The instability of steady natural convection of a non-Fourier fluid of the single-phase lagging (SPL) type between two vertical surfaces maintained at different temperatures is studied. SPL fluids possess a relaxation time, which reflects the delay in the response of the heat flux and the temperature gradient. The SPL model is particularly relevant to low-temperature liquids, ultrafast processes, and nanofluids (with a retardation time added in this case). Linear stability analysis is employed to obtain the critical state parameters, such as critical Grashof numbers. For intermediate Prandtl numbers (Pr = 7.5), when non-Fourier level exceeds a certain value, the neutral stability curve comprises a Fourier branch and an oscillatory branch. In this case, oscillatory convection increasingly becomes the mode of preference, compared to both conduction and stationary convection. Critical Grashof number decreases for fluids with higher non-Fourier levels.
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Thermal Convection of a Non-Fourier Fluid in a Vertical Slot
Mohammad Niknami,
Mohammad Niknami
Department of Mechanical and
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
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Roger E. Khayat
Roger E. Khayat
Department of Mechanical and
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
e-mail: rkhayat@uwo.ca
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
e-mail: rkhayat@uwo.ca
Search for other works by this author on:
Mohammad Niknami
Department of Mechanical and
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
Roger E. Khayat
Department of Mechanical and
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
e-mail: rkhayat@uwo.ca
Material Engineering,
University of Western Ontario,
London, ON N6A 5B9, Canada
e-mail: rkhayat@uwo.ca
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received March 6, 2015; final manuscript received November 15, 2015; published online January 27, 2016. Assoc. Editor: Alan McGaughey.
J. Heat Transfer. May 2016, 138(5): 052501 (8 pages)
Published Online: January 27, 2016
Article history
Received:
March 6, 2015
Revised:
November 15, 2015
Citation
Niknami, M., and Khayat, R. E. (January 27, 2016). "Thermal Convection of a Non-Fourier Fluid in a Vertical Slot." ASME. J. Heat Transfer. May 2016; 138(5): 052501. https://doi.org/10.1115/1.4032309
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