Solution of Non-Fourier Temperature Field in a Hollow Sphere under Harmonic Boundary Condition

Published:2015-07 Issue: Volume:772 Page:197-203
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Bahrami Amin¹,Hosseinzadeh Siamak²,Ghasemiasl Ramin²,Radmanesh Morteza³

Affiliation:

1. University of Science and Technology

2. Islamic Azad University

3. University College of Rouzbahan

Abstract

Analytical solution of the axisymmetric two-dimensional non-Fourier temperature field within a hollow sphere is investigated considering Cattaneo-Vernotte constitutive equation with general time-dependent heat flux. The material is assumed to be homogeneous and isotropic with temperature-independent thermal properties. The method of solution is the standard separation of variables method. Duhamel integral is used for applying the time-dependent boundary conditions. The presented solution is applied to special case of harmonic heat flux on outer surface.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.772.197.pdf

Reference21 articles.

1. C. Cattaneo: Sur uneforme de l'equation de la chaleurelinant le paradoxed'une propagation instantance. 2. C. R. Acad. Sci. 247, 431-432 (1958).

2. P. Vernotte: Les paradoxes de la theorie continue de l'equation de la chaleur. C. R. Acad. Sci. vol. 246(1958), pp.3154-3155.

3. K.J. Baumeister and T.D. Hamill: Hyperbolic heat conduction equation-a solution for the semi-infinite body problem, J Heat Transfer. Vol. 91(1969), pp.543-548.

4. K.J. Baumeister and T.D. Hamill: Hyperbolic heat conduction equation-a solution for the semi-infinite body problem, J Heat Transfer. Vol. 93(1971), pp.126-127.

5. J. Gembarovic and V. Majernik: Non-Fourier propagation of heat pulses in finite medium, Int. J Heat Mass Transfer. Vol. 31 (1988), pp.1073-1080.

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analytical solution of non-Fourier heat conduction in a 3-D hollow sphere under time-space varying boundary conditions;Heliyon;2022-12

2. Empirical modelling for work piece temperature during end milling of inconel 625 using a green’s function approach based on dirac delta function;Journal of Thermal Engineering;2021-12-30

3. 4E analysis of three different configurations of a combined cycle power plant integrated with a solar power tower system;Sustainable Energy Technologies and Assessments;2021-12

4. Numerical Analysis of Non-Fourier Heat Transfer in a Solid Cylinder with Dual-Phase-Lag Phenomenon;Computer Modeling in Engineering & Sciences;2020

5. Numerical investigation of thermal pulsating alumina/water nanofluid flow over three different cross-sectional channel;International Journal of Numerical Methods for Heat & Fluid Flow;2019-11-04