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 - <p style="text-align: justify;">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 ($U(y) &gt; U_∞$) 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&#39;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.</p>