ملخص
We study the stability of a rigid body in a steady rotational flow of an inviscid incompressible fluid. We consider the two-dimensional problem: a body is an infinite cylinder with arbitrary cross section moving perpendicularly to its axis, a flow is two-dimensional, i.e., it does not depend on the coordinate along the axis of a cylinder; both body and fluid are in a two-dimensional bounded domain with an arbitrary smooth boundary. Arnold's method is exploited to obtain sufficient conditions for linear stability of an equilibrium of a body in a steady rotational flow. We first establish a new energy-type variational principle which is a natural generalization of the well-known Arnold's result (1965a, 1966) to the system "body + fluid." Then, by Arnold's technique, a general sufficient condition for linear stability is obtained.
اللغة الأصلية | English |
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الصفحات (من إلى) | 425-437 |
عدد الصفحات | 13 |
دورية | Theoretical and Computational Fluid Dynamics |
مستوى الصوت | 10 |
رقم الإصدار | 1-4 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - 1998 |
منشور خارجيًا | نعم |
ASJC Scopus subject areas
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- ???subjectarea.asjc.3100.3104???
- ???subjectarea.asjc.2200.2200???
- ???subjectarea.asjc.1500.1507???