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

Jie Ren ,  Youcheng Xi and Song Fu

10.4208/aamm.OA-2017-0298

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

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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.

  • History

Published online: 2018-07

  • AMS Subject Headings

65M10, 78A48

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