Measurement of thermal relaxation and temperature damping time in a solid

Kirsanov, Yu. A.; Kirsanov, A. Yu.; Yudakhin, A. E.

doi:10.1134/s0018151x17010126

Cited by 16 publications

(5 citation statements)

References 7 publications

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“…Here 1/ √ ρb 0 = c * is a typical velocity for the elastic waves in the system. Typical values for crystals are t 0 = 2.5 s [46], K 33 = 0.8 J s −1 m −1 • C), C E = 0.507 J g −1 • C) from which we obtain c * ≃ 2000 m s −1 , which agrees with the order of the elastic waves in crystals.…”

Section: Normal Incidence Solutionssupporting

confidence: 78%

Dependence of the elastic band structure of a helical medium on thermal dilatation

Mendoza

Reyes

2020

J. Phys.: Condens. Matter

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We consider an elastic helical medium formed by uniformly rotating a triclinic crystal around a given axis to constitute a helical medium giving rise to a material whose tensor stiffness rotates uniformly and varies along the helix axis. A detailed analysis of its elastic properties has been done previously. Here, we are concerned in analyzing the role of thermal coupling with heat ow through the dilatation tensor. Starting from a general dynamic description of the thermoelastic phenomena which takes into account the nite speed of propagation of thermal waves, we establish a set of equations for the strains, stresses, temperature and heat ow. These equations allow to calculate the band structure and the logarithmic ratio between longitudinal and transverse strains. We express our results for different values of the thermoelastic coupling and period of the helix which show remarkable modi cations when compared with the case in which no thermoelastic coupling is present.

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Section: Normal Incidence Solutionssupporting

confidence: 78%

Dependence of the elastic band structure of a helical medium on thermal dilatation

Mendoza

Reyes

2020

J. Phys.: Condens. Matter

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“…The time-delayed flux and finite propagation speed concepts of transfer processes are the subject of interest in numerous papers especially in the theory of heat conduction where flux time-delayed hyperbolic transport theory is used for explanation of non-Fourier effects [66][67][68][69][70][71][72][73][74]. Generally, non-local flux can be described by [75][76][77].…”

Section: Generalized Fractional Diffusion Theory Including Delayed Fluxmentioning

confidence: 99%

Mathematical Modeling of Anomalous Diffusive Behavior in Transdermal Drug-Delivery Including Time-Delayed Flux Concept

Čukić¹,

Galović²

2023

Preprint

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“…The classical Fourier heat conduction law is an empirical equation developed by Fourier while studying a large number of heat conduction phenomena. It is the basic law for the analysis of conventional heat conduction problems, as shown in Equation ( 1) [21]. This law has three main assumptions: (1) the speed of heat wave transmission is infinite;…”

Section: Derivation Of the Non-fourier Heat Conduction Law For Micro/...mentioning

confidence: 99%

A New Thermal Model for Predicted Discharge Craters in Micro/Nano-EDM Considering the Non-Fourier Effect

Chen

Zhou

et al. 2022

Crystals

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Micro/nano-electrical discharge machining is an alternative preparation method for surface micro/nano-structures, but it is difficult to precisely control the size of the micro/nano-structures due to its unclear material removal mechanism. Thus, it is useful to study its machining mechanism to achieve high-efficiency and controlled processing. At present, most of the established EDM thermal models for predicting the discharge crater size are based on the classical Fourier heat conduction law, assuming that the conduction velocity of heat energy is infinite. However, the single-pulse discharge time of micro/nano-EDM is transitory (<1 μs), and thus, the steady state heat balance condition cannot be achieved in a single-pulse discharge time. In order to predict the size of the micro/nano electrical discharge craters more accurately, the non-Fourier effect was considered to study the temperature field distribution of micro/nano-EDM of single-pulse discharge machining. Firstly, the classical Fourier heat conduction law was modified by introducing a relaxation time. Secondly, several key factors were considered to establish the thermal model of micro/nano-EDM in single-pulse discharge machining. Subsequently, numerical simulation software was used to solve the thermal model for obtaining the temperature field distribution of the workpiece material and predicting the size of the discharge craters. Finally, the predicting accuracy of the new thermal model was evaluated by comparing the relative error between the simulated values and experimental values. The comparison results show that considering the non-Fourier effect can reduce the average error of the thermal model from 33% to 10%. The non-Fourier effect is more obvious under the shorter discharge time of a single pulse.

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Measurement of thermal relaxation and temperature damping time in a solid

Cited by 16 publications

References 7 publications

Dependence of the elastic band structure of a helical medium on thermal dilatation

Dependence of the elastic band structure of a helical medium on thermal dilatation

Mathematical Modeling of Anomalous Diffusive Behavior in Transdermal Drug-Delivery Including Time-Delayed Flux Concept

A New Thermal Model for Predicted Discharge Craters in Micro/Nano-EDM Considering the Non-Fourier Effect

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