Non-equilibrium,nonlinear critical layers in laminar-turbulent transition |
| |
Authors: | W Xuesong |
| |
Institution: | (1) Department of Mechanics, Tianjin University, 300072 Tianjin, China;(2) LiuHui Center for Applied Mathematics, Nankai University & Tianjin University, 300072 Tianjin, China |
| |
Abstract: | We describe some recent developments of high-Reynolds-number asymptotic theory for the nonlinear stage of laminar-turbulent
transition in nearly parallel flows. The classic weakly nonlinear theory of Landau and Stuart is briefly revisited with the
dual purposes of highlighting its fundamental ideas, which continue to underlie much of current theoretical thinking, as well
as its difficulty in dealing with unbounded flows. We show that resolving such a difficulty requires an asymptotic approach
based on the high-Reynolds-number assumption, which leads to a nonlinear critical-layer theory. Major recent results are reviewed
with emphasis on the non-equilibrium effect. Future directions of investigation are indicated. |
| |
Keywords: | Instability transition turbulence non-equilibrium critical layer |
本文献已被 维普 SpringerLink 等数据库收录! |
|