On viscoelastic fiber jet formation by forcespinning at high rotation rate
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Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL, USA
School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, Brownsville, Texas, USA
Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, New Mexico, USA
Submission date: 2022-10-19
Final revision date: 2023-01-28
Acceptance date: 2023-01-31
Online publication date: 2023-03-25
Publication date: 2023-04-28
Corresponding author
Saulo Orizaga   

Mathematics, New Mexico Institute of Mining and Technology, 801 Leroy Place, 87801, Socorro, United States
Journal of Theoretical and Applied Mechanics 2023;61(2):275-287
We consider a nonlinear three-dimensional viscoelastic fiber jet that is generated during a forcespinning process. We provide a particular case for such a rotating jet at a high rotation rate. We use a viscoelastic constitutive model for the jet equations and then applying a new slender body approach, we continue with proper scaling and perturbation technique to develop a new model for such a jet system. We find that the profiles for jet quantities versus arc length are notably different from all those in related studies reported before for either high or low rotation rates. In particular, jet radius first rapidly decreases as the arc length decreases and then reaches its macro- or nano-scale size not far away from its exit section. The present model can predict a nano-fiber jet that is entirely based on proper scaling, perturbation technique and full fluid mechanics laws and equations.
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