Effect of quasiperiodic gravitational modulation on the stability of a heated fluid layer.
作者： Taoufik Boulal , Saïd Aniss , Mohamed Belhaq , Richard Rand
DOI: 10.1103/PHYSREVE.76.056320
关键词: Mechanics 、 Classical mechanics 、 Physics 、 Projection (linear algebra) 、 Prandtl number 、 Mathieu function 、 Newtonian fluid 、 Convection 、 Galerkin method 、 Natural convection 、 Quasiperiodic function
摘要: Thermal instability in a horizontal Newtonian liquid layer with rigid boundaries is investigated the presence of vertical quasiperiodic forcing having two incommensurate frequencies 1 and 2. By means Galerkin projection truncated to first order, governing linear system corresponding onset convection reduced damped Mathieu equation. The threshold solutions determined cases heating from below above. We show that modulation has stabilizing or destabilizing effect depending on ratio =2 /1. Prandtl number zone also examined for different frequency ratios.
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