Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder
The contraction/expansion laminar flow containing rodlike particles in power-law fluid is studied numerically when the particles are in a dilute phase. The fluid velocity vector and streamline of flow are given at the finite Reynolds number (Re) region. The effects of Re, power index <i>n</...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-04-01
|
| Series: | Polymers |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-4360/15/8/1956 |
| _version_ | 1797603714281766912 |
|---|---|
| author | Wenqian Lin Zhenna Li Shanliang Zhang Jianzhong Lin |
| author_facet | Wenqian Lin Zhenna Li Shanliang Zhang Jianzhong Lin |
| author_sort | Wenqian Lin |
| collection | DOAJ |
| description | The contraction/expansion laminar flow containing rodlike particles in power-law fluid is studied numerically when the particles are in a dilute phase. The fluid velocity vector and streamline of flow are given at the finite Reynolds number (Re) region. The effects of Re, power index <i>n</i> and particle aspect ratio <i>β</i> on the spatial and orientation distributions of particles are analyzed. The results showed that for the shear-thickening fluid, particles are dispersed in the whole area in the contraction flow, while more particles are gathered near the two walls in the expansion flow. The spatial distribution of particles with small <i>β</i> is more regular. <i>Β</i> has a significant, <i>n</i> has a moderate, but Re has a small impact on the spatial distribution of particles in the contraction and expansion flow. In the case of large Re, most particles are oriented in the flow direction. The particles near the wall show obvious orientation along the flow direction. In shear-thickening fluid, when the flow changes from contraction to expansion, the orientation distribution of particles becomes more dispersed; while in shear-thinning fluid, the opposite is true. More particles orient to the flow direction in expansion flow than that in contraction flow. The particles with a large <i>β</i> tend to align with the flow direction more obviously. Re, <i>n</i> and <i>β</i> have great influence on the orientation distribution of particles in the contraction and expansion flow. Whether the particles initially located at the inlet can bypass the cylinder depends on the transverse position and initial orientation of the particles at the inlet. The number of particles with <i>θ</i><sub>0</sub> = 90° bypassing the cylinder is the largest, followed by <i>θ</i><sub>0</sub> = 45° and <i>θ</i><sub>0</sub> = 0°. The conclusions obtained in this paper have reference value for practical engineering applications. |
| first_indexed | 2024-03-11T04:35:40Z |
| format | Article |
| id | doaj.art-1e1abd00319e430ba59fd6be6c1a0bda |
| institution | Directory Open Access Journal |
| issn | 2073-4360 |
| language | English |
| last_indexed | 2024-03-11T04:35:40Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Polymers |
| spelling | doaj.art-1e1abd00319e430ba59fd6be6c1a0bda2023-11-17T21:02:56ZengMDPI AGPolymers2073-43602023-04-01158195610.3390/polym15081956Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a CylinderWenqian Lin0Zhenna Li1Shanliang Zhang2Jianzhong Lin3School of Media and Design, Hangzhou Dianzi University, Hangzhou 310018, ChinaState Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, ChinaState Key Laboratory of Fluid Power Transmission and Control, Zhejiang University, Hangzhou 310027, ChinaThe contraction/expansion laminar flow containing rodlike particles in power-law fluid is studied numerically when the particles are in a dilute phase. The fluid velocity vector and streamline of flow are given at the finite Reynolds number (Re) region. The effects of Re, power index <i>n</i> and particle aspect ratio <i>β</i> on the spatial and orientation distributions of particles are analyzed. The results showed that for the shear-thickening fluid, particles are dispersed in the whole area in the contraction flow, while more particles are gathered near the two walls in the expansion flow. The spatial distribution of particles with small <i>β</i> is more regular. <i>Β</i> has a significant, <i>n</i> has a moderate, but Re has a small impact on the spatial distribution of particles in the contraction and expansion flow. In the case of large Re, most particles are oriented in the flow direction. The particles near the wall show obvious orientation along the flow direction. In shear-thickening fluid, when the flow changes from contraction to expansion, the orientation distribution of particles becomes more dispersed; while in shear-thinning fluid, the opposite is true. More particles orient to the flow direction in expansion flow than that in contraction flow. The particles with a large <i>β</i> tend to align with the flow direction more obviously. Re, <i>n</i> and <i>β</i> have great influence on the orientation distribution of particles in the contraction and expansion flow. Whether the particles initially located at the inlet can bypass the cylinder depends on the transverse position and initial orientation of the particles at the inlet. The number of particles with <i>θ</i><sub>0</sub> = 90° bypassing the cylinder is the largest, followed by <i>θ</i><sub>0</sub> = 45° and <i>θ</i><sub>0</sub> = 0°. The conclusions obtained in this paper have reference value for practical engineering applications.https://www.mdpi.com/2073-4360/15/8/1956rod-like particlespower-law fluidspatial distributionorientationnumerical simulation |
| spellingShingle | Wenqian Lin Zhenna Li Shanliang Zhang Jianzhong Lin Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder Polymers rod-like particles power-law fluid spatial distribution orientation numerical simulation |
| title | Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder |
| title_full | Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder |
| title_fullStr | Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder |
| title_full_unstemmed | Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder |
| title_short | Numerical Study on the Distribution of Rodlike Particles in Laminar Flows of Power Law Fluids Past a Cylinder |
| title_sort | numerical study on the distribution of rodlike particles in laminar flows of power law fluids past a cylinder |
| topic | rod-like particles power-law fluid spatial distribution orientation numerical simulation |
| url | https://www.mdpi.com/2073-4360/15/8/1956 |
| work_keys_str_mv | AT wenqianlin numericalstudyonthedistributionofrodlikeparticlesinlaminarflowsofpowerlawfluidspastacylinder AT zhennali numericalstudyonthedistributionofrodlikeparticlesinlaminarflowsofpowerlawfluidspastacylinder AT shanliangzhang numericalstudyonthedistributionofrodlikeparticlesinlaminarflowsofpowerlawfluidspastacylinder AT jianzhonglin numericalstudyonthedistributionofrodlikeparticlesinlaminarflowsofpowerlawfluidspastacylinder |