Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot
Based on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dash...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2017-10-01
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| Series: | Advances in Mechanical Engineering |
| Online Access: | https://doi.org/10.1177/1687814017699765 |
| _version_ | 1818409112687345664 |
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| author | Xianglong Su Wen Chen Wenxiang Xu |
| author_facet | Xianglong Su Wen Chen Wenxiang Xu |
| author_sort | Xianglong Su |
| collection | DOAJ |
| description | Based on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dashpot models, including the Newton dashpot and the Abel dashpot. The results show that as the derivative order is between 0 and 1, the viscoelastic behavior of the fractal dashpot is similar to that of the Abel dashpot. However, the fractal dashpot has a high computational efficiency compared with the Abel dashpot. On the other hand, the fractal dashpot can be reduced to the Newton dashpot when the derivative order equals to 1. As an extension of fractal dashpot, a fractal Bingham model is also introduced in this study. The accuracy of proposed fractal models is verified by the relevant rheological experimental data. Moreover, the obtained parameters can not only provide quantitative insights into both the viscoelasticity and the relative strength of rheopexy and thixotropy, but also quantitatively distinguish shear thinning and thickening phenomena. |
| first_indexed | 2024-12-14T09:54:27Z |
| format | Article |
| id | doaj.art-70112485bce64f1993b84bb06f67e97c |
| institution | Directory Open Access Journal |
| issn | 1687-8140 |
| language | English |
| last_indexed | 2024-12-14T09:54:27Z |
| publishDate | 2017-10-01 |
| publisher | SAGE Publishing |
| record_format | Article |
| series | Advances in Mechanical Engineering |
| spelling | doaj.art-70112485bce64f1993b84bb06f67e97c2022-12-21T23:07:26ZengSAGE PublishingAdvances in Mechanical Engineering1687-81402017-10-01910.1177/1687814017699765Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpotXianglong SuWen ChenWenxiang XuBased on the fractal derivative, a robust viscoelastic element—fractal dashpot—is proposed to characterize the rheological behaviors of non-Newtonian fluid. The mechanical responses of the fractal dashpot are investigated with different strains and stresses, which are compared with the existing dashpot models, including the Newton dashpot and the Abel dashpot. The results show that as the derivative order is between 0 and 1, the viscoelastic behavior of the fractal dashpot is similar to that of the Abel dashpot. However, the fractal dashpot has a high computational efficiency compared with the Abel dashpot. On the other hand, the fractal dashpot can be reduced to the Newton dashpot when the derivative order equals to 1. As an extension of fractal dashpot, a fractal Bingham model is also introduced in this study. The accuracy of proposed fractal models is verified by the relevant rheological experimental data. Moreover, the obtained parameters can not only provide quantitative insights into both the viscoelasticity and the relative strength of rheopexy and thixotropy, but also quantitatively distinguish shear thinning and thickening phenomena.https://doi.org/10.1177/1687814017699765 |
| spellingShingle | Xianglong Su Wen Chen Wenxiang Xu Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot Advances in Mechanical Engineering |
| title | Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot |
| title_full | Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot |
| title_fullStr | Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot |
| title_full_unstemmed | Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot |
| title_short | Characterizing the rheological behaviors of non-Newtonian fluid via a viscoelastic component: Fractal dashpot |
| title_sort | characterizing the rheological behaviors of non newtonian fluid via a viscoelastic component fractal dashpot |
| url | https://doi.org/10.1177/1687814017699765 |
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