Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media
This theoretical study analyses the effects of geometrical and fluid parameters on the flow metrics in the Hagen-Poiseuille and plane-Poiseuille flows of Herschel-Bulkley fluid through porous medium which is considered as (i) single pipe/single channel and (ii) multi-pipes/multi-channels when the di...
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| Format: | Article |
| Language: | English |
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Shahid Chamran University of Ahvaz
2022
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| Online Access: | http://eprints.utm.my/102866/1/KKViswanathan2022_TheoreticalStudyonPoiseuilleFlow.pdf |
| _version_ | 1796867348328611840 |
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| author | Sankarl, D. S. Viswanathan, K. K. Nagar, Atulya K. Jafaars, Nurul Aini |
| author_facet | Sankarl, D. S. Viswanathan, K. K. Nagar, Atulya K. Jafaars, Nurul Aini |
| author_sort | Sankarl, D. S. |
| collection | ePrints |
| description | This theoretical study analyses the effects of geometrical and fluid parameters on the flow metrics in the Hagen-Poiseuille and plane-Poiseuille flows of Herschel-Bulkley fluid through porous medium which is considered as (i) single pipe/single channel and (ii) multi-pipes/multi-channels when the distribution of pores size in the flow medium are represented by each one of the four probability density functions: (i) Uniform distribution, (ii) Linear distribution of Type-I, (iii) Linear distribution of Type-II and (iv) Quadratic distribution. It is found that in Hagen-Poiseuille and plane-Poiseuille flows, Buckingham-Reiner function increases linearly when the pressure gradient increases in the range 1 - 2.5 and then it ascends slowly with the raise of pressure gradient in the range 2.5 - 5.In all of the four kinds of pores size distribution, the fluid's mean velocity, flow medium's porosity and permeability are substantially higher in Hagen-Poiseuille fluid rheology than in plane-Poiseuille fluid rheology and, these flow quantities ascend considerably with the raise of pipe radius/channel width and a reverse characteristic is noted for these rheological measures when the power law index parameter increases.The flow medium's porosity decreases rapidly when the period of the pipes/channels distribution rises from 1 to 2 and it drops very slowly when the period of the pipes/channels rises from 2 to 11. |
| first_indexed | 2024-03-05T21:25:53Z |
| format | Article |
| id | utm.eprints-102866 |
| institution | Universiti Teknologi Malaysia - ePrints |
| language | English |
| last_indexed | 2024-03-05T21:25:53Z |
| publishDate | 2022 |
| publisher | Shahid Chamran University of Ahvaz |
| record_format | dspace |
| spelling | utm.eprints-1028662023-09-25T01:47:08Z http://eprints.utm.my/102866/ Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media Sankarl, D. S. Viswanathan, K. K. Nagar, Atulya K. Jafaars, Nurul Aini QA Mathematics This theoretical study analyses the effects of geometrical and fluid parameters on the flow metrics in the Hagen-Poiseuille and plane-Poiseuille flows of Herschel-Bulkley fluid through porous medium which is considered as (i) single pipe/single channel and (ii) multi-pipes/multi-channels when the distribution of pores size in the flow medium are represented by each one of the four probability density functions: (i) Uniform distribution, (ii) Linear distribution of Type-I, (iii) Linear distribution of Type-II and (iv) Quadratic distribution. It is found that in Hagen-Poiseuille and plane-Poiseuille flows, Buckingham-Reiner function increases linearly when the pressure gradient increases in the range 1 - 2.5 and then it ascends slowly with the raise of pressure gradient in the range 2.5 - 5.In all of the four kinds of pores size distribution, the fluid's mean velocity, flow medium's porosity and permeability are substantially higher in Hagen-Poiseuille fluid rheology than in plane-Poiseuille fluid rheology and, these flow quantities ascend considerably with the raise of pipe radius/channel width and a reverse characteristic is noted for these rheological measures when the power law index parameter increases.The flow medium's porosity decreases rapidly when the period of the pipes/channels distribution rises from 1 to 2 and it drops very slowly when the period of the pipes/channels rises from 2 to 11. Shahid Chamran University of Ahvaz 2022 Article PeerReviewed application/pdf en http://eprints.utm.my/102866/1/KKViswanathan2022_TheoreticalStudyonPoiseuilleFlow.pdf Sankarl, D. S. and Viswanathan, K. K. and Nagar, Atulya K. and Jafaars, Nurul Aini (2022) Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media. Journal of Applied and Computational Mechanics, 8 (4). pp. 1246-1269. ISSN 2394-7055 http://dx.doi.org/10.22055/JACM.2021.36921.2928 DOI: 10.22055/JACM.2021.36921.2928 |
| spellingShingle | QA Mathematics Sankarl, D. S. Viswanathan, K. K. Nagar, Atulya K. Jafaars, Nurul Aini Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media |
| title | Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media |
| title_full | Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media |
| title_fullStr | Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media |
| title_full_unstemmed | Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media |
| title_short | Theoretical study on poiseuille flow of herschel-bulkley fluid in porous media |
| title_sort | theoretical study on poiseuille flow of herschel bulkley fluid in porous media |
| topic | QA Mathematics |
| url | http://eprints.utm.my/102866/1/KKViswanathan2022_TheoreticalStudyonPoiseuilleFlow.pdf |
| work_keys_str_mv | AT sankarlds theoreticalstudyonpoiseuilleflowofherschelbulkleyfluidinporousmedia AT viswanathankk theoreticalstudyonpoiseuilleflowofherschelbulkleyfluidinporousmedia AT nagaratulyak theoreticalstudyonpoiseuilleflowofherschelbulkleyfluidinporousmedia AT jafaarsnurulaini theoreticalstudyonpoiseuilleflowofherschelbulkleyfluidinporousmedia |