@Article{AAMM-10-5, author = {Ren, Jie and Youcheng, Xi 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 = {https://global-sci.com/article/73212/the-new-mode-of-instability-in-viscous-high-speed-boundary-layer-flows} }