ABSTRACT
The current chapter makes an effort to analyse and investigate the Rayleigh–Taylor instability (RTI) of two horizontal nanofluid layers that are overlaid and have different densities when subjected to a magnetic field and surface tension. A minuscule, infinitesimal perturbation is applied to the system after formulating the set of conservation equations. The method of normal modes is used to further analyse these perturbed equations for RTI. It is sorted and further analysed for the stable and unstable modes of RTI in nanofluids using a novel dispersion relation with surface tension, magnetic field and concentration of nanoparticles. Compared to the case where only one parameter functions as a variable, a substantial influence is shown when two or three parameters are changed at once. Numerous graphs and tables have been used to illustrate the impact of these combined variations. When surface tension and magnetic field are taken into account as variable parameters, the volume fraction of nanoparticles appears to play a more significant impact. Surface tension, the volume fraction of nanoparticles and the magnetic field parameter are observed to have stabilising effects when changed individually, but their various combinations have a significant impact on either destabilising or stabilising the configuration as critical growth rate values meet a good increase or decrease.
