School of Mathematical & Statistical Sciences Faculty Publications
Document Type
Article
Publication Date
2022
Abstract
We consider rotationally driven nonlinear polymeric fiber jet, whose centerline is in an inclined plane, in the presence of gravity force. An empirical viscosity model is used for the polymeric fluid flow to investigate properties of the rotating inclined polymeric fiber jet. The aim of the study is to understand properties of such inclined fiber jet shape, which can be due to orientation change of an orifice in a rotating spinneret that generates such jet. Perturbation, asymptotic, scaling and numerical techniques are used to determine the nonlinear steady solutions for the jet quantities for different values of the parameters due to gravity, rotation, viscosity, surface tension and relaxation time. In contrast to the horizontal jet case, presence of gravity and jet inclination increase values of the jet speed, strain rate, stretching rate and the centerline curvature and decrease the value of the jet radius and more so with increasing the arc length, gravity, rotation rate and the relaxation time. However, a non-inclined jet with no imposed restriction on its shape and in presence of gravity leads to smaller fiber radius and larger speed as compared to the ones for inclined jet case.
Recommended Citation
Riahi, Daniel N., and Saulo Orizaga. "On rotationally driven nonlinear inclined polymeric jet with gravity effect." Mathematics in Engineering 4, no. 2 (2022): 1. https://doi.org/10.3934/mine.2022014
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Publication Title
Mathematics in Engineering
DOI
10.3934/mine.2022014
Comments
© 2022 the author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)