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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Study of the effect of viscosity and homogeneous horizontal magnetic field on Rayleigh-Taylor instability
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Study of the effect of viscosity and homogeneous horizontal magnetic field on Rayleigh-Taylor instability

机译：黏性和水平磁场对瑞利-泰勒不稳定性影响的研究

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摘要

Rayleigh-Taylor instability of a heavy fluid supported by a lighter one, in the presence of a homogeneous horizontal magnetic field pervading both the fluids is investigated. These fluids are considered to be incompressible, viscous, and infinitely conducting. In the lower region, z < 0, the density is constant as well as in the upper region, z > 0. The dispersion relation that defines the growth rate sigma, is derived as a function of the physical parameters of the system under the condition k(y)/k(x) = pi and numerically analyzed. It is shown that the horizontal magnetic field helps to stabilize the instability. The growth rate depends on the relation between wave number components, where the instability increases with increasing pi and thereby the role of horizontal magnetic field gradually declines. [References: 20]
机译：研究了由较轻的流体支撑的重流体的瑞利-泰勒不稳定性，该流体在弥散于两种流体的均匀水平磁场的存在下。这些流体被认为是不可压缩的，粘性的并且是无限传导的。在下部区域z <0，密度恒定，而在上部区域z>0。定义增长率sigma的色散关系是根据条件下系统的物理参数得出的k（y）/ k（x）= pi并进行数值分析。结果表明，水平磁场有助于稳定不稳定性。增长率取决于波数分量之间的关系，其中不稳定性随pi的增加而增加，从而水平磁场的作用逐渐降低。 [参考：20]

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