Dynamics of flow-induced instability in gyrogravitating complex viscoelastic quantum fluids

The flow-induced excitation dynamics of electrostatic dust-streaming instability mode supported in illimitable complex gyrogravitating viscoelastic quantum plasma fluids in a spatially flat-geometry configuration is analyzed in the non-relativistic regime. The constitutive lighter electrons (larger de-Broglie wavelength) are only treated as quantum degenerate particles leaving the rest as classical. The semi-analytic formalism is based on the fabric of generalized quantum hydrodynamic model ameliorated with a dimensionality-dependent gradient correction prefactor in the electronic quantum Bohm potential. The nonlinear logatropic barotropic effects arising from fluid turbulence is included. It assumes that perturbations in the longitudinal direction do not excite any transverse mode counterparts. A standard normal mode analysis yields a linear generalized (quartic) dispersion relation. A numerical illustrative perspective is executed in the extreme hydro-kinetic regimes. Active agencies affecting the fluid stability are identified and discussed. It is seen that the quantum parameter plays a destabilizing role in both the hydro-kinetic regimes. The equilibrium dust drift acts as a stabilizing agent in both the regimes. The quantum correction prefactor introduces stabilizing and destabilizing effects in the hydro-kinetic regimes; respectively. In addition, the Coriolis rotation introduces stabilizing effect in both the regimes. Finally, implications and applications of our results in the context of gyrogravitational compact dwarf stars and their environs in are summarily outlined.