In this study, a simple spectral-finite volume approach for hyperbolic heat conduction problems under periodic surface temperature is presented. In this approach, by choosing only three frequencies from a continuum frequency spectrum of the periodic temperature field, the time dependent governing equation is transformed into the steady state one in the frequency domain. Then, using the finite volume technique, temperature field in the frequency domain for each wave number is obtained. Finally, by transforming back the result to the time domain, the temperature field in the time domain would be obtained. This new method has been validated against some published results and a good agreement has been found. Despite the simplicity of the present method, it is able to accurately predict the temperature distribution in the periodic steady state portion of non-Fourier heat conduction problems subjected to periodic surface temperature.

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kharati@sutech.ac.ir
Department of Mechanical and Aerospace Engineering,

omidvar@sutech.ac.ir
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Micro/Nanoscale Heat Transfer

# A New Spectral-Finite Volume Approach in Non-Fourier Heat Conduction Problems With Periodic Surface Disturbances

Masoud Kharati Koopaee,

Masoud Kharati Koopaee

Assistant Professor

Department of Mechanical and Aerospace Engineering,

kharati@sutech.ac.ir
Shiraz University of Technology

, Shiraz 71557-13876, Iran

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Amir Omidvar

Amir Omidvar

Assistant Professor

Department of Mechanical and Aerospace Engineering,

omidvar@sutech.ac.ir
Shiraz University of Technology

, Shiraz 71557-13876, Iran

Search for other works by this author on:

Masoud Kharati Koopaee
Assistant Professor

Department of Mechanical and Aerospace Engineering,

Shiraz University of Technology

, Shiraz 71557-13876, Iran

kharati@sutech.ac.ir

Amir Omidvar
Assistant Professor

Shiraz University of Technology

, Shiraz 71557-13876, Iran

omidvar@sutech.ac.ir

*J. Heat Transfer*. Jun 2012, 134(6): 062403 (7 pages)

**Published Online:**May 8, 2012

Article history

Received:

May 8, 2011

Revised:

October 9, 2011

Online:

May 8, 2012

Published:

May 8, 2012

Citation

Kharati Koopaee, M., and Omidvar, A. (May 8, 2012). "A New Spectral-Finite Volume Approach in Non-Fourier Heat Conduction Problems With Periodic Surface Disturbances." ASME. *J. Heat Transfer*. June 2012; 134(6): 062403. https://doi.org/10.1115/1.4006036

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