Three-Layer Problem on Heat Exchange in a Medium with Counterflows

With the use of the asymptotic method, it is shown that the three-layer problem on the conjugate heat exchange in an anisotropic medium with counterflows of liquid, formulated in the zero approximation, is equivalent to the analogous problem formulated using the Newton law. It was established that i...

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Bibliographic Details
Published in:Journal of engineering physics and thermophysics Vol. 97; no. 3; pp. 535 - 544
Main Author: Filippov, A. I.
Format: Journal Article
Language:English
Published: New York Springer US 01.05.2024
Springer
Springer Nature B.V
Subjects:
Anisotropic media
Anisotropy
Asymptotic methods
Classical Mechanics
Complex Systems
Conduction heating
Conductive heat transfer
Convective heat transfer
Counterflow
Electric properties
Engineering
Engineering Thermodynamics
Equivalence
Heat and Mass Transfer
Heat Conduction and Heat Transfer in Technological Processes
Heat exchange
Heat transfer
Heat transmission
Industrial Chemistry/Chemical Engineering
Laws, regulations and rules
Newton Theory
Thermal conductivity
Thermodynamics
temperature gradient
counterflows
heat exchange
effective heat conductivity
ISSN:1062-0125, 1573-871X
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Summary:With the use of the asymptotic method, it is shown that the three-layer problem on the conjugate heat exchange in an anisotropic medium with counterflows of liquid, formulated in the zero approximation, is equivalent to the analogous problem formulated using the Newton law. It was established that in the case where the counterflows of liquid in such a medium have equal strengths, the summary convective heat transfer in the medium is suppressed, and the medium takes new properties consisting in the appearance of heat flow mixed in nature, whose value is determined by the relation similar to the Fourier heat conduction law. By this meant that in the case where a temperature gradient is superimposed on a three-layer system of equivalent counterflows of liquid, in it there arises a heat flow having a value proportional to the temperature gradient in the medium and propagating in the direction opposite to the direction of this gradient. The effective coefficient of heat conductivity of medium, generated in it by the counterflows of liquid, separated by an immovable layer, is proportional to the square of the velocity of these flows. An immovable layer in a medium, separating the counterflows of liquid, increases the generation of heat in the medium, and the heat flow generated exceeds substantially the molecular one even in the case where it has a low velocity. Such processes provide the mass exchange in living organisms and their heat exchange with the environment.
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ISSN:1062-0125
1573-871X
DOI:10.1007/s10891-024-02921-2