Flows in processing sphere
Our recent experimental and numerical study on the flows in a precessing sphere is presented. The spin angular velocity Ωs, and precession angular velocity Ωp are constants in magnitude and perpendicular to each other. The flow exhibits a variety of states depending on the Reynolds number Re=a2Ωs/v. and the Poincare number Γ=Ωp/Ωs. The state diagram, classifying the steady, periodic, aperiodic states, is constructed experimentally using the two-time correlation function of velocity. The stability of steady flows is examined by the direct numerical simulation of the Navier-Stokes equation to obtain the critical curve on which the minimum Reynolds number is about 1,270 at Γ= 0.14. The flow structure is investigated in detail numerically. It is found that the sphere is filled with an infinitely many streamline tori in some steady cases.
Shigeo Kida
Department of Mechanical Engineering and Science, Kyoto University, Japan, 606-8501
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
51-54
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）