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

Krishna B Chavaraddi; Priya M Gouder; Ramesh B Kudenatti

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, boundary roughness, 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.

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Published

2024-03-28

How to Cite

Krishna B Chavaraddi, Priya M Gouder, & Ramesh B Kudenatti. (2024). The Influence of Boundary Roughness on Rayleigh-Taylor Instability at the Interface of Superposed Couple-Stress Fluids. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 75(2), 1–10. Retrieved from https://semarakilmu.com.my/journals/index.php/fluid_mechanics_thermal_sciences/article/view/6754