流动稳定性问题的一种新渐近方法

A New Asymptotic Method in the Problem of Hydrodynamic Stability

以平面Ｐｏｉｓｅｕｉｌｌｅ流为例，将一种就非线性振动系统提出的，能有效地克服κ—σ法局限性的新的渐近方法，推广应用于流动稳定性问题。所得结果与应用κ—σ法得到的结果在低阶近似的情形下作了比较。

In this paper,the problem of hydrodynamic stability is studed.Taking plan-poiseuille-flow,as an example,a new asymplotic method proposed for overcomieng thelimitation of κ-σ method in nonlinear oscillation theory,is extended and is applied to theproblem of hydrodynamic stability. By a comparison with those of using κ-σmethod,itwas shown that this new asymplotic method in the study of hydrodynamic stability issuccessful.