A numerical method is developed with the capability to predict transient thermal boundary layer response under various flow and thermal conditions. The transient thermal boundary layer variation due to a moving compressible turbulent fluid of varying temperature was numerically studied on a two-dimensional semi-infinite flat plate. The compressible Reynolds-averaged boundary layer equations are transformed into incompressible form through the Dorodnitsyn–Howarth transformation and then solved with similarity transformations. Turbulence is modeled using a two-layer eddy viscosity model developed by Cebeci and Smith, and the turbulent Prandtl number formulation originally developed by Kays and Crawford. The governing differential equations are discretized with the Keller-box method. The numerical accuracy is validated through grid-independence studies and comparison with the steady state solution. In turbulent flow as in laminar, the transient heat transfer rates are very different from that obtained from quasi-steady analysis. It is found that the time scale for response of the turbulent boundary layer to far-field temperature changes is 40% less than for laminar flow, and the turbulent local Nusselt number is approximately 4 times that of laminar flow at the final steady state.
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Transient Thermal Response of Turbulent Compressible Boundary Layers
Hongwei Li,
Hongwei Li
School of Mechanical Engineering,
Purdue University
, West Lafayette, IN 47907
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M. Razi Nalim,
M. Razi Nalim
Department of Mechanical Engineering,
e-mail: mnalim@iupui.edu
Indiana University-Purdue University
, Indianapolis, IN 46202
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Charles L. Merkle
Charles L. Merkle
School of Mechanical Engineering,
Purdue University
, West Lafayette, IN 47907
Search for other works by this author on:
Hongwei Li
School of Mechanical Engineering,
Purdue University
, West Lafayette, IN 47907
M. Razi Nalim
Department of Mechanical Engineering,
Indiana University-Purdue University
, Indianapolis, IN 46202e-mail: mnalim@iupui.edu
Charles L. Merkle
School of Mechanical Engineering,
Purdue University
, West Lafayette, IN 47907J. Heat Transfer. Aug 2011, 133(8): 081701 (8 pages)
Published Online: April 26, 2011
Article history
Received:
November 9, 2009
Revised:
January 25, 2011
Online:
April 26, 2011
Published:
April 26, 2011
Citation
Li, H., Nalim, M. R., and Merkle, C. L. (April 26, 2011). "Transient Thermal Response of Turbulent Compressible Boundary Layers." ASME. J. Heat Transfer. August 2011; 133(8): 081701. https://doi.org/10.1115/1.4003571
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