Stability of a rotating liquid heated from below with respect to periodic perturbations

摘要: Abstract The coupling of a system ordinary equations for convection [1] leads to the conclusion that perturbation occurring due heating liquid from below always varies monotonically with time [2]. Presence magnetic field (in conducting liquid) or rotation render motion uncoupled and therefore stability an initially balanced nature perturbations causing its collapse should be investigated separately. Chandrasekhar has considered effect [3] [4,5] on in horizontal plane layer. consideration layer infinite length which ordinarily admits analysis phenomenon “pure form” this particular case would only obscure physical problem. In finite strip, however, (all dimensions are same order) these basically new effects occasioned by rotation, discernible distinct fashion. Below, using simple example, one considers heated occupies closed space whose linear order all directions. As will shown Section 6, is equivalent regard aspects concerning stability.