Background
Type: Article

Periodic heat transfer in convective fins based on dual-phase-lag theory

Journal: Journal of Thermophysics and Heat Transfer (8878722)Year: 2016Volume: 30Issue: 2Pages: 359 - 368
Askarizadeh H.Ahmadikia H.a
DOI:10.2514/1.T4602Language: English

Abstract

Heat transfer enhancement through extended surfaces is crucial in modern engineering applications such as microelectromechanical systems and electronic components. Conduction heat transfer is the only way to achieve this objective when the mixing augmentation is not possible. This paper investigates the effects of non-Fourier thermal conduction in convective straight fins with arbitrary constant cross section under periodic boundary conditions by introducing the exact analytical solution for the dual-phase-lag heat conduction. The corresponding analytical approach is developed through the Laplace transform method and inversion theorem. To help advance the understanding of fin thermophysical behavior, a generalized model of conduction heat transfer equation is used for studying all of the interpretations to Fourier-based model, namely, parabolic thermal diffusion, hyperbolic thermal wave, and dual-phase-lag models. Heat flux and temperature gradient relaxation times are the characteristics of the dual-phase-lag model, and the simulation results are strictly a function of these two parameters. Therefore, fin temperature distributions are presented for flux precedence and gradient precedence heat flow regimes. Calculations are performed to investigate the influence of temperature gradient relaxation time on the hyperbolic heat conduction characteristics of non-Fourier fins. © Copyright 2015 by the American Institute of Aeronautics and Astronautics, Inc.


Author Keywords

Other Keywords

Electromechanical devicesFins (heat exchange)Fourier transformsHeat convectionHeat fluxHeat transfer coefficientsLaplace transformsMEMSRelaxation timeSuperconducting tapesThermal gradientsDual-phase-lag modelsExact analytical solutionsHeat Transfer enhancementHyperbolic heat conductionLaplace transform methodPeriodic boundary conditionsPeriodic heat transferThermophysical behaviorHeat conduction