An analytical solution for the temperature distribution in 2D laminar reacting flow between closely spaced parallel plates is derived as part of a larger effort to develop a nonintrusive technique for measuring gas temperature distributions in millimeter and submillimeter scale channel flows. The results show that the exact solution, a Fourier series, which is a function of the Peclet number, is approximated by second and fourth order polynomial fits to an value of almost unity for both fits. The slopes of the temperature near the wall (heat fluxes) are captured to within 20% of the exact solution using a second order polynomial and to within 2% of the exact solution using a fourth order polynomial. The fits are used in a nonintrusive Fourier transform infrared spectroscopy technique and enable one to infer the temperature distribution along an absorbing gas column from the measured absorption spectrum. The technique is demonstrated in a silicon-walled microcombustor.
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e-mail: cadou@eng.umd.edu
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December 2008
This article was originally published in
Journal of Heat Transfer
Technical Briefs
Heat Transfer in Mini∕Microchannels With Combustion: A Simple Analysis for Application in Nonintrusive IR Diagnostics
Ananthanarayanan Veeraragavan,
Ananthanarayanan Veeraragavan
Department of Aerospace Engineering,
University of Maryland
, College Park, MD 20742
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Christopher P. Cadou
Christopher P. Cadou
Department of Aerospace Engineering,
e-mail: cadou@eng.umd.edu
University of Maryland
, College Park, MD 20742
Search for other works by this author on:
Ananthanarayanan Veeraragavan
Department of Aerospace Engineering,
University of Maryland
, College Park, MD 20742
Christopher P. Cadou
Department of Aerospace Engineering,
University of Maryland
, College Park, MD 20742e-mail: cadou@eng.umd.edu
J. Heat Transfer. Dec 2008, 130(12): 124504 (5 pages)
Published Online: September 23, 2008
Article history
Received:
July 19, 2007
Revised:
June 23, 2008
Published:
September 23, 2008
Citation
Veeraragavan, A., and Cadou, C. P. (September 23, 2008). "Heat Transfer in Mini∕Microchannels With Combustion: A Simple Analysis for Application in Nonintrusive IR Diagnostics." ASME. J. Heat Transfer. December 2008; 130(12): 124504. https://doi.org/10.1115/1.2969760
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