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.
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