Kelvin-Helmholtz instability of viscoelastic liquid-viscous gas interface with heat and mass transfer

This paper examines the linear stability of the interface formed by a viscoelastic liquid and a viscous gas. The model obeys the Kelvin-Helmholtz instability. The significant influence of heat and mass transfer at the interface has been included. The analysis was performed for the viscoelastic liquid satisfying Oldroyd-B model using potential flow theory. Through linear stability analysis, a dispersion equation in terms of the growth rate parameter is obtained. The stability criteria are to be analyzed on a theoretical basis and to be illustrated on a graphic basis. The effects of various physical parameters on the stability of the liquid/gas interface are investigated. The final results reveal that on increasing heat transfer, the range of stable wave number decreases while the maximum value of growth rate increases.

Automated summary

This paper examines the linear stability of the interface formed by a viscoelastic liquid and a viscous gas, considering the significant influence of heat and mass transfer at the interface. The effects of various physical parameters on the stability of the liquid/gas interface are investigated through theoretical and graphical analysis in the study.