The investigation of the Newtonian collisional viscous shear dusty plasma system in the hydrodynamic regime: Using fluid model

The fluid description is employed to investigate the instability of Newtonian viscous shear dusty plasma system in hydrodynamic regime, taking into account both viscosity and collision effects. Describing the equilibrium configuration in the presence of the binary collision terms between dust grains and neutral particles and using the local approximation method, the dispersion relation is obtained by applying the generalized hydrodynamic equation to find the spatial dependence of the initial velocity in equilibrium state. Analyzing the obtained dispersion relation shows that the main factor of free energy source to arise the instability of the system is due to the viscous force. While the collision effect plays a stabilizing role for the system by reducing the growth rate of the instability of the Newtonian strongly coupled dusty plasma system in the hydrodynamic regime.