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Heat transfer in the boundary layer transition region

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Abstract

A transition zone model with formation of turbulent spots [1] is used to develop a method of calculating the heat flux in the conventional transition region. Allowance is made for the intermittent nature of the flow in the transition region, and subdivisions of the momentum-loss thickness in the laminar and turbulent boundary layers are used in the method of integral relations [2, 3] to evaluate heat flux in an individual turbulent spot; the result is an expression for the heat flux that is in good agreement with experimental data. An important aspect of the method is the choice of location of the actual origin of the turbulent boundary layer relative to the transition region. The actual origin is not fixed at any point, but turns out to be distributed over the whole transition zone.

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Abbreviations

x, y:

coordinates along and normal to the body, respectively

u, H, h:

gas velocity and the total and static enthalpies

p,ρ,μ,σ :

pressure, density, viscosity, and Prandtl number, respectively

r(x):

body surface shape

θ :

momentum-loss thickness

S:

Stanton number

M:

Mach number of the undisturbed stream

v=0 and 1:

two-dimensional and axisymmetrical flow, respectively

Literature cited

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  4. E. R. Eckert, “Engineering methods for computing laminar and turbulent heat transfer and friction in high-speed gas flow over surfaces at constant pressure and temperature,” Vopr. Raketn. Tekh., No. 4 (1957).

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Authors and Affiliations

  1. Moscow

    R. A. Safiullin

Authors
  1. R. A. Safiullin
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Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 6, pp. 92–96, November–December, 1971.

The author thanks V. V. Lunev for his advice and comments.

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Safiullin, R.A. Heat transfer in the boundary layer transition region. Fluid Dyn 6, 989–992 (1971). https://doi.org/10.1007/BF01019808

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  • DOI: https://doi.org/10.1007/BF01019808

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