Acoustic Mode in Plane Free Mixing Layers

Acoustic Mode in Plane Free Mixing Layers

Year:    2019

Author:    Wubing Yang, Zhen Gao, Qing Shen, Qiang Wang

Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 3 : pp. 630–639

Abstract

The linear stability of supersoinc mixing layer with the mean velocity profile approximated by the hyperbolic tangent is studied. The convective Mach number of mixing layer is 2 and the temperature ratio is 1. A new classification of disturbance mode of mixing layer is presented to unify the existing results in literature and the new results in this paper. The mixing layer has supersonic and subsonic modes according to the disturbance phase speed. Then the supersonic mode can be classified into mixing mode and acoustic mode. The mixing mode can be further classified into subsonic-supersonic mode and supersonic-subsonic mode according to the relative speed between disturbance phase speed and the free flow speed of mixing layer, which correspond to fast mode and slow mode, respectively. The phase speed of acoustic mode is supersonic with respect to the free flow in both sides of mixing layer and some unstable acoustic modes are found. The acoustic mode has radiation characteristics in both sides of mixing layer and results in a series of expansion and compression fans.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.2018.s07

Advances in Applied Mathematics and Mechanics, Vol. 11 (2019), Iss. 3 : pp. 630–639

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    Supersonic mixing layer linear stability disturbance mode.

Author Details

Wubing Yang

Zhen Gao

Qing Shen

Qiang Wang