The Influence of Boundary Roughness on Rayleigh-Taylor Instability at the Interface of Superposed Couple-Stress Fluids
Keywords:RTI, boundary roughness, couple-stress fluids, growth rate
The influence of boundary roughness on suppressing of Rayleigh-Taylor instability (RTI) at the interface between two superposed couples-stress fluids is investigated in the present paper. This is a theoretical study is based on fully developed approximations for deriving the growth rate of RTI at the interface between two fluids. Thus, it is found that the couple-stress parameter and boundary roughness have stabilization effect, whereas the buoyancy force (surface tension) has destabilize the system. Hence the study favors to control the growth rate of RTI.