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Hyperbolic approach in order to study the heat transport in metallic wire at high transitional regime

HICHAM ZERRADI1,* , AOUATIF DEZAIRI1, SAID OUASKIT1, HAMID LOULIJAT1, RACHIDA MOULTIF1, SOFIA MIZANI1

Affiliation

  1. Laboratory of condensed matter, faculty of sciences Ben M'sick (URAC.10), University Hassan II- Mohammedia Casablanca Morocco

Abstract

The heat conduction through different metallic wires, which are excited by a modulated thermal source, is studied under the framework of Maxwell-Cattaneo equation or hyperbolic heat equation. Using the numerical solution under the radial direction of cylindrical coordinates. It has been shown in the high frequency regime that remarkable oscillations of the temperature amplitude are obtained, this amplitude depends also on the type of the wire used. Additionally the metallic wires are studied using the parabolic and hyperbolic equation of heat, under tow successive Gaussian excitations. In small gap time the response of the hyperbolic heat equation shows specific behaviour when the relaxation time is quite smaller than the gap time between the successive Gaussian excitations. The obtained numerical results are supported by theory and experiments which constitute an unmistakable character of hyperbolic behaviour..

Keywords

Hyperbolic equation of heat, Maxwell-Cattaneo equation, High frequencies.

Submitted at: Sept. 28, 2013
Accepted at: Nov. 7, 2013

Citation

HICHAM ZERRADI, AOUATIF DEZAIRI, SAID OUASKIT, HAMID LOULIJAT, RACHIDA MOULTIF, SOFIA MIZANI, Hyperbolic approach in order to study the heat transport in metallic wire at high transitional regime, Journal of Optoelectronics and Advanced Materials Vol. 15, Iss. 11-12, pp. 1356-1361 (2013)