Magneto-Rayleigh-Taylor instability in solid media
Magneto-Rayleigh-Taylor instability in solid media
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DOI：
10.1063/1.4890569
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发表时间：
2014-07
影响因子：
2.2
通讯作者：
Y. B. Sun;A. R. Piriz
中科院分区：
文献类型：
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作者：
Y. B. Sun;A. R. Piriz
通过考虑平行于界面的均匀磁性B→，对牛顿流体和弹塑性固体界面处的磁-瑞利-泰勒不稳定性进行了线性分析，该磁B→扩散到流体中，但没有扩散到固体中。结果表明，磁场使黏性流体具有弹性特性，在任意初始扰动幅值下稳定所有小于λ0∝B2的扰动波长，从而增强了稳定区。如果初始扰动波长小于由屈服强度和固体剪切模量决定的阈值，则较长的波长由固体的力学性能稳定。超过这个阈值后，振幅开始增长，但增长速度受固体强度特性的影响而减小。然而，这些性质不影响渐近增长率，渐近增长率仅由磁场和流体粘度决定。所描述的实际情况是…
A linear analysis of the magneto-Rayleigh-Taylor instability at the interface between a Newtonian fluid and an elastic-plastic solid is performed by considering a uniform magnetic B→, parallel to the interface, which has diffused into the fluid but not into the solid. It is found that the magnetic field attributes elastic properties to the viscous fluid which enhance the stability region by stabilizing all the perturbation wavelengths shorter than λ0∝B2 for any initial perturbation amplitude. Longer wavelengths are stabilized by the mechanical properties of the solid provided that the initial perturbation wavelength is smaller than a threshold value determined by the yield strength and the shear modulus of the solid. Beyond this threshold, the amplitude grows initially with a growth rate reduced by the solid strength properties. However, such properties do not affect the asymptotic growth rate which is only determined by the magnetic field and the fluid viscosity. The described physical situation intends ...