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首页> 外文期刊>Journal of Heat Transfer >Effect of Horizontal Alternating Current Electric Field on the Stability of Natural Convection in a Dielectric Fluid Saturated Vertical Porous Layer
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Effect of Horizontal Alternating Current Electric Field on the Stability of Natural Convection in a Dielectric Fluid Saturated Vertical Porous Layer

机译：水平交流电场对介电流体饱和垂直多孔层中自然对流稳定性的影响

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摘要

The stability of natural convection in a dielectric fluid-saturated vertical porous layer in the presence of a uniform horizontal AC electric field is investigated. The flow in the porous medium is governed by Brinkman-Wooding-extended-Darcy equation with fluid viscosity different from effective viscosity. The resulting generalized eigenvalue problem is solved numerically using the Chebyshev collocation method. The critical Grashof number G_c, the critical wave number a_c, and the critical wave speed c_c are computed for a wide range of Prandtl number Pr, Darcy number Da, the ratio of effective viscosity to the fluid viscosity A, and AC electric Rayleigh number R_ea. Interestingly, the value of Prandtl number at which the transition from stationary to traveling-wave mode takes place is found to be independent of R_ea. The interconnectedness of the Darcy number and the Prandtl number on the nature of modes of instability is clearly delineated and found that increasing in Da and R_eu is to destabilize the system. The ratio of viscosities A shows stabilizing effect on the system at the stationary mode, but to the contrary, it exhibits a dual behavior once the instability is via traveling-wave mode. Besides, the value of Pr at which transition occurs from stationary to traveling-wave mode instability increases with decreasing A. The behavior of secondary flows is discussed in detail for values of physical parameters at which transition from stationary to traveling-wave mode takes place.
机译：研究了在均匀的水平交流电场存在下，介电液饱和的垂直多孔层中自然对流的稳定性。多孔介质中的流动由Brinkman-Wooding-extended-Darcy方程控制，流体粘度不同于有效粘度。由此产生的广义特征值问题使用Chebyshev配置方法进行数值求解。在广泛的普朗特数Pr，达西数Da，有效粘度与流体粘度A之比以及交流电瑞利数R_ea的范围内计算出临界Grashof数G_c，临界波数a_c和临界波速度c_c 。有趣的是，发现发生从静止波模式向行波模式转变的普朗特数的值与R_ea无关。显然描述了达西数和普朗特数在不稳定性模式性质上的相互联系，并发现增加Da和R_eu会使系统不稳定。粘度比A在固定模式下显示出对系统的稳定作用，但相反，一旦不稳定性通过行波模式显示出双重特性。此外，随着从A的减小，发生从稳态到行波模式不稳定性转变的Pr值随A的增加而增加。对于从稳态到行波模式转变的物理参数的值，将详细讨论二次流的行为。

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