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Non-Fourier heat conduction in a hollow sphere with periodic surface heat flux

✍ Scribed by Reza Shirmohammadi; Amin Moosaie

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
340 KB
Volume
36
Category
Article
ISSN
0735-1933

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✦ Synopsis

Presented is the analysis of non-Fourier effect in a hollow sphere exposed to a periodic boundary heat flux. The problem is studied by deriving an analytical solution of the hyperbolic heat conduction equation. Using the obtained analytical expression, the temperature profiles at outer and inner surfaces of the sphere are evaluated for various thermal relaxation times. By comparing the results of non-Fourier model with those obtained from Fourier heat conduction equation, the transition process from parabolic model to hyperbolic one is shown. The phase difference and amplitude ratio of boundary surfaces are calculated as functions of the thermal relaxation time and the results are depicted graphically.

πŸ“œ SIMILAR VOLUMES

Non-Fourier heat conduction in a finite
Non-Fourier heat conduction in a finite medium subjected to arbitrary periodic surface disturbance
✍ Amin Moosaie πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 161 KB

The non-Fourier transient heat conduction in a finite medium under arbitrary periodic surface thermal disturbance is investigated analytically. In order to obtain the desired temperature field from the known solution for non-Fourier heat conduction under a harmonic disturbance, the principle of supe