The New Mode of Instability in Viscous High-Speed Boundary Layer Flows

The New Mode of Instability in Viscous High-Speed Boundary Layer Flows

Year:    2018

Author:    Jie Ren, Youcheng Xi, Song Fu

Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 5 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2017-0298

Advances in Applied Mathematics and Mechanics, Vol. 10 (2018), Iss. 5 : pp. 1057–1068

Published online:    2018-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    12

Keywords:    Boundary layer stability compressible boundary layers high-speed flow.

Author Details

Jie Ren

Youcheng Xi

Song Fu