Analytical Solution of 2D Dual-Phase-Lagging Heat Conduction Model

T. N. Mishra

doi:https://doi.org/10.14445/22315373/IJMTT-V25P507

International Journal of Mathematics Trends and Technology

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Volume 25 | Number 1 | Year 2015 | Article Id. IJMTT-V25P507 | DOI : https://doi.org/10.14445/22315373/IJMTT-V25P507

Analytical Solution of 2D Dual-Phase-Lagging Heat Conduction Model

T. N. Mishra

Abstract

The heat transport at microscale is vital important in the field of micro-technology. In this paper heat transport in a two-dimensional thin plate based on dual-phase-lagging (DPL) heat conduction model is investigated. The solution was obtained with the help of superposition techniques and solution structure theorem. . The whole analysis is presented in dimensionless form. A numerical example of particular interest has been studied and discussed in details.

Keywords

DPL heat conduction model, Superposition technique, Solution structure theorem, Analytical solution.

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Citation :

T. N. Mishra, "Analytical Solution of 2D Dual-Phase-Lagging Heat Conduction Model," International Journal of Mathematics Trends and Technology (IJMTT), vol. 25, no. 1, pp. 35-40, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V25P507