Volume 11, Issue 3
Acoustic Mode in Plane Free Mixing Layers

Wubing Yang, Zhen Gao, Qing Shen & Qiang Wang

Adv. Appl. Math. Mech., 11 (2019), pp. 630-639.

Published online: 2019-01

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  • 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.

  • Keywords

Supersonic mixing layer, linear stability, disturbance mode.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-630, author = {Yang , Wubing and Gao , Zhen and Shen , Qing and Wang , Qiang}, title = {Acoustic Mode in Plane Free Mixing Layers}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {3}, pages = {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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2018.s07}, url = {http://global-sci.org/intro/article_detail/aamm/12986.html} }
TY - JOUR T1 - Acoustic Mode in Plane Free Mixing Layers AU - Yang , Wubing AU - Gao , Zhen AU - Shen , Qing AU - Wang , Qiang JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 630 EP - 639 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.2018.s07 UR - https://global-sci.org/intro/article_detail/aamm/12986.html KW - Supersonic mixing layer, linear stability, disturbance mode. AB -

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.

Wubing Yang, Zhen Gao, Qing Shen & Qiang Wang. (2020). Acoustic Mode in Plane Free Mixing Layers. Advances in Applied Mathematics and Mechanics. 11 (3). 630-639. doi:10.4208/aamm.2018.s07
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