0
Research Papers: Forced Convection

Transient Thermal Response of Turbulent Compressible Boundary Layers

[+] Author and Article Information
Hongwei Li1

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

M. Razi Nalim2

Department of Mechanical Engineering, Indiana University-Purdue University, Indianapolis, IN 46202mnalim@iupui.edu

Charles L. Merkle

School of Mechanical Engineering, Purdue University, West Lafayette, IN 47907

1

Present address: Department of Civil Engineering, Technical University of Denmark, Denmark.

2

Corresponding author.

J. Heat Transfer 133(8), 081701 (Apr 26, 2011) (8 pages) doi:10.1115/1.4003571 History: Received November 09, 2009; Revised January 25, 2011; Published April 26, 2011; Online April 26, 2011

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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Convected far-field temperature step change and the boundary layer transition on a 2D semi-infinite flat plate

Grahic Jump Location
Figure 2

Transient temperature profiles for case T-600-300-450 with temperature step change ratio RT=2.0

Grahic Jump Location
Figure 3

Transient velocity profiles for case T-600-300-450 with temperature step change ratio RT=2.0

Grahic Jump Location
Figure 4

Scaled nondimensional local Nusselt number transient variation for turbulent flow case T-600-300-450 and laminar flow case L-600-300-450 with temperature step change ratio RT=2.0

Grahic Jump Location
Figure 5

Temperature contours for case T-600-300-450 with temperature step change ratio RT=2.0

Grahic Jump Location
Figure 6

Temperature contour comparison between cases T-600-300-450 and L-600-300-450

Grahic Jump Location
Figure 7

Transient temperature profiles for case T-500-400-300 with temperature step change ratio RT=0.5

Grahic Jump Location
Figure 8

Temperature contours for case T-500-400-300 with temperature step change ratio RT=0.5

Grahic Jump Location
Figure 9

Scaled nondimensional local Nusselt number transient variation for turbulent flow case T-500-400-300 and laminar flow case L-500-400-300 with temperature step change ratio RT=0.5

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In