Practical Experience With the Discrete Green’s Function Approach to Convective Heat Transfer

Author:

Batchelder Keith A.1,Eaton John K.2

Affiliation:

1. Genomic Instrumentation Services, Inc., 935 Washington Street, San Carlos, CA 94070

2. Department of Mechanical Engineering, Thermosciences Division, Stanford University, Stanford, CA 94305-3030

Abstract

The heat transfer from a short uniform heat flux strip beneath a turbulent boundary layer with and without freestream turbulence was measured using a liquid crystal imaging technique. Freestream turbulence intensities were on the order of 12 percent. Data were taken at momentum thickness Reynolds numbers on the order of 1000 and 2000 for the turbulent and steady freestreams, respectively. Heat transfer enhancement due to the presence of freestream turbulence was quantified in terms of the ratio of the average St’s on the strip: turbulent freestream divided by steady freestream. Compared to the baseline case of a uniformly heated surface upstream of the strip, the heat transfer enhancement decreased by 20 percent. The temperature distribution measured on and downstream of the heated strip represented one column of a discrete Greens function that was used to predict the heat transfer for any arbitrarily specified thermal boundary condition given the same flowfield. Predictions are compared against correlations and numerical predictions as well as data from the literature. The details and practical applications of this approach to handling heat transfer with non-uniform thermal boundary conditions are presented.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science

Reference12 articles.

1. Rubesin, M. W., 1951, “The Effect of an Arbitrary Surface Temperature Variation on the Convective Heat Transfer in an Incompressible Turbulent Boundary Layer,” NACA TN 2345.

2. Sellars, J. R., Tribus, M., and Klein, S. J., 1956, “Heat Transfer to Laminar Flow in a Round Tube or Flat Conduit—the Graetz Problem Extended,” Trans. ASME, 78, pp. 441–448.

3. Reynolds, W. C., Kays, W. M., and Kline, S. J., 1958, “Heat Transfer in the Turbulent Incompressible Boundary Layer: II—Step Wall Temperature Distribution,” NASA Memo 12-2-58W, Washington.

4. Arvizu, D. E., and Moffat, R. J., 1981, “Experimental Heat Transfer From an Array of Heated Cubical Elements on an Adiabatic Channel Wall,” Thermosciences Division Report HMT-33, Mechanical Engineering Department, Stanford University, Stanford, CA.

5. Anderson, A., and Moffat, R. J., 1990, “Convective Heat Transfer From Arrays of Modules With Non-Uniform Heating: Experiments and Models,” Thermosciences Division Report HMT-43, Mechanical Engineering Department, Stanford University, Stanford, CA.

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