On rotationally driven nonlinear inclined polymeric jet with gravity effect
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-03-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/mine.2022014?viewType=HTML |
| _version_ | 1818918613436858368 |
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| author | Daniel N. Riahi Saulo Orizaga |
| author_facet | Daniel N. Riahi Saulo Orizaga |
| author_sort | Daniel N. Riahi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T00:52:45Z |
| format | Article |
| id | doaj.art-afa0023c18e245d0925221282a97312d |
| institution | Directory Open Access Journal |
| issn | 2640-3501 |
| language | English |
| last_indexed | 2024-12-20T00:52:45Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematics in Engineering |
| spelling | doaj.art-afa0023c18e245d0925221282a97312d2022-12-21T19:59:11ZengAIMS PressMathematics in Engineering2640-35012022-03-014211810.3934/mine.2022014On rotationally driven nonlinear inclined polymeric jet with gravity effectDaniel N. Riahi0Saulo Orizaga11. Mechanical Science and Engineering, UIUC, 1206 W. Green St. MC 244, Urbana, IL 61801, USA2. Department of Mathematics, New Mexico Tech, 801 Leroy Place, Socorro, NM 87801, USAWe 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.https://www.aimspress.com/article/doi/10.3934/mine.2022014?viewType=HTMLjet flowrotating jetgravity forceinclined jetpolymeric fluid |
| spellingShingle | Daniel N. Riahi Saulo Orizaga On rotationally driven nonlinear inclined polymeric jet with gravity effect Mathematics in Engineering jet flow rotating jet gravity force inclined jet polymeric fluid |
| title | On rotationally driven nonlinear inclined polymeric jet with gravity effect |
| title_full | On rotationally driven nonlinear inclined polymeric jet with gravity effect |
| title_fullStr | On rotationally driven nonlinear inclined polymeric jet with gravity effect |
| title_full_unstemmed | On rotationally driven nonlinear inclined polymeric jet with gravity effect |
| title_short | On rotationally driven nonlinear inclined polymeric jet with gravity effect |
| title_sort | on rotationally driven nonlinear inclined polymeric jet with gravity effect |
| topic | jet flow rotating jet gravity force inclined jet polymeric fluid |
| url | https://www.aimspress.com/article/doi/10.3934/mine.2022014?viewType=HTML |
| work_keys_str_mv | AT danielnriahi onrotationallydrivennonlinearinclinedpolymericjetwithgravityeffect AT sauloorizaga onrotationallydrivennonlinearinclinedpolymericjetwithgravityeffect |