Effect of a spectrum of relaxation times on the capillary thinning of a filament of elastic liquid |
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| Institution: | 1. Laboratory of Applied Continuum Mechanics, Institute for Problems in Mechanics RAS, pr Vernadskogo 101, 117526 Moscow, Russia;2. Department of Applied Mathematics and Theoretical Physics, Cambridge University, Cambridge CB3 9EW, UK;1. Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;2. Singapore-MIT Alliance for Research and Technology, Singapore 138602, Singapore;3. Department of Materials Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;4. Materials Research Laboratory, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;5. Department of Chemistry, University of Illinois at Urbana-Champaign, Urbana, IL 61801, USA;6. Surface and Corrosion Science, School of Engineering Sciences in Chemistry, Biotechnology and Health, KTH Royal Institute of Technology, 100 44 Stockholm, Sweden;7. Department of Materials, ETH Zürich, Zürich 8093, Switzerland |
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| Abstract: | The capillary thinning of a filament of viscoelastic liquid, which is the basis of a microrheometer, is analyzed in terms of a multi-mode FENE fluid. After a short time of viscous adjustment, the stress becomes dominated by the elastic contribution and the strain-rate takes on a value equal to two-thirds the rate at which the stress would relax at fixed strain. This strain-rate decreases as the dominant mode changes. At late times, modes reach their finite extension limit. The fluid then behaves like a suspension of rigid rods with a large extensional viscosity, and the liquid filament breaks. Predictions are compared with the experiments of Liang and Mackley (1994). |
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