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contributor authorJulius, Simon
contributor authorLeizeronok, Boris
contributor authorCukurel, Beni
date accessioned2019-02-28T11:00:57Z
date available2019-02-28T11:00:57Z
date copyright10/10/2017 12:00:00 AM
date issued2018
identifier issn0022-1481
identifier otherht_140_03_031301.pdf
identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4251744
description abstractFinite integral transform techniques are applied to solve the one-dimensional (1D) dual-phase heat conduction problem, and a comprehensive analysis is provided for general time-dependent heat generation and arbitrary combinations of various boundary conditions (Dirichlet, Neumann, and Robin). Through the dependence on the relative differences in heat flux and temperature relaxation times, this analytical solution effectively models both parabolic and hyperbolic heat conduction. In order to demonstrate several exemplary physical phenomena, four distinct cases that illustrate the wavelike heat conduction behavior are presented. In the first model, following an initial temperature spike in a slab, the thermal evolution portrays immediate dissipation in parabolic systems, whereas the dual-phase solution depicts wavelike temperature propagation—the intensity of which depends on the relaxation times. Next, the analysis of periodic surface heat flux at the slab boundaries provides evidence of interference patterns formed by temperature waves. In following, the study of Joule heating driven periodic generation inside the slab demonstrates that the steady-periodic parabolic temperature response depends on the ratio of pulsatile electrical excitation and the electrical resistivity of the slab. As for the dual-phase model, thermal resonance conditions are observed at distinct excitation frequencies. Building on findings of the other models, the case of moving constant-amplitude heat generation is considered, and the occurrences of thermal shock and thermal expansion waves are demonstrated at particular conditions.
publisherThe American Society of Mechanical Engineers (ASME)
titleNonhomogeneous Dual-Phase-Lag Heat Conduction Problem: Analytical Solution and Select Case Studies
typeJournal Paper
journal volume140
journal issue3
journal titleJournal of Heat Transfer
identifier doi10.1115/1.4037775
journal fristpage31301
journal lastpage031301-22
treeJournal of Heat Transfer:;2018:;volume( 140 ):;issue: 003
contenttypeFulltext


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