ABSTRACT
This manuscript presents a comprehensive investigation of the Rayleigh-Taylor (RT) instability occurring at the edge of a planar configuration, where a viscous fluid and a nanofluid are involved. The setup consists of a lower region containing the viscous fluid and an upper region containing the nanofluid. The growth rate of perturbations is found to follow a quadratic pattern in the dispersion relationship. Notably, the interfacial stability is positively affected by increasing the viscosity of the viscous fluid but is adversely affected by the density of the nanofluid. Intriguingly, the presence of nanoparticles within the nanofluid contributes to enhancing the overall stability of the system. The nanofluid’s viscosity facilitates the growth of perturbations, while the density of the viscous fluid counteracts destabilization, playing a stabilizing role. Additionally, the stabilization is further influenced by the shape parameter of the nanofluid. These findings shed light on the complex dynamics governing the RT instability in the perspective of viscous and nanofluid interfaces, thus providing valuable insights for various applications and fields.
