Deformation of a two-dimensional viscoelastic drop at non-zero Reynolds number in time-periodic extensional flows
type: Item
instance of: scholarly article
title: Deformation of a two-dimensional viscoelastic drop at non-zero Reynolds number in time-periodic extensional flows
zbMATH Open document ID: 0994.76011
DOI: 10.1016/S0377-0257(00)00156-7
author: Kausik Sarkar
author: William R. Schowalter
published in: Journal of Non-Newtonian Fluid Mechanics
publication date: 2002-10-07T00:00:00Z
review text: The authors investigate the behavior of a non-Newtonian drop, characterized by an upper-convected Maxwell model, suspended in an incompressible Newtonian fluid. The following three related cases are considered: (a) a potential vortex modelled by an extensional flow near the drop with rotating axes of stretching; (b) a rotating extensional flow in which the frequency of revolution of the flow is varied independently of the shear rate; (c) oscillating extensional flow. The above problems are solved at small Reynolds numbers using an ADI front-tracking/finite difference method. The authors develop an analytical elastic viscous stress splitting and utilize it to treat the non-Newtonian constitutive equation. Finally, the authors investigate the effects of periodicity, Reynolds number and relaxation time on drop dynamics. A number of interesting results have been obtained. For example, the authors show that for the potential vortex the drop reaches a steady state of deformation -- a similar result is also obtained for the rotating extensional flow.
Mathematics Subject Classification ID: 76A10
Mathematics Subject Classification ID: 76M20
zbMATH DE Number: 1556248
zbMATH Keywords: two-dimensional viscoelastic drop
zbMATH Keywords: upper-convected Maxwell model
zbMATH Keywords: incompressible Newtonian fluid
zbMATH Keywords: potential vortex
zbMATH Keywords: extensional flow
zbMATH Keywords: rotating extensional flow
zbMATH Keywords: oscillating extensional flow
zbMATH Keywords: small Reynolds numbers
zbMATH Keywords: ADI front-tracking/finite difference method
zbMATH Keywords: elastic viscous stress splitting
zbMATH Keywords: periodicity
zbMATH Keywords: relaxation time
zbMATH Keywords: drop dynamics
zbMATH Keywords: steady state of deformation
reviewed by: H. Ramkissoon
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1556248