Pino D, Mercader I, Net M
Departament de Fisica Aplicada, Modul B4, Campus Nord, Universitat Politecnica de Catalunya, 08034 Barcelona, Spain.
Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 2000 Feb;61(2):1507-17. doi: 10.1103/physreve.61.1507.
The nature of the primary instabilities that arise in a fluid contained in a fast rotating cylindrical annulus with slightly inclined plane top and bottom boundaries, radial gravity, and internal heating is numerically analyzed. It is shown that for moderate and high Prandtl numbers, the onset of convection is described by a competition of azimuthal thermal modes with different radial structure, which dominate in different regions of the parameter space. By the combined effect of the inclined ends and rotation, there are modes that are attached to the heated wall and slanted to the prograde direction of rotation, and others which are straight and fill the convective layer. Nevertheless, for very small Prandtl numbers the velocity field of the dominant modes corresponds essentially to the inertial solution of the Poincare equation, and the temperature perturbation is forced by this velocity field. In addition, a detailed exploration of the critical Rayleigh numbers and precession frequencies of the convective modes versus the radius ratio and the Coriolis parameter, for different Prandtl numbers, is presented.
对包含在快速旋转的圆柱环形容器中的流体所产生的主要不稳定性的性质进行了数值分析，该容器具有略微倾斜的平面顶部和底部边界、径向重力以及内部加热。结果表明，对于中等和高普朗特数，对流的起始由具有不同径向结构的方位热模式的竞争来描述，这些模式在参数空间的不同区域占主导地位。通过倾斜端部和旋转的综合作用，存在附着在加热壁上并向旋转的前进方向倾斜的模式，以及其他是直线型并充满对流层的模式。然而，对于非常小的普朗特数，主导模式的速度场基本上对应于庞加莱方程的惯性解，并且温度扰动由该速度场驱动。此外，还给出了针对不同普朗特数，对流模式的临界瑞利数和进动频率相对于半径比和科里奥利参数的详细探究。
