Direct numerical simulation (DNS) has been used to investigate heat transfer and provide thermal statistics in a transitional flow in which turbulent wakes traversing the inlet periodically are swept downstream across a constant-temperature flat-plate. The same heat transfer problem was also computed using unsteady Reynolds-averaged Navier-Stokes (RANS) method with the turbulence model. During transition, the instantaneous Stanton number field exhibits spotlike structure, which in turn results in a strong streamwise modulation in the phase-averaged Stanton number distribution. At molecular Prandtl number the Reynolds analogy factor decreases in the transitional region but remains nearly constant afterwards. After the completion of transition, mean and second-order temperature statistics are in good agreement with previous experimental data from slightly heated turbulent flat-plate boundary layers. Throughout the transitional and turbulent regions the turbulent Prandtl number increases sharply as the wall is asymptotically approached. DNS results at a higher wake passing frequency are also presented to illustrate the effect of freestream turbulence. Unsteady RANS predictions of the time- and phase-averaged Stanton numbers as well as the enthalpy thickness are in reasonable agreement with the DNS. [S0022-1481(00)02002-8]
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e-mail: Wu@transition.stanford.edu
e-mail: Durbin@vonkarman.stanford.edu
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Numerical Simulation of Heat Transfer in a Transitional Boundary Layer With Passing Wakes
X. Wu,
e-mail: Wu@transition.stanford.edu
X. Wu
Center for Integrated Turbulence Simulation and Department of Mechanical Engineering, Stanford University, Building 500, Stanford, CA 94305-3030
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P. A. Durbin
e-mail: Durbin@vonkarman.stanford.edu
P. A. Durbin
Center for Integrated Turbulence Simulation and Department of Mechanical Engineering, Stanford University, Building 500, Stanford, CA 94305-3030
Search for other works by this author on:
X. Wu
Center for Integrated Turbulence Simulation and Department of Mechanical Engineering, Stanford University, Building 500, Stanford, CA 94305-3030
e-mail: Wu@transition.stanford.edu
P. A. Durbin
Center for Integrated Turbulence Simulation and Department of Mechanical Engineering, Stanford University, Building 500, Stanford, CA 94305-3030
e-mail: Durbin@vonkarman.stanford.edu
Contributed by the Heat Transfer Division for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received by the Heat Transfer Division, Jan. 30, 1999; revision received, Nov. 29, 1999. Associate Technical Editor: R. Douglass.
J. Heat Transfer. May 2000, 122(2): 248-257 (10 pages)
Published Online: November 29, 1999
Article history
Received:
January 30, 1999
Revised:
November 29, 1999
Citation
Wu, X., and Durbin, P. A. (November 29, 1999). "Numerical Simulation of Heat Transfer in a Transitional Boundary Layer With Passing Wakes ." ASME. J. Heat Transfer. May 2000; 122(2): 248–257. https://doi.org/10.1115/1.521485
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