Three important theorems for flow stability

摘要：

A criterion of ow instability and turbulent transition in curved shear ows is obtained via the analysis of energy equilibrium of uid particles. Then, three important theorems for uid stability are deduced: (1) Potential ow (inviscid and irrotational) is stable. (2) Inviscid rotational (inviscid and nonzero vorticity) ow is unstable. (3) Velocity profile with an in ectional point is unstable when there is no work input or output to the system, for both inviscid and viscous ows. These theorems have significant implications for vortex breakdown and ow transition.

关键词： theorem flow instability turbulent transition shear flows energy gradient energy loss

作者: H.S.Dou

作者单位: Temasek Laboratories, National University of Singapore, Singapore 117508

会议类型: 国际会议

会议名称: The Fifth International Conference on Fluid Mechanics(第五届国际流体力学会议)

会议地点: 上海

会议语种:英文

在线出版日期: 2007-08-15（万方平台首次上网日期，不代表论文的发表时间）