Role of Viscosity Stratification and Insoluble Surfactant in Instability of Two-Layer Channel Flow

作     者：彭杰 朱克勤 

作者机构：Department of Engineering Mechanics Tsinghua University Beijing 100084 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2010年第27卷第4期

页      面：175-177页

核心收录：

学科分类：081702[工学-化学工艺] 08[工学] 0817[工学-化学工程与技术] 082701[工学-核能科学与工程] 0827[工学-核科学与技术] 

基　　金：Supported by the Natural Science Foundation of China under Grant Nos 10772097 and 10972115 

主　　题：Fluid dynamics Mathematical physics 

摘      要：We study, for the case of the two layer plane Poiseuille flow, the effect of viscosity stratification and interracial surfactant on the flow instability. Considering a normal mode of the streamwise wave number α, both the linear and energy analyses are presented. The expressions of perturbation energy supplied at the interface are derived. The result demonstrates that the jumps of horizontal velocity and tangential stress of the perturbed flow across the interface could be induced by the presence of viscosity stratification and surfactant. This is expected to be responsible for the Yih and Marangoni instability.