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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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,
e-mail: 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,
e-mail: 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
e-mail: kharati@sutech.ac.ir
Amir Omidvar
Assistant Professor
Department of Mechanical and Aerospace Engineering,
Shiraz University of Technology
, Shiraz 71557-13876, Iran
e-mail: 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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