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ARTICLE

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

M. H. Ghasemi¹, S. Hoseinzadeh^{2, 3, *}, P. S. Heyns², D. N. Wilke²

1 Department of Mechanical Engineering, West Tehran Branch, Islamic Azad University, Tehran, Iran.
2 Centre for Asset Integrity Management, Department of Mechanical and Aeronautical Engineering, University of Pretoria, Pretoria, South Africa.
3 Young Researchers and Elite Club, West Tehran Branch, Islamic Azad University, Tehran, Iran.

* Corresponding Author: Siamak Hoseinzadeh. Email: ;
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Computer Modeling in Engineering & Sciences 2020, 122(1), 399-414. https://doi.org/10.32604/cmes.2020.07827

Received 02 July 2019; Accepted 12 November 2019; Issue published 01 January 2020

Abstract

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.

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Citations