Banerjee D, Janaki M S, Chakrabarti N
Saha Institute of Nuclear Physics, 1/AF Bidhannagar Calcutta 700 064, India.
Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 2):066408. doi: 10.1103/PhysRevE.85.066408. Epub 2012 Jun 26.
Linear stability analysis of strongly coupled incompressible dusty plasma in presence of shear flow has been carried out using the generalized hydrodynamical (GH) model. With the proper Galilean invariant GH model, a nonlocal eigenvalue analysis has been done using different velocity profiles. It is shown that the effect of elasticity enhances the growth rate of shear flow driven Kelvin- Helmholtz (KH) instability. The interplay between viscosity and elasticity not only enhances the growth rate but the spatial domain of the instability is also widened. The growth rate in various parameter space and the corresponding eigenfunctions are presented.
利用广义流体动力学（GH）模型，对存在剪切流的强耦合不可压缩尘埃等离子体进行了线性稳定性分析。借助适当的伽利略不变GH模型，使用不同的速度剖面进行了非局部特征值分析。结果表明，弹性效应提高了剪切流驱动的开尔文-亥姆霍兹（KH）不稳定性的增长率。粘性和弹性之间的相互作用不仅提高了增长率，而且不稳定性的空间域也变宽了。给出了各种参数空间中的增长率和相应的本征函数。
