OICC Press Journal of Theoretical and Applied Physics 2251-7235 18 3 2024 05 25 Kelvin-Helmholtz instability in rotating dusty plasmas with sheared magnetic field and polarization force 10.57647/j.jtap.2024.1803.43 EN Harendra Singhal Department of Mathematics, N.I.E.T., Greater Noida 201306, Uttar Pradesh, India 0009-0007-7661-3603 Nagendra Kumar Department of Mathematics, M.M.H., College, Ghaziabad 201009, Uttar Pradesh, India Meenakshi Yadav Department of Applied Mathematics, G.B.U., Greater Noida 201306, Uttar Pradesh, India Journal Article 2024 05 25 The impact of rotation and dust polarization force on Kelvin-Helmholtz instability (KHI) in a magnetized, velocity-sheared dusty plasma is explored in this study. The investigation involves deriving the general dispersion relation from the linearized perturbation equations. The dispersion relation is solved numerically to analyze how dust polarization force and rotation influence the critical shear and growth rate of the unstable mode emerging in dusty plasma. The findings reveal that an escalation in both dust polarization force and rotation results in an augmented critical shear required to excite the Kelvin-Helmholtz instability. Both dust polarization force and rotation are identified as having a suppressing effect on the growth rate of the K-H instability. These outcomes bear significance in the examination of the stability of planetary and stellar atmospheres, Saturn's E-ring, and laboratory dusty plasmas.