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arXiv 2208.01397physics.flu-dyncs.NAmath.NAphysics.comp-phphysics.geo-ph
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温度调制倾斜层对流的纵向模式与横向模式

Longitudinal and transverse modes of temperature modulated inclined layer convection

Jitender Singh

AI总结:

该研究通过数值模拟与Floquet分析,探究了温度调制下倾斜流体层对流的参数不稳定性,明确了纵向、横向模式的振荡特性及余维2点倾斜角的变化规律,为倾斜层对流的热质传递调控提供了依据。

摘要:

本文通过数值方法研究了被限制在两个平行平面之间的不可压缩黏性Boussinesq流体层的参数不稳定性。假设该流体层相对于水平面呈一定角度倾斜,且限制流体层的两个平面受到时间周期性加热作用。当跨层温度梯度超过阈值时,根据倾斜角的不同,初始静止状态或平行流动会出现不稳定性。对底层系统的Floquet分析表明,在调制作用下,不稳定性会以对流卷图案的形式出现,其振荡为谐波或次谐波形式,具体取决于调制参数、倾斜角以及流体的Prandtl数。研究发现,调制作用下余维2点对应的倾斜角值是调制振幅与调制频率的非常数函数。此外,流体层中纵向模式的不稳定性响应始终为谐波形式,而横向模式的不稳定性响应则可为谐波、次谐波或双临界形式,具体取决于调制情况。温度调制为倾斜层对流中的时间周期性热量与质量传递提供了良好的控制手段。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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