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力学学报 2005
Nonlinear characteristics of hydrodynamic instability in a precessing cylinder
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Abstract:
Based on governing equations of liquid deviated flow in a precessing liquid-filled cylinder,thebifurcation equation in functional space is derived by the linear solutions of liquid inertial wave and axialsecondary flow and linear stability analysis of steady secondary flow.Then,the Navier-Stokes equations ofliquid flow under non-inertial coordinates are directly solved by numerical methods.When inertial wave breaksdown,numerical solutions can also be obtained to reproduce three types resonant breakdown phenomena atprimary mode observed in experiments.The nonlinear time series of average pressure by numerical solutionsof inertial wave's breakdown are analyzed.Some nonlinear characteristics of hydrodynamic instability can bederived by foregoing analysis.
