Work

Comparison of two nonlinear formulations of the Maxwell-Cattaneo equation in heat pulse transmission

Year: 2024

Type: article

Abstract: The nonlinear terms resulting from temperature dependence of thermal conductivity and relaxation time must be considered when studying systems undergoing very short thermal pulses with non-negligible amplitude of the temperature perturbation. Two nonlinear formulations of the Maxwell-Cattaneo-Vernotte equation for thermal transport with relaxation effects are introduced. A comparison of the consequences of these two different nonlinear Cattaneo type equations on thermal pulse propagation is obtained and discussed. The differences in the corresponding velocities and in the corresponding heights of the perturbation peaks turn out to be significant and could be experimentally detected.

Source: Applied Mathematical Modelling

DOI: 10.1016/j.apm.2024.115684

Authors: Carmelo Filippo Munafò, Patrizia Rogolino, David Jou

Institutions: University of Messina, Universitat Autònoma de Barcelona

Language: English

Topic: Thermoelastic and Magnetoelastic Phenomena

Subfield: Mechanics of Materials

Field: Engineering

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,980

Funder: Ministero dell'Istruzione e del Merito