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 = {}, 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 JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 1057 EP - 1068 PY - 2018 DA - 2018/07 SN - 10 DO - http://dor.org/10.4208/aamm.OA-2017-0298 UR - https://global-sci.org/intro/aamm/12587.html KW - Boundary layer stability KW - compressible boundary layers KW - 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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