English

The new mode of instability in viscous high-speed boundary layer flows

Fluid Dynamics 2020-05-14 v1

Abstract

The new mode of instability found by Tunney et al. 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)>UU(y)>U_\infty) in the base flow. The present study shows that under practical Reynolds numbers, the new mode can hardly co-exist with 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

Cite

@article{arxiv.1808.01943,
  title  = {The new mode of instability in viscous high-speed boundary layer flows},
  author = {Jie Ren and Youcheng Xi and Song Fu},
  journal= {arXiv preprint arXiv:1808.01943},
  year   = {2020}
}

Comments

12 pages, 6 figures, published at http://www.global-sci.org/intro/article_detail.html?journal=aamm&article_id=12587