Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations

This study presents a novel and corrective analysis of Dual-Phase-Lag (DPL) non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations. For general purposes, the 2-D DPL model was employed and solved in a polar coordinate system for an FGM cylind...

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Main Authors: P. Das, M.A. Islam, M.A. Hasib
Format: Article
Language:English
Published: Elsevier 2024-11-01
Series:International Journal of Thermofluids
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666202724003021
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author P. Das
M.A. Islam
M.A. Hasib
author_facet P. Das
M.A. Islam
M.A. Hasib
author_sort P. Das
collection DOAJ
description This study presents a novel and corrective analysis of Dual-Phase-Lag (DPL) non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations. For general purposes, the 2-D DPL model was employed and solved in a polar coordinate system for an FGM cylinder whose material properties vary exponentially in the axial and radial directions. The proposed model's analytical and numerical solutions were obtained through the SOV method and implicit FDM with a non-uniform grid. Moreover, the effect of the inhomogeneity parameter in the Fourier, Cattaneo–Vernotte (C–V), and DPL models has been analyzed. The results indicate that the DPL model achieves temperature stability in less time when contrasted with the C–V model. In addition, the reduced inhomogeneity parameters result in quicker attainment of a steady temperature and the induction of higher temperatures. The thermal wave propagation in the DPL model is consistently greater than that in the C–V model. In addition, an increase in time lag for heat flux enhances thermal wave properties (amplitude, wavelength, propagation speed etc.); conversely, an increase in time lag for temperature gradient counteracts wave properties and augments heat release. Nevertheless, the present outcomes offer a straightforward multivariate analytical and numerical solution for a finite cylinder's non-Fourier heat conduction equation under diverse boundary conditions.
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issn 2666-2027
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publishDate 2024-11-01
publisher Elsevier
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series International Journal of Thermofluids
spelling doaj-art-28c5280e43dd43f9b2efce7690b653562025-08-20T02:50:13ZengElsevierInternational Journal of Thermofluids2666-20272024-11-012410086110.1016/j.ijft.2024.100861Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variationsP. Das0M.A. Islam1M.A. Hasib2Department of Mechanical Engineering, Khulna University of Engineering & Technology, Khulna 9203, Bangladesh; Department of Mechanical Engineering, Bangladesh Army University of Science and Technology, Saidpur, BangladeshDepartment of Mechanical Engineering, Khulna University of Engineering & Technology, Khulna 9203, Bangladesh; Corresponding author.Department of Mechanical Engineering, Khulna University of Engineering & Technology, Khulna 9203, BangladeshThis study presents a novel and corrective analysis of Dual-Phase-Lag (DPL) non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations. For general purposes, the 2-D DPL model was employed and solved in a polar coordinate system for an FGM cylinder whose material properties vary exponentially in the axial and radial directions. The proposed model's analytical and numerical solutions were obtained through the SOV method and implicit FDM with a non-uniform grid. Moreover, the effect of the inhomogeneity parameter in the Fourier, Cattaneo–Vernotte (C–V), and DPL models has been analyzed. The results indicate that the DPL model achieves temperature stability in less time when contrasted with the C–V model. In addition, the reduced inhomogeneity parameters result in quicker attainment of a steady temperature and the induction of higher temperatures. The thermal wave propagation in the DPL model is consistently greater than that in the C–V model. In addition, an increase in time lag for heat flux enhances thermal wave properties (amplitude, wavelength, propagation speed etc.); conversely, an increase in time lag for temperature gradient counteracts wave properties and augments heat release. Nevertheless, the present outcomes offer a straightforward multivariate analytical and numerical solution for a finite cylinder's non-Fourier heat conduction equation under diverse boundary conditions.http://www.sciencedirect.com/science/article/pii/S2666202724003021Non-fourier heat conductionDual-phase lagRelaxation timeFGMAnalytical solutionNumerical solution (FDM)
spellingShingle P. Das
M.A. Islam
M.A. Hasib
Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations
International Journal of Thermofluids
Non-fourier heat conduction
Dual-phase lag
Relaxation time
FGM
Analytical solution
Numerical solution (FDM)
title Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations
title_full Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations
title_fullStr Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations
title_full_unstemmed Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations
title_short Corrective and new research frontier of dual-phase -lag non-fourier heat conduction in functionally graded cylindrical materials with bi-directional property variations
title_sort corrective and new research frontier of dual phase lag non fourier heat conduction in functionally graded cylindrical materials with bi directional property variations
topic Non-fourier heat conduction
Dual-phase lag
Relaxation time
FGM
Analytical solution
Numerical solution (FDM)
url http://www.sciencedirect.com/science/article/pii/S2666202724003021
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AT mahasib correctiveandnewresearchfrontierofdualphaselagnonfourierheatconductioninfunctionallygradedcylindricalmaterialswithbidirectionalpropertyvariations