Linear Instability of Inviscid Jets with Thermo-Capillarity

This study deals with the investigation of the temporal and spatial instability of inviscid jets with the effects of the thermal energy. The variation of surface tension causes Marangoni flow that affects drop formation and break-up of liquid jets. The governing equations are reduced into one-dimensional model using an asymptotic analysis. The dispersion relation for thermo-capillary inviscid liquid jets is derived to examine the behavior of the dimensionless parameter of the linear instability. Moreover, the growth rate and the maximum wavenumber are displayed along the jet