NON-EQUILIBRIUM, NONLINEAR CRITICAL LAYERS IN LAMINAR-TURBULENT TRANSITION

• 来源期刊: 力学学报（英文版）
• 年，卷（期）: 2004,（4）
• 页码范围: 327-339
• 页数: 13页
• 语种: 英文

摘要

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.