Open AccessOn the New Nonlinear Properties of the Nonlinear Heat Conductivity Problem
Author(s) -
Aripov Mersaid Mirsiddikovich*,
Sayfullaeva Maftukha Zafrullayevna
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.a4416.119119
Subject(s) - nonlinear system , thermal conductivity , thermal , materials science , mechanics , mathematical analysis , physics , mathematics , thermodynamics , quantum mechanics
In this article, we discuss one problem of nonlinear thermal conductivity with double nonlinearity; an exact analytical solution has been found for it, the analysis of which allows revealing a number of characteristic features of thermal processes in nonlinear media. The following nonlinear effects have been established: the inertial effect, the finite propagation velocity of thermal disturbances, the spatial localization of heat, and the effect of the finite time of the existence of a thermal structure in an absorption medium.