Volume 11, Issue 3
The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates

Jianxin Liu & Cunbo Zhang

Adv. Appl. Math. Mech., 11 (2019), pp. 559-570.

Published online: 2019-01

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  • Abstract

The secondary instability was investigated in high-speed boundary layers over flat plates by numerical methodology. The numerical simulation suggests that the main streaky structures in 2D hypersonic boundary transition process are resulted from the secondary instability theory caused by the primary 2D Mack mode. The secondary instability analysis found that a new family called fundamental family of solutions was found which is the least stable secondary instability when the amplitude of the primary mode instability reaches a threshold value. It is helpful for us to understand the fundamental breakdown in hypersonic boundary layers.

  • Keywords

Secondary instability, fundamental mode, boundary layers, hypersonic.

  • AMS Subject Headings

76E19, 76N20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-11-559, author = {Liu , Jianxin and Zhang , Cunbo}, title = {The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2019}, volume = {11}, number = {3}, pages = {559--570}, abstract = {

The secondary instability was investigated in high-speed boundary layers over flat plates by numerical methodology. The numerical simulation suggests that the main streaky structures in 2D hypersonic boundary transition process are resulted from the secondary instability theory caused by the primary 2D Mack mode. The secondary instability analysis found that a new family called fundamental family of solutions was found which is the least stable secondary instability when the amplitude of the primary mode instability reaches a threshold value. It is helpful for us to understand the fundamental breakdown in hypersonic boundary layers.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2018.s01}, url = {http://global-sci.org/intro/article_detail/aamm/12980.html} }
TY - JOUR T1 - The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates AU - Liu , Jianxin AU - Zhang , Cunbo JO - Advances in Applied Mathematics and Mechanics VL - 3 SP - 559 EP - 570 PY - 2019 DA - 2019/01 SN - 11 DO - http://doi.org/10.4208/aamm.2018.s01 UR - https://global-sci.org/intro/article_detail/aamm/12980.html KW - Secondary instability, fundamental mode, boundary layers, hypersonic. AB -

The secondary instability was investigated in high-speed boundary layers over flat plates by numerical methodology. The numerical simulation suggests that the main streaky structures in 2D hypersonic boundary transition process are resulted from the secondary instability theory caused by the primary 2D Mack mode. The secondary instability analysis found that a new family called fundamental family of solutions was found which is the least stable secondary instability when the amplitude of the primary mode instability reaches a threshold value. It is helpful for us to understand the fundamental breakdown in hypersonic boundary layers.

Jianxin Liu & Cunbo Zhang. (2019). The Fundamental Secondary Instability of the Primary Mack Mode in Hypersonic Boundary Layers on Flat Plates. Advances in Applied Mathematics and Mechanics. 11 (3). 559-570. doi:10.4208/aamm.2018.s01
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