conditions are accepted in such a form that their satisfying is equal to satisfying an equation at the boundary points. Empirical formulas of the velocity profile and its thickness in the turbulent dynamic boundary layer were used to obtain the solution of the problem for the thermal turbulent layer. Based on the results one can conclude that the thickness of the laminar thermal boundary layer is almost twice the thickness of the turbulent one.
Keywords
turbulent thermal boundary layer,
analytical solution,
additional sought-for functions,
additional boundary conditions,
integral method
Supporting agencies: The study was carried out with financial support of the Russian Foundation for Basic Research within the framework of a scientific project No. 18-38-00029 mol_a
About the Authors
A. V. Eremin
Samara State Technical University
Russian Federation
Russian Federation
443001
Samara
V. K. Tkachev
Samara State Technical University
Russian Federation
Russian Federation
443001
Samara
T. B. Tarabrina
Samara State Technical University
Russian Federation
Russian Federation
443001
Samara
I. V. Kudinov
Samara State Technical University
Russian Federation
Russian Federation
443001
Samara
S. V. Kolesnikov
Filial “Samara” PJSC “T Plus”
Russian Federation
Russian Federation
443100
Samara
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Review
For citations:
Eremin A.V., Tkachev V.K., Tarabrina T.B., Kudinov I.V., Kolesnikov S.V. Analytical Solution of a Heat Exchange Problem for Turbulent Boundary Layer. Vestnik natsional'nogo issledovatel'skogo yadernogo universiteta "MIFI". 2019;8(6):540-545. (In Russ.) https://doi.org/10.1134/S2304487X19060026
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