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Lateral migration of viscoelastic droplets in a viscoelastic confined flow: role of discrete phase viscoelasticity

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Abstract

The cross-stream motion of viscoelastic droplets in viscoelastic fluids has received little attention since the classical study of migration of drops in a second order fluid. In this work, going beyond the existing classical theory, we experimentally elucidate the effect of drop-to-medium viscosity ratio k and elasticity ratio ξ on wall and center migration of viscoelastic droplets in a Poiseuille flow of a viscoelastic medium (PVP) at low Reynolds numbers (Re ≪ 1). We observed a contrasting migration behavior of Newtonian and viscoelastic droplets having the same viscosity ratios and propose the presence of a lift force FVD due to the viscoelasticity of the droplet phase. We use analytical scaling and empirical modelling to show that the force FVD scales with a prefactor that depends upon the Weissenberg number WiD and drop-to-medium viscosity ratio k and elasticity ratio ξ. Further, we utilize the proposed force for sorting of viscoelastic and Newtonian droplets.

Graphical abstract: Lateral migration of viscoelastic droplets in a viscoelastic confined flow: role of discrete phase viscoelasticity

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Publication details

The article was received on 19 Jul 2019, accepted on 05 Oct 2019 and first published on 07 Oct 2019


Article type: Paper
DOI: 10.1039/C9SM01469A
Soft Matter, 2019, Advance Article

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    Lateral migration of viscoelastic droplets in a viscoelastic confined flow: role of discrete phase viscoelasticity

    S. Hazra, S. K. Mitra and A. K. Sen, Soft Matter, 2019, Advance Article , DOI: 10.1039/C9SM01469A

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