Polarization and coriolis forces impact on the Kelvin- Helmholtz instability of viscous dusty plasma

The Kelvin-Helmholtz instability in a dusty plasma with sheared velocity variations is analyzed, considering the effects of viscosity, rotation, and polarization parameters in dust. A theoretical framework is proposed to describe the behavior of three distinct fluid components: electron and ion fluids governed by the Boltzmann equation, as well as magnetized dust fluids influenced by nearby particles' polarization force. The dispersion relation for the KH instability is derived using normal mode analysis on linearized perturbed equation. It is found that rotation, viscosity, and polarization force based on the dusty acoustic mode optimize the basic dispersion relation of Kelvin-Helmholtz instability accurately. The critical shear is important for exciting the Kelvin-Helmholtz instability and is influenced by factors such as rotation, polarization, and dusty cyclotron frequency. The growth rate of the Kelvin-Helmholtz instability appears to be suppressed due to the presence of rotation, viscosity, and polarization force.