Advertisement

Determination of the heat transfer properties of a turbulent boundary layer in the case of supersonic flow when the temperature distribution along the constraining wall is arbitrarily assigned

  • Carlo Ferrari

Summary

In this investigation of the turbulent boundary layer in the compressible regime, the heat transfer is determined, at the wall, under the assumption that the temperature distribution along the wall is arbitrarily assigned, but with the proviso that there is not to be any pressure gradient present in the external potential flow. This objective is attained by making use of a method that may be considered to be an extension of the one employed previously by Lighthill [1] in his treatment of the analogous problem which arises in the laminar regime, and recourse is also had to an opportune hypothesis concerning the nature of the velocity distribution across the boundary layer in supersonic flow (which is substantiated by cited experimental results). In addition, the corresponding temperature distribution through the boundary layer is also adduced.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Lighthill, M. J. : Contributions to the Theory of Heat Transfer Through a Laminar Boundary Layer. Proceedings of the Royal Society of London, Series A, Vol. 202, No. A 1070, pp. 359–378, 7 August 1950.Google Scholar
  2. [2]
    von Kármán, Th.: Turbulence and Skin Friction. Journal of the Aeronautical Sciences, Vol. 1, No. 1, pp. 1–20, January 1934.CrossRefGoogle Scholar
  3. [3]
    Wilson, R. E., Young, E. C, and Thompson, M. J.: 2nd Interim Report on Experimentally Determined Turbulent Boundary Layer Characteristics at Supersonic Speeds. Un. of Texas, Defense Research Laboratory, DRL Report No. 196, UT/CM-501, Austin, Jan. 25, 1949.Google Scholar
  4. [4]
    Monaghan, R. J., and Cooke, J. R.: The Measurement of Heat Transfer and Skin Friction at Supersonic Speeds. Part III, Measurements of Overall Heat Transfer and of the Associated Boundary Layers on a Flat Plate at M 1 = 2.43. Aeronautical Research Council Technical Note No. Aero. 2129, Current Papers No. 139, London, December 1951.Google Scholar
  5. [5]
    Donaldson, C. P. : On the Form of the Turbulent Skin-Friction Law and Its Extension to Compressible Flows. NACA Technical Note No. 2692, Washington, May 1952.Google Scholar
  6. [6]
    Colburn, A. P.: A Method of Correlating Forced Convection Heat Transfer Data and a Comparison with Fluid Friction. Transactions of the American Institute of Chemical Engineers, Vol. 29, pp. 174–210, 1933.Google Scholar
  7. [7]
    Reichardt, H.: Die Wärmeübertragung in turbulenten Reibungsschichten (Heat Transfer in the Turbulent Boundary Layer). Zeitschrift für angew, Mathem. und Mech., Vol. 20, No. 20, No. 6, p. 327, December 1940.MathSciNetGoogle Scholar
  8. [8]
    Scesa, S.: Experimental Investigation of Convective Heat Transfer to Air from a Flat Plate with a Stepwise Discontinuous Surface Temperature. M. S. Thesis at University of California, Berkeley, February 1951.Google Scholar
  9. [9]
    Rubesin, M. W.: The Effect of an Arbitrary Surface-Temperature Varaition Along a Flat Plate on the Convective Heat Transfer in an Incompressible Turbulent Boundary Layer. NACA Technical Note No. 2345, Washington, April 1951.Google Scholar
  10. [10]
    Scesa, S., and Sauer, F. M.: An Experimental Investigation of Convective Heat Transfer to Air from a Mat Plate with a Stepwise Discontinuous Surface Temperature. Transactions of the American Society of Mechanical Engineers, Vol. 74, No. 7, pp. 1251–1255, October 1952.Google Scholar
  11. [11]
    Colder, K. L.: Eddy Diffusion and Evaporation in Flow Over Aerodynamically Smooth and Rough Surfaces; A Treatment Based on Laboratory Laws of Turbulent Flow with Special Reference to Conditions in the Lower Atmosphere. The Quarterly Journal of Mechanics and Applied Mathematics, Vol. 2, Part 2, pp. 153–176, June 1949.CrossRefMathSciNetGoogle Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1955

Authors and Affiliations

  • Carlo Ferrari
    • 1
  1. 1.Politecnico di TorinoItaly

Personalised recommendations