Abstract
This paper deals with the prilling process, which is widely used to produce small spherical pellets from molten material. To deliver pellets of a uniform size, it is essential to understand the mechanism of the break-up of liquid jets. In this paper, we propose a model of the viscoelastic liquid jet using the Giesekus constitutive equation and investigate drop formation of a viscoelastic curved liquid jet with a layer of surfactants along its free surface. Furthermore, the governing equations have been reduced to one dimension by using an asymptotic analysis. Then, the steady state solutions for a spiralling viscoelastic liquid jet with surfactants have been found, and therefore the spatial instability analysis has been performed to derive the eigenvalue relation. Moreover, the Lax-Wendroff method has been used to solve the nonlinear evolution equations for determining the break-up lengths and drop formation of viscoelastic Giesekus curved jets with surfactants.