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Application of Schmidt's method to the calculation of Spalding's function and of the skin-friction coefficient in turbulent flow

Joseph Kestin L. N Persen; Aerospace Research Laboratories (U.S.); Brown University

Wright-Patterson Air Force Base, Ohio Aerospace Research Laboratory, Office of Aerospace Research, United States Air Force 1961

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  • Título:
    Application of Schmidt's method to the calculation of Spalding's function and of the skin-friction coefficient in turbulent flow
  • Autor: Joseph Kestin
  • L. N Persen; Aerospace Research Laboratories (U.S.); Brown University
  • Assuntos: Heat -- Transmission; ENGENHARIA DE AERONAVES; CALOR (TRANSMISSÃO); ANÁLISE NUMÉRICA; Thermal diffusivity; Turbulent boundary layer; Skin friction (Aerodynamics); Numerical analysis
  • Notas: Includes bibliographical references (p. 15).
  • Descrição: This report describes the details of the numerical computation of the so-called Spalding function which occurs in the theory of heat transfer across tubulent boundary layers. The present calculation is confined to the case when the Prandtl number Pr = 1 and when the assumption of a constant turbulent Prandtl number equal to unity can be made.
    The method used is a modification of E. Schmidt's numerical scheme for the integration of the time-dependent, one-dimensional Fourier equation of heat conduction. In the present case, the term which plays the part of thermal diffusivity depends on the analog of the space-coordinate and renders the equation singular at the origin. The singularity is circumvented by making use of the fact that the temperature profiles must possess zero curvature at the wall.
    By the use of the Reynolds analogy for turbulent boundary layers it is shown that the preceding calculations can be used to obtain a relation between the skin friction coefficient and the length Reynolds number for a flat plate wetted by a turbulent boundary layer. The integration is very simple and provides a method of judging the accuracy of D. B. Spalding's law of the wall. This turns out to be reasonably satisfactory.
  • Títulos relacionados: Série:Aerospace Research Laboratories (U.S.) ARL 169/PT.2
  • Editor: Wright-Patterson Air Force Base, Ohio Aerospace Research Laboratory, Office of Aerospace Research, United States Air Force
  • Data de criação/publicação: 1961
  • Formato: v, 19 p ill. 28 cm..
  • Idioma: Inglês
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