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TVT, 2019, Volume 57, Issue 4, Pages 543–547 (Mi tvt11141)  

Heat and Mass Transfer and Physical Gasdynamics

On thermal solitons with wave heat transfer in restricted areas

V. F. Formalev, S. A. Kolesnik

Moscow Aviation Institute (National Research University)

Abstract: This paper simulates wave heat transfer based on an analysis of the dynamics of an isolated heat wave (thermal soliton). An isolated thermal wave arises under the action of a thermal impulse that acts for a short time and moves along a cold region. Unlike a continuous thermal process in a nonequilibrium state, when the moving front of a traveling heat wave occurs in a semi-infinite body, a thermal soliton has two fronts, anterior and posterior. There is a temperature distribution noted between them over the spatial variable. First-order gaps in the temperature distribution are observed on these fronts with decreasing amplitude due to the dissipation of thermal energy. Reaching the opposite boundary, the soliton is not reflected in the same way as a mechanical wave. At first, the vicinity of the opposite boundary heats up to a certain level, and the soliton then moves along cold space in the opposite direction with decreasing amplitude. The results of an analytical solution of the wave heat transfer problem on the basis of the hyperbolic-type heat conduction equation with allowance for relaxation phenomena are presented.

Funding Agency Grant Number
Russian Science Foundation 16-19-10340
The study was financed by the Russian Science Foundation, project no. 16-19-10340.


DOI: https://doi.org/10.1134/S0040364419040045

Full text: PDF file (217 kB)
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English version:
High Temperature, 2019, 57:4, 498–502

Bibliographic databases:

UDC: 536.21
Received: 24.11.2018
Revised: 25.12.2018
Accepted:25.12.2018

Citation: V. F. Formalev, S. A. Kolesnik, “On thermal solitons with wave heat transfer in restricted areas”, TVT, 57:4 (2019), 543–547; High Temperature, 57:4 (2019), 498–502

Citation in format AMSBIB
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