Time-dependent critical layers in shear flows on the beta-plane
摘要：
The problem of a finite-amplitude free disturbance of an inviscid shear flow on the beta-plane is studied. Perturbation theory and matched asymptotics are used to derive an evolution equation for the amplitude of a singular neutral mode of the Kuo equation. The effects of time-dependence, nonlinearity and viscosity are included in the analysis of the critical-layer flow. Nonlinear effects inside the critical layer rather than outside the critical layer determine the evolution of the disturbance. The nonlinear term in the evolution equation is some type of convolution integral rather than a simple polynomial. This makes the evolution equation significantly different from those commonly encountered in fluid wave and stability problems.
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关键词：
Theoretical or Mathematical/ shear flow viscosity/ time dependent effects perturbation theory nonlinear effects viscosity effects shear flows beta-plane matched asymptotics Kuo equation critical-layer flow evolution equation/ A4790 Other topics in fluid dynamics
DOI：
10.1017/S0022112084001178
被引量：
年份：
1984
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