A Study on the Effect of Mid Layer on Supersonic 2D Double Shear Layer

Abstract This paper considers the canonical problem of a thin shear layer evolution at Reynolds number Re = 400000 using the novel Compact Accurately Boundary Adjusting high-Resolution Technique (CABARET). The study is focused on the effect of the specific mesh refinement in the high shear rate areas on the flow properties under the influence of the developing instability. The original sequence of computational meshes (256^2, 512^2, 1024^2, 2048^2 cells) is modiﬁed using an iterative reﬁnement algorithm based on the hyperbolic tangent. The properties of the solutions obtained are discussed in terms of the initial momentum thickness and the initial vorticity thickness, viscous and dilatational dissipation rates and also integral enstrophy. The growth rate for the most unstable mode depending on the mesh resolution is considered. In conclusion the accuracy of calculated mesh functions is estimated via L1, L2, L∞ norms.

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Instabilities of Confined, Supersonic, Double Shear Layer Flow. A candidate mixing enhancement scheme in two-dimensional flow configuration.

The Journal of the Japan Society of Aeronautical Engineering ◽

10.2322/jjsass1969.45.564 ◽

1997 ◽

Vol 45 (525) ◽

pp. 564-574 ◽

Cited By ~ 1

Author(s):

Akira UMEMURA ◽

Yoichi TAKIHANA

Keyword(s):

Shear Layer ◽

Mixing Enhancement ◽

Two Dimensional ◽

Flow Configuration ◽

Double Shear ◽

Dimensional Flow ◽

Two Dimensional Flow ◽

Layer Flow

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Effects of Spanwise Vortex Contortion on the Growth of Supersonic Double Shear Layer.

JOURNAL OF THE JAPAN SOCIETY FOR AERONAUTICAL AND SPACE SCIENCES ◽

10.2322/jjsass.48.148 ◽

2000 ◽

Vol 48 (556) ◽

pp. 148-154 ◽

Cited By ~ 4

Author(s):

Mikiya ARAKI ◽

Motoki HARADA ◽

Yuichi OGURA ◽

Seiji SHIBA ◽

Keiichi OKAI ◽

...

Keyword(s):

Shear Layer ◽

Double Shear ◽

Spanwise Vortex

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Hydromagnetic stability of parallel flow of an ideal heterogeneous fluid

Journal of Fluid Mechanics ◽

10.1017/s0022112073002491 ◽

1973 ◽

Vol 58 (4) ◽

pp. 777-794 ◽

Cited By ~ 4

Author(s):

Stanley David Gedzelman

Keyword(s):

Magnetic Field ◽

Shear Layer ◽

Ideal Fluid ◽

Longitudinal Magnetic Field ◽

Wave Theory ◽

Stable Stratification ◽

Gravity Vector ◽

Double Shear ◽

Long Wave ◽

The Stability

The magnetohydrodynamic and Boussinesq approximations are used on a fully ionized ideal fluid with a longitudinal magnetic field. The flow is in a direction normal to the gravity vector and all variations in velocity, density and magnetic field. The stability characteristics, mainly for normal-mode perturbations, are investigated. Two simple problems with discontinuous profiles are solved analytically. For a double shear layer, an appropriate range of magnetic field values destabilizes the flow. A long wave theory is presented and applied to several problems, some of which are destabilized by an appropriate magnetic field. Finally, the solution for continuous profiles is presented and shown to decay algebraically in time for any stable stratification.

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