Deformation of a two-dimensional viscous drop in time-periodic extensional flows: analytical treatment

DOI10.1017/S0022112001004013zbMath1003.76022MaRDI QIDQ2731220

Kausik Sarkar, William R. Schowalter

Publication date: 14 January 2003

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

frequency domainanalytical solutioninterfacial tensiondrop deformationsmall Reynolds numbersunsteady Stokes equationscontinuous phase flowfirst-order perturbation methodmoving drop interfacesuspended droptime-periodic potential flowtwo-dimensional viscous drop

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Stokes and related (Oseen, etc.) flows (76D07) Capillarity (surface tension) for incompressible viscous fluids (76D45) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (6)

Effects of viscosity ratio on deformation of a viscoelastic drop in a Newtonian matrix under steady shear ⋮ Effects of viscoelasticity on the retraction of a sheared drop ⋮ Mechanical load on a particle aggregate in mono-axial elongational flow. ⋮ Steady axial electric field may lead to controllable cross-stream migration of droplets in confined oscillatory microflows ⋮ Drop dynamics in an oscillating extensional flow at finite Reynolds numbers ⋮ Deformation and breakup of a viscoelastic drop in a Newtonian matrix under steady shear

This page was built for publication: Deformation of a two-dimensional viscous drop in time-periodic extensional flows: analytical treatment