Multiscale analysis of heat transfer in fully developed turbulent channel flow

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Publication Type Manuscript
School or College College of Science
Department Mathematics
Program Center for the Simulation of Accidental Fires and Explosions (C-SAFE)
Creator Fife, Paul C.; McMurtry, Patrick
Other Author Wei, T.; Klewicki, J.
Title Multiscale analysis of heat transfer in fully developed turbulent channel flow
Date 2005-12
Description An analysis is given for fully developed thermal transport through a wall-bounded turbulent fluid with constant heat flux supplied at the boundary. The analysis proceeds from the aver-aged heat equation and utilizes, as principal tools, various scaling considerations. The paper first provides an accounting of the relative dominance of the three terms in that averaged equation, based on existing DNS data. The results show a clear decomposition of the turbulent layer into zones, each with its characteristic transport mechanisms. There follows a theoretical treatment which justifies and greatly extends these empirical results. The main hypothesis in this development is the monotone and limiting dependence of the difference between the specially scaled centerline and wall temperatures on the Prandtl number, a fact well corroborated by DNS data. A fairly complete qualitative and order-of-magnitude quantitative picture emerges for a complete range in Prandtl numbers. It agrees with known empirical information. In a manner similar to previous analyses of turbulent fluid flow in a channel, conditions for the existence or nonexistence of logarithmic-like profiles are found.
Type Text
Publisher Elsevier
Journal Title International Journal of Heat and Mass Transfer
Volume 48
Issue 25-26
First Page 5284
Last Page 5296
DOI 10.1016/j.ijheatmasstransfer.2005.07.035
citatation_issn 179310
Subject Turbulant flow; Channel flow; Heat transfer; Multiscale analysis
Subject LCSH Turbulence -- Mathematical models; Heat -- Transmission -- Mathematical models
Language eng
Bibliographic Citation Wei, T., Fife, P. C., Klewicki, J., & McMurtry, P.(2005). Multiscale analysis of heat transfer in fully developed turbulent channel flow. International Journal of Heat and MassTransfer, 48(25-26), 5284-96.
Rights Management (c) Elsevier The definitive version can be found at http://dx.doi.org/doi:10.1016/j.ijheatmasstransfer.2005.07.035
Format Medium application/pdf
Format Extent 500,102 bytes
Identifier ir-main,6917
ARK ark:/87278/s67h2370
Setname ir_uspace
Date Created 2012-06-13
Date Modified 2012-06-13
ID 707253
Reference URL https://collections.lib.utah.edu/ark:/87278/s67h2370
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