The influence of thermal relaxation and thermal damping on transient processes with cyclic boundary conditions

Kirsanov, Yu. A.

doi:10.1134/s0018151x17030130

High Temp

2017

DOI: 10.1134/s0018151x17030130

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The influence of thermal relaxation and thermal damping on transient processes with cyclic boundary conditions

Yu. A. Kirsanov

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Cited by 8 publications

References 11 publications

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Calculation of temperature oscillations in thermal layer of regular solids at unsteady coefficient of heat transfer

Supel’nyak

2019

J. Phys.: Conf. Ser.

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The temperature oscillations in thermal layer of regular solids, caused by periodic oscillations of the ambient temperature and heat transfer coefficient, are analysed. A halfspace, a plate, a space with cylindrical channel, a cylinder, a space with spherical cavity are considered as solids. Exact solutions of the corresponding cyclic problems of heat conduction in the complex and real forms of trigonometric Fourier series are obtained. Methods of simplified solution of heat conduction problem based on boundary condition modification are considered. Comparison of exact solutions with approximate ones is carried out and the admissibility of the proposed approximate solutions is shown.

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Calculation of temperature oscillations in thermal layer of regular solids at unsteady coefficient of heat transfer

Supel’nyak

2019

J. Phys.: Conf. Ser.

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Study of analytical solution of the thermal conductivity equation considering relaxation phenomena under the third class boundary conditions

Zhukov

2021

J. Phys.: Conf. Ser.

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Applying the variable separation method, an exact analytical solution is found for thermal conductivity equation, established based on the modified Fourier’s law with thermal flux relaxation and temperature gradient under Newton’s boundary conditions (BC). An alternative method is proposed for modeling the transient heat conduction in the plate washed at the boundaries by a liquid or gas, which differs from the traditional one in the absence of the need to determine the heat transfer coefficients from the criterial heat transfer equations, instead of which it is proposed to introduce summands into the classical heat conductivity equation. The summands should take into account the relaxation nature of solids, the features of heat transfer at the boundary, acceleration of heat flux and temperature gradient during the process.

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On the Wave Heat Transfer at Times Comparable with the Relaxation Time upon Intensive Convective-Conductive Heating

2018

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The influence of thermal relaxation and thermal damping on transient processes with cyclic boundary conditions

Cited by 8 publications

References 11 publications

Calculation of temperature oscillations in thermal layer of regular solids at unsteady coefficient of heat transfer

Calculation of temperature oscillations in thermal layer of regular solids at unsteady coefficient of heat transfer

Study of analytical solution of the thermal conductivity equation considering relaxation phenomena under the third class boundary conditions

On the Wave Heat Transfer at Times Comparable with the Relaxation Time upon Intensive Convective-Conductive Heating

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