THE BEHAVIOUR OF THE FLOW INVARIANTS OF LOCAL UNSTEADY HOMOGENEOUS SHEAR FLOW

作     者：Allen T.Chwang 

作者机构：Department of Mechanical EngineeringUniversity of Hong KongHong Kong 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：1994年第6卷第3期

页      面：25-33页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0801[工学-力学（可授工学、理学学位）] 

主　　题：vorticity invariant blow up. 

摘      要：In this paper the vorticity equation and the rate- of- swain tensor equation of unsteady homogeneous shear flow of an incompressible fluid are investigated and five scalar invariants, such as enstrophy, etc. , equations are obtained. Then according to these scalar invariants equations and a pressure distribution assumption, the stability of the solution and its special behaviours are discussed. It is found out that under certain conditions the enstrophy and the second invariant of the rate-of-strain tensor will approach to infinity periodically. It is so-called blow up phenomenon and has the close relation with the burst phenomenon.