A linear stability analysis was conducted to analyze the impact of nanoparticle addition for an
already unstable miscible boundary layer. The growth rates of the spatial modes of the instability are determined for different profiles or physical properties of nanoparticles. It is found from the analyses that increasing of nanoparticle diffusion coefficient or concentration of nanoparticle has
stabilizing effects on the hydrodynamic stability of boundary layer such that the maximum growth rates and cutoff wavenumbers decrease continuously.