Dispersion relation for Eq. (12) with finite parameter while other parameters are for subplot (a) and (b) and for subplot (c) and (d). is taken to be zero. For all subplots, is 0, 0.4, and 0.8 represented by circle, star, and square, respectively.
The scaled growth rate vs . The smooth line (black) represents the scaled growth rate of incompressible dust fluid and rest all are compressible cases with Mach No. 0.707 with circles (red) for weakly coupled dust fluid while square (magenta) and stars (blue) represents case of and , respectively, for strongly coupled dust fluid. The value of iskept fix at 20 for these strong coupling cases. The other parameters are and (shear width as defined in Eq. (15) ).
The scaled growth rate vs for fixed value of and various values of (diamond), (square), (star), (dot), and (× mark). The red circles show the case of weakly coupled dust fluid. The other common parameters are , and mach No. 0.707.
The Perturbed kinetic energy (log scale) Vs. time for the strong coupling dust fluid. and has been chosen for this case. Other parameters in simulation are same as Fig. 2 .
Nonlinear evolution of vorticity contours at different times for parameter values and mach No. 0.707 for this case. Other simulation parameters are and . Quasineutrality has been taken under consideration.
Nonlinear evolution of divergence of velocity field contours at different times for parameter values and mach No. 0.707 for this case. Other parameters in simulation are and . Quasineutrality has been taken under consideration.
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