Numerical Analysis of Non-Fourier Heat Transfer in a Solid Cylinder with Dual-Phase-Lag Phenomenon

In this study, transient non-Fourier heat transfer in a solid cylinder is analytically solved based on dual-phase-lag for constant axial heat flux condition. Governing equations for the model are expressed in two-dimensional cylindrical coordinates; the equations are nondimensionalized and exact sol...

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Bibliographic Details
Published inComputer modeling in engineering & sciences Vol. 122; no. 1; pp. 399 - 414
Main Authors H. Ghasemi, M., Hoseinzadeh, S., S. Heyns, P., N. Wilke, D.
Format Journal Article
LanguageEnglish
Published Henderson Tech Science Press 01.01.2020
Subjects
Cylinders
Cylindrical Coordinate
Cylindrical coordinates
Diffusion rate
Dual-Phase-Lag
Exact Solution
Exact solutions
Heat flux
Heat transfer
Mathematical analysis
Mathematical models
Non-Fourier Heat Transfer
Numerical analysis
Phase lag
Relaxation time
Two dimensional models
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Summary:In this study, transient non-Fourier heat transfer in a solid cylinder is analytically solved based on dual-phase-lag for constant axial heat flux condition. Governing equations for the model are expressed in two-dimensional cylindrical coordinates; the equations are nondimensionalized and exact solution for the equations is presented by using the separation of variable method. Results showed that the dual-phase-lag model requires less time to meet the steady temperature compared with single-phase-lag model. On the contrary, thermal wave diffusion speed for the dual-phase-lag model is greater than the single-phase-lag model. Also the effect of relaxation time in dual-phase-lag model has been taken on consideration.
Bibliography:1526-1492(20200115)122:1L.399;1-
ISSN:1526-1492
1526-1506
1526-1506
DOI:10.32604/cmes.2020.07827