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

Authors

  • 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

Keywords:

RTI, soot formation, couple-stress fluids, growth rate

Abstract

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.

Published

2021-07-20