Effect of Gas Boundary Layer on the Stability of a Radially Expanding Liquid Sheet

Present work studies the effect of surrounding gas medium on the stability of a radially expanding liquid sheet by taking into account the formation of gas boundary layer whilst neglecting liquid viscosity. The stability of the liquid sheet is analysed using perturbation theory. Small perturbations are applied to a Blasius-type base state system resulting in a linear model. Sinuous modes are significantly more unstable than the varicose modes therefore, spatial instability in sinuous modes is investigated. The results are compared with those obtained by using Kelvin Helmholtz instability, and give us a better understanding of the stability of a thin liquid sheet.