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Solution of the problem of the supersonic laminar off-design jet in a parallel flow using a difference method

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Abstract

A finite difference method is proposed for solving the simplified Navier-Stokes equations for the case of a supersonic laminar off-design jet issuing into a parallel supersonic stream. Calculations are made of underexpanded and overexpanded jets for various Reynolds numbers.

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Abbreviations

M:

Mach number

R:

Reynolds number

R:

(ρur)/μ

P:

Prandtl number

p:

pressure

ρ:

density

T:

temperature

u:

longitudinal velocity component

v:

transverse velocity component

r:

characteristic initial jet radius

μ:

viscosity

λ:

thermal conductivity

1:

flow parameters on jet axis at initial section

2:

outer undisturbed stream

References

  1. T. G. Volonskaya, “Calculations of supersonic axisymmetric jets”, Sb. rabot Vychisl. tsentra Mosk. un-ta, no. 2, 1963.

  2. E. A. Ashratov, “Calculations of axisymmetric jet leaving a nozzle at jet pressure lower than pressure in medium”, Izv. AN SSSR, MZhG [Fluid Dynamics], no. 1, 1966.

  3. V. M. Emel'yanov, “Calculation of axisymmetric supersonic jet flowing into a supersonic wake or a stationary medium”, Inzh. zh. [Soviet Engineering Journal], vol. 5, no. 3, 1965.

  4. G. N. Abramovich, Theory of Turbulent Jets [in Russian], Fizmatgiz, Moscow, 1960.

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  5. S. I. Pai, Jet Theory [Russian translation], Fizmatgiz, Moscow, 1960.

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  6. W. D. Hayes and R. F. Probstein, Hypersonic Flow Theory [Russian translation], Izd-vo inostr. lit., Moscow, 1962.

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  7. I. Yu. Brailovskaya and L. A. Chudov, “Solution of the boundary layer equation by a difference method”, collection: Computational Methods and Programming [in Russian], Izd-vo MGU, Sb. rabot Vychisl. tsentra Mosk. un-ta, no. 1, 1962.

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Authors and Affiliations

  1. Moscow

    E. N. Bondarev & A. N. Gorina

Authors
  1. E. N. Bondarev
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  2. A. N. Gorina
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Bondarev, E.N., Gorina, A.N. Solution of the problem of the supersonic laminar off-design jet in a parallel flow using a difference method. Fluid Dyn 3, 76–78 (1968). https://doi.org/10.1007/BF01019200

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  • DOI: https://doi.org/10.1007/BF01019200

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