The Influence of Boundary Roughness on Rayleigh-Taylor Instability at the Interface of Superposed Couple-Stress Fluids


  • Krishna B Chavaraddi Department of Mathematics, S.S. Government First Grade College and P.G. Studies Center, Nargund-582207, Karnataka, India
  • Priya M Gouder Department of Mathematics, KLEs Dr. M. S. Sheshagiri CET, Udyambag, Belagavi-590008, Karnataka, India
  • Ramesh B Kudenatti Department of Mathematics, Central College Campus, Bangalore University, Bangalore-560001, India


RTI, soot formation, 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.