Propagation of heat wave in composite cylinder using Cattaneo- Vernotte theory

Kheibari, Ali Keifari; Jafari, Mohammad; Nazari, Mohammad Bagher

doi:10.1016/j.ijheatmasstransfer.2020.120208

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Cited by 8 publications

(2 citation statements)

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“…For

and

, one obtains the single-phase-lag equation of hyperbolic type. The wave character of this heat conduction equation was used in the investigations of propagations of heat waves in papers [ 26 , 27 ].…”

Section: Introductionmentioning

confidence: 99%

Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium

2022

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In the paper, a solution of the fractional dual-phase-lag heat conduction problem is presented. The considerations are related to the heat conduction in a multi-layered spherical medium with azimuthal symmetry. The final form of the analytical solution is given in a form of the double series of spherical Bessel functions and Legendre functions. Numerical calculations concern the study of the effect of the order of the Caputo derivative on the temperature distribution in a composite solid sphere, hemisphere and spherical cone.

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“…For

and

Section: Introductionmentioning

confidence: 99%

Fractional Order Dual-Phase-Lag Model of Heat Conduction in a Composite Spherical Medium

2022

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“…The analytical solution is suitable for various conditions. Ali Keifari Kheibari et al [18] present an analytical solution for the distribution of non-axisymmetric temperature during a long multi-layer cylinder, using the separation of variables method. They studied the effect of fiber angle on the temperature distribution in radial and circumferential directions.…”

Section: Introductionmentioning

confidence: 99%