论文标题
温度调制倾斜层对流的纵向和横向模式
Longitudinal and transverse modes of temperature modulated inclined layer convection
论文作者
论文摘要
数值研究了两个平行平面之间的不可压缩，粘性和Boussinesq流体层的参数不稳定性。假定该层与水平倾斜。边界层的平面受到时间周期性加热。高于阈值，整个层的温度梯度会导致最初静止状态或平行流的不稳定性，具体取决于倾斜角。基础系统的浮标分析表明，在调制下，不稳定性作为对流滚动模式执行谐波或谐波振荡，具体取决于调制，倾斜角度和流体的prandtl数量。在调制下，发现Codimension-2点的倾斜角度值是振幅和调制频率的非构函数。此外，流体层中作为纵向模式的不稳定性响应始终是谐波的，而作为横向模式的不稳定性响应是谐波或次谐波，或根据调制而进行的。温度调制可很好地控制倾斜层对流中的时间周期性热量和传质。
A parametric instability of an incompressible, viscous, and Boussinesq fluid layer bounded between two parallel planes is investigated numerically. The layer is assumed to be inclined at an angle with horizontal. The planes bounding the layer are subjected to a time-periodic heating. Above a threshold value, the temperature gradient across the layer leads to an instability of an initially quiescent state or a parallel flow, depending upon the angle of inclination. The Floquet analysis of the underlying system reveals that under modulation, the instability sets in as a convective roll pattern executing harmonic or subharmonic oscillations, depending upon the modulation, the angle of inclination, and Prandtl number of the fluid. Under modulation, the value of the angle of inclination for the codimension-2 point is found to be a nonconstant function of the amplitude and the frequency of modulation. Further, the instability response in the fluid layer as a longitudinal mode is always harmonic whereas the instability response as a transverse mode is harmonic, or subharmonic, or bicritical depending upon the modulation. The temperature modulation offers a good control of time-periodic heat and mass transfer in the inclined layer convection.
