Effect of velocity profile on instability of the viscoelastic liquid sheet

Abstract

A linear analysis method has been used to investigate the instability behavior of the viscoelastic liquid sheets moving in the surrounding ambient gas. The gas boundary layer thickness and the liquid sheet velocity profile were taken into account. The effects of gas and liquid viscosity on the growth rate were revealed. The governing equations were obtained through analysis of the liquid and gas domain and solved using the spectral method. The viscoelastic rheological parameters and some flow parameters have been tested to investigate their influences on the instability of the viscoelastic liquid sheets. The results reveal that the disturbances grow faster for the viscoelastic liquid sheet than Newtonian one with identical viscosity. Moreover, the increases of Weber number, elasticity number, gas Reynolds number, and momentum flux ratio can accelerate the breakup of the viscoelastic liquid sheet. However, the increases of time constant ratio, boundary layer thickness, and liquid Reynolds number have the opposite effects.

Linear stability analysis of an electrified incompressible liquid sheet streaming into a compressible ambient gas

“…Because of its link to atomization, the stability and breakup process of thin liquid sheets has been investigated by many researchers. [1][2][3][4] Squire 4 and Hagerty and Shea, 5 examined the instability of an inviscid liquid sheet in a stationary gaseous medium. In their research, both liquid and gas phases were assumed to be incompressible and inviscid.…”