Two-dimensional analytical model of heat transfer for flames in channels

Veeraragavan, Ananthanarayanan, Dellimore, Kiran and Cadou, Christopher (2009). Two-dimensional analytical model of heat transfer for flames in channels. In: AIAA 39th Thermophysics Conference, Miami FL, United States, (551-559). 25-28 June 2007. doi:10.2514/1.39317

Author Veeraragavan, Ananthanarayanan
Dellimore, Kiran
Cadou, Christopher
Title of paper Two-dimensional analytical model of heat transfer for flames in channels
Conference name AIAA 39th Thermophysics Conference
Conference location Miami FL, United States
Conference dates 25-28 June 2007
Journal name Journal of Thermophysics and Heat Transfer   Check publisher's open access policy
Place of Publication Reston, VA, United States
Publisher American Institute of Aeronautics and Astronautics
Publication Year 2009
Sub-type Fully published paper
DOI 10.2514/1.39317
ISSN 0887-8722
Volume 23
Issue 3
Start page 551
End page 559
Total pages 8
Language eng
Abstract/Summary A two-dimensional model for heat transfer in reacting channel flow with a constant wall temperature is developed along with an analytical solution that relates the temperature field in the channel to the flow Péclet number. The solution is derived from first principles by modeling the flame as a volumetric heat source and by applying jump conditions across the flame for plug and Hagen-Poiseuille velocity profiles and is validated via comparison with more detailed computational fluid dynamics solutions. The analytical solution provides a computationally efficient tool for exploring the effects of varying channel height and gas velocity on the temperature distribution in a channel in which a flame is stabilized. The results show that the Péclet number is the principal parameter controlling the temperature distribution in the channel. It is also found that although the Nusselt number is independent of the Péclet number (or velocity) in the postflame region, it can change by nearly 3 ord ers o f magnitude in the preflame region over the range of Péclet numbers (or velocities) expected in microcombustors. This has important implications for quasi-onedimensional numerical modeling of micro/mesoscale combustion, in which it is usual to select a single Nusselt value from the heat transfer literature.Acorrelation to facilitate incorporation of the streamwise Nusselt number variation is provided.
Keyword Graetz Problem
Axial conduction
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Non-UQ

Document type: Conference Paper
Collection: School of Mechanical & Mining Engineering Publications
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Created: Tue, 22 May 2012, 10:47:45 EST by Katie Gollschewski on behalf of School of Mechanical and Mining Engineering