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The initial section of a plane nonisothermal jet developing under asymmetric conditions with and without combustion

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Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

A solution of the problem obtained with the method of integral relations is given here. It is obtained in the form of simple algebraic formulas for the boundaries of the mixing zones on both sides of the jet, the position of the flame front, and the axis of the jet at the end of the initial section. It is found that asymmetry of the boundary conditions has a substantial effect on the characteristics of the jet: the position of the axis of the jet at the end of the initial section can change its sign, depending on the temperature ratio at the boundaries of the jet and for given ratios of the velocity at the boundaries of the jet to the velocity of the jet outflow, the length of the initial section can change several fold.

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Abbreviations

b 0 :

width of the slot

L :

stoichiometric ratio

m :

ratio of the flow velocity to the velocity in the jet core

R c :

radius of the chamber

T :

temperature

u :

velocity

x, y :

instantaneous longitudinal and transverse coordinates

x in :

length of the initial section

y 0 :

ordinate of the jet at the end of the initial section

y f.f :

ordinate of the flame front

β=l i / δ i ;δ:

width of the mixing zone

κ:

concentration

μ:

specific weight of the gas

ρ:

density of the gas. Subscripts: 0, core of the jet

1, 2:

inside and outside of the jet

11, 12:

refers to internal and external boundaries of the mixing zone from outside of the jet

12, 11:

refers to the internal and external boundaries of the mixing zone from inside of the jet

i :

1

N :

neutral gas

fu:

fuel

in:

initial section

ox:

oxidizer; c.p, combustion products

f.f:

flame front

σ1, σ2:

refer to a parameter on the internal and external boundaries of the jet

References

  1. G. N. Abramovich, T. A. Girshovich, S. Yu. Krasheninnikov, et al., The Theory of Turbulent Jets [in Russian], Moscow (1984).

  2. G. N. Abramovich, The Theory of Turbulent Jets [in Russian], Moscow (1960).

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Authors
  1. S. K. Voronov
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  2. T. A. Girshovich
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Additional information

Moscow State Aviation Institute, Moscow, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 68, No. 3, pp. 372–379, May–June, 1995.

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Voronov, S.K., Girshovich, T.A. The initial section of a plane nonisothermal jet developing under asymmetric conditions with and without combustion. J Eng Phys Thermophys 68, 313–319 (1995). https://doi.org/10.1007/BF00859041

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  • DOI: https://doi.org/10.1007/BF00859041

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