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Volume 10, Issue 5
The New Mode of Instability in Viscous High-Speed Boundary Layer Flows

Jie Ren, Youcheng Xi & Song Fu

Adv. Appl. Math. Mech., 10 (2018), pp. 1057-1068.

Published online: 2018-07

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  • Abstract

The new mode of instability found by Tunney et al. [24] is studied with viscous stability theory in this article. When the high-speed boundary layer is subject to certain values of favorable pressure gradient and wall heating, a new mode becomes unstable due to the appearance of the streamwise velocity overshoot ($U(y) > U_∞$) in the base flow. The present study shows that under practical Reynolds numbers, the new mode can hardly co-exist with the conventional first mode and Mack's second mode. Due to the requirement for additional wall heating, the new mode may only lead to laminar-turbulent transition under experimental (artificial) conditions.

  • Keywords

Boundary layer stability, compressible boundary layers, high-speed flow.

  • AMS Subject Headings

65M10, 78A48

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-10-1057, author = {Jie and Ren and and 19088 and and Jie Ren and Youcheng and Xi and and 19089 and and Youcheng Xi and Song and Fu and and 19090 and and Song Fu}, title = {The New Mode of Instability in Viscous High-Speed Boundary Layer Flows}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {5}, pages = {1057--1068}, abstract = {

The new mode of instability found by Tunney et al. [24] is studied with viscous stability theory in this article. When the high-speed boundary layer is subject to certain values of favorable pressure gradient and wall heating, a new mode becomes unstable due to the appearance of the streamwise velocity overshoot ($U(y) > U_∞$) in the base flow. The present study shows that under practical Reynolds numbers, the new mode can hardly co-exist with the conventional first mode and Mack's second mode. Due to the requirement for additional wall heating, the new mode may only lead to laminar-turbulent transition under experimental (artificial) conditions.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0298}, url = {http://global-sci.org/intro/article_detail/aamm/12587.html} }
TY - JOUR T1 - The New Mode of Instability in Viscous High-Speed Boundary Layer Flows AU - Ren , Jie AU - Xi , Youcheng AU - Fu , Song JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1057 EP - 1068 PY - 2018 DA - 2018/07 SN - 10 DO - http://doi.org/10.4208/aamm.OA-2017-0298 UR - https://global-sci.org/intro/article_detail/aamm/12587.html KW - Boundary layer stability, compressible boundary layers, high-speed flow. AB -

The new mode of instability found by Tunney et al. [24] is studied with viscous stability theory in this article. When the high-speed boundary layer is subject to certain values of favorable pressure gradient and wall heating, a new mode becomes unstable due to the appearance of the streamwise velocity overshoot ($U(y) > U_∞$) in the base flow. The present study shows that under practical Reynolds numbers, the new mode can hardly co-exist with the conventional first mode and Mack's second mode. Due to the requirement for additional wall heating, the new mode may only lead to laminar-turbulent transition under experimental (artificial) conditions.

Jie Ren, Youcheng Xi & Song Fu. (1970). The New Mode of Instability in Viscous High-Speed Boundary Layer Flows. Advances in Applied Mathematics and Mechanics. 10 (5). 1057-1068. doi:10.4208/aamm.OA-2017-0298
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