Thin-layer approximation and algebraic model for separated turbulentflows

1978 ◽  
Author(s):  
B. BALDWIN ◽  
H. LOMAX
Keyword(s):  
Thin Layer ◽  
Algebraic Model ◽  
Thin Layer Approximation

Thin-layer approximation for three-dimensional supersonic corner flows

AIAA Journal ◽  
1980 ◽  
Vol 18 (12) ◽  
pp. 1544-1546 ◽  
Author(s):  
C. M. Hung ◽  
Seth S. Kurasaki
Keyword(s):  
Thin Layer ◽  
Three Dimensional ◽  
Thin Layer Approximation ◽  
Corner Flows

Instability of a viscous coflowing jet in a radial electric field

2008 ◽  
Vol 596 ◽  
pp. 285-311 ◽  
Author(s):  
FANG LI ◽  
XIE-YUAN YIN ◽  
XIE-ZHEN YIN
Keyword(s):  
Relaxation Time ◽  
Electric Field ◽  
Thin Layer ◽  
Euler Number ◽  
Radial Electric Field ◽  
Dispersion Relations ◽  
Time Limit ◽  
Liquid Viscosity ◽  
Electrical Relaxation ◽  
Thin Layer Approximation

A temporal linear instability analysis of a charged coflowing jet with two immiscible viscous liquids in a radial electric field is carried out for axisymmetric disturbances. According to the magnitude of the liquid viscosity relative to the ambient air viscosity, two generic cases are considered. The analytical dimensionless dispersion relations are derived and solved numerically. Two unstable modes, namely the para-sinuous mode and the para-varicose mode, are identified in the Rayleigh regime. The para-sinuous mode is found to always be dominant in the jet instability. Liquid viscosity clearly stabilizes the growth rates of the unstable modes, but its effect on the cut-off wavenumber is negligible. The radial electric field has a dual effect on the modes, stabilizing them when the electrical Euler number is smaller than a critical value and destabilizing them when it exceeds that value. Moreover, the electrical Euler number and Weber number increase the dominant and cut-off wavenumbers significantly. Based on the Taylor–Melcher leaky dielectric theory, two limit cases, i.e. the small electrical relaxation time limit (SERT) and the large electrical relaxation time limit (LERT), are discussed. For coflowing jets having a highly conducting outer liquid, SERT may serve as a good approximation. In addition, the dispersion relations under the thin layer approximation are derived, and it is concluded that the accuracy of the thin layer approximation is closely related to the values of the dimensionless parameters.

scholarly journals Thin Layer Approximation in 3-D

1997 ◽  
Vol 166 ◽  
pp. 137-140
Author(s):  
G.S. Bisnovatyi-Kogan ◽  
S.A. Silich
Keyword(s):  
Shock Waves ◽  
Thin Layer ◽  
Density Distribution ◽  
Interstellar Matter ◽  
Thin Layer Approximation

AbstractEquations are derived which describe the propagation of strong shocks in the interstellar matter, without any restrictions for symmetry, in a thin layer approximation (2.5 dimensions). Using these equations permits to calculate the propagation of shock waves from nonsymmetric supernovae explosions in a medium with arbitrary density distribution and the formation of superbubbles in galaxies.

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