Nonlinear analysis of the surface tension driven breakup of viscoelastic filaments |
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| Affiliation: | 1. The Department of Orthopedics, The Second Affiliated Hospital of Soochow University, Suzhou 215000, China;2. Jiangsu Key Laboratory of Translational Research and Therapy for Neuro-Psycho-Diseases and Institute of Neuroscience, Soochow University, Suzhou, Jiangsu 215021, China;3. The Center of Diagnosis and Treatment for Children’s Bone Diseases, The Children’s Hospital Affiliated to Soochow University, Suzhou, Jiangsu 215000, China;1. Universiteit Antwerpen, Belgium;2. Chiba University, Japan;1. Department of Applied Physics, Tunghai University, Taichung 407, Taiwan;2. iSentek Ltd., Advanced Sensor Laboratory, Taipei 221, Taiwan;3. Institute of Mechatronic Engineering, National Taipei University of Technology, Taipei 106, Taiwan;4. Department of Physics, National Chung Cheng University, Chia-Yi 621, Taiwan |
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| Abstract: | The surface tension driven breakup of viscoelastic filaments into droplets is qualitatively different from that of Newtonian liquid filaments. Disturbances on filaments of dilute polymer solutions often grow to a configuration consisting of nascent droplets connected by a thin ligament; the breakup time for this configuration is much longer than that predicted by extensions of Rayleigh's linear stability theory. We present here a nonlinear analysis of surface tension driven breakup of viscoelastic filaments using two complementary approaches that given equivalent results: a transient finite element solution and a one-dimensional thin filament approximation. We show that significant nonlinear effects lead to the experimentally-observed nascent droplet-ligament configuration, and we predict the entire evolution of the filament profile. Agreement with available experimental data for profile evolution and breakup of jets of Newtonian fluids and dilute polymer solutions is excellent. |
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