Thermoconvective problem of non-isotropic heat conductivity

The mathematical model of process of formation of a temperature profile in the doublelayer system imitated by a non-isotropic half-space with the border moving with a constant vector of speed and possessing an isotropic covering of constant thickness is offered. The system is subject to local thermal influence in the conditions of heat exchange with the external environment.

It is shown that the temperature profile of the analyzed system can be presented in the form of the sum of two independent additive components. The first of аддитивнымх components defines process of formation of a temperature profile owing to difference of reference temperature of system from temperature of the external environment. With use of the common theory of integral transformations the analytical solution of the corresponding problem of a transient heat conduction is found.

The second independent additive component of the temperature profile formed due to influence of an external heat flux at equality of temperature of the external environment to the reference temperature of double-layer system is identified. Explicitly the algorithm of submission of the solution of the considered problem of nonstationary heat conductivity in analytically selfcontained view with use of composition of the singular integral transformations applied on space variables is considered.

The received results confirm the effect of “demolition” of a temperature profile found earlier in non-isotropic material with anisotropy of properties of a general view.

Keywords

a non-isotropic half-space with an isotropic covering of constant thickness, the relative frame border, local thermal influence, a temperature profile, integral transformations

Received

16.01.2019

Publication date

16.01.2019

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GOST	Attetkov A. Thermoconvective problem of non-isotropic heat conductivity // Izvestiia Rossiiskoi akademii nauk. Energetika – 2018. – Issue 6 C. 118-131 [Electronic resource]. URL: http://ras.jes.su/energetika/s000233100003525-1-1-en (circulation date: 03.05.2024). DOI: 10.31857/S000233100003525-1
MLA	Attetkov, A. "Thermoconvective problem of non-isotropic heat conductivity." Izvestiia Rossiiskoi akademii nauk. Energetika 6 (2018):118-131. DOI: 10.31857/S000233100003525-1
APA	Attetkov A. (2018). Thermoconvective problem of non-isotropic heat conductivity. Izvestiia Rossiiskoi akademii nauk. Energetika (6), pp.118-131 DOI: 10.31857/S000233100003525-1

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