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TECHNICAL PAPERS: Forced Convection

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

[+] Author and Article Information
Keith A. Batchelder

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

John K. Eaton

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

J. Heat Transfer 123(1), 70-76 (May 26, 2000) (7 pages) doi:10.1115/1.1336509 History: Received February 09, 2000; Revised May 26, 2000
Copyright © 2001 by ASME
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References

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.
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.
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.
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.
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.
Vick,  B., Beale,  J. H., and Frankel,  J. I., 1987, “Integral Equation Solution for Internal Flow Subjected to a Variable Heat Transfer Coefficient,” ASME J. Heat Transfer, 109, No. 4, pp. 856–860.
Ramanathan, S., and Ortega, A., 1996, “A Uniform Flow Effective Diffusivity Approach for Conjugate Forced Convection From a Discrete Rectangular Source on a Thin Conducting Plate,” Proceedings of 5th ITHERM Conference, Orlando, FL.
Hacker, J., and Eaton, J. K., 1995, “Heat Transfer Measurements in a Backward Facing Step Flow With Arbitrary Wall Temperature Variation,” Thermosciences Division Report MD-71, Mechanical Engineering Department, Stanford University, Stanford, CA.
Hacker,  J. M., and Eaton,  J. K., 1997, “Measurements of Heat Transfer in a Separated and Reattaching Flow With Spatially Varying Thermal Boundary Conditions,” Int. J. Heat Fluid Flow, 18, No. 1, pp. 131–141.
Kays, W. M., and Crawford, M. E., 1980, Convective Heat and Mass Transfer, 2nd ed., McGraw Hill, New York.
Ames, F. A., and Moffat, R. J., 1990, “Heat Transfer in Turbulent Flow,” presented at AIAA/ASME Thermophysics and Heat Transfer Conference, Seattle, USA, ASME HTD, 138 , pp. 11–17.
Farina,  D. J., Hacker,  J., Moffat,  R. J., and Eaton,  J. K., 1994, “Illuminant Invariant Calibration of Thermochromic Liquid Crystals,” Exp. Therm. Fluid Sci., 9, No. 1, pp. 1–12.

Figures

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Discretization of the heat transfer surface
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Two-dimensional finite difference domain with discrete Green’s function thermal boundary condition
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Elements of first column of non-dimensionalized G beginning with second element
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Relative error in elements of first column of non-dimensionalized G
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Apparatus: cross section of short heated strip
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Stanton number for uniform heat flux, steady freestream and high freestream turbulence
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Temperature rise profile, x0=1.75 m,Re=1.74×104
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Comparison of low-turb temp profiles with heated strip at first and last streamwise locations
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First column of G*−1 normalized by g1,1
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Unheated starting length followed by a uniform heat flux boundary condition: STAN7 and experimental discrete Green’s function predictions
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Unheated starting length followed by a uniform temperature boundary condition
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Heat flux response to an unheated starting length followed by a sinusoidal temperature distribution

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