Transportation of micro-polar fluid by dilating peristaltic waves
In this paper, we analytically investigate axi-symmetric flow of a micro-polar fluid induced by peristaltic waves with progressively dilating amplitude. By means of mathematical formulation we examine its impact on swallowing of single food bolus through oesophagus. Liquid crystals, blood, some edib...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2020-10-01
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| Series: | Journal of King Saud University: Science |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364720302263 |
| _version_ | 1831793478426689536 |
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| author | Sanjay Kumar Pandey Subhash Chandra |
| author_facet | Sanjay Kumar Pandey Subhash Chandra |
| author_sort | Sanjay Kumar Pandey |
| collection | DOAJ |
| description | In this paper, we analytically investigate axi-symmetric flow of a micro-polar fluid induced by peristaltic waves with progressively dilating amplitude. By means of mathematical formulation we examine its impact on swallowing of single food bolus through oesophagus. Liquid crystals, blood, some edible solutions resemble micro-polar property. Engineering applications using polymer solutions, colloidal solutions, drilling fluids in oil industries etc. may be better understood by this investigation. Long wavelength and low Reynolds number approximations are employed to get rid of non-linear convective terms and minimise curvature effects of the wall. It is inferred that increasing coupling number and amplitude dilation parameter enhance the pressure inside the tube, while micro-polar parameter is responsible for reducing the pressure along the axis of the tube. Local wall shear stress too increases with amplitude dilation parameter. The study suggests that achalasia patients should avoid the consuption of micro-polar fluids. It is also concluded that reflux action weakens with dilation of wave amplitude for micro-polar flows. |
| first_indexed | 2024-12-22T15:33:12Z |
| format | Article |
| id | doaj.art-ec94a5c2ac424aedbcbae90e0d328eb4 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-22T15:33:12Z |
| publishDate | 2020-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-ec94a5c2ac424aedbcbae90e0d328eb42022-12-21T18:21:20ZengElsevierJournal of King Saud University: Science1018-36472020-10-0132729392949Transportation of micro-polar fluid by dilating peristaltic wavesSanjay Kumar Pandey0Subhash Chandra1Corresponding author.; Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, IndiaDepartment of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221005, IndiaIn this paper, we analytically investigate axi-symmetric flow of a micro-polar fluid induced by peristaltic waves with progressively dilating amplitude. By means of mathematical formulation we examine its impact on swallowing of single food bolus through oesophagus. Liquid crystals, blood, some edible solutions resemble micro-polar property. Engineering applications using polymer solutions, colloidal solutions, drilling fluids in oil industries etc. may be better understood by this investigation. Long wavelength and low Reynolds number approximations are employed to get rid of non-linear convective terms and minimise curvature effects of the wall. It is inferred that increasing coupling number and amplitude dilation parameter enhance the pressure inside the tube, while micro-polar parameter is responsible for reducing the pressure along the axis of the tube. Local wall shear stress too increases with amplitude dilation parameter. The study suggests that achalasia patients should avoid the consuption of micro-polar fluids. It is also concluded that reflux action weakens with dilation of wave amplitude for micro-polar flows.http://www.sciencedirect.com/science/article/pii/S1018364720302263PeristalsisOesophagusMicro-polar fluidWave dilation parameterCoupling numberMicro-polar parameter |
| spellingShingle | Sanjay Kumar Pandey Subhash Chandra Transportation of micro-polar fluid by dilating peristaltic waves Journal of King Saud University: Science Peristalsis Oesophagus Micro-polar fluid Wave dilation parameter Coupling number Micro-polar parameter |
| title | Transportation of micro-polar fluid by dilating peristaltic waves |
| title_full | Transportation of micro-polar fluid by dilating peristaltic waves |
| title_fullStr | Transportation of micro-polar fluid by dilating peristaltic waves |
| title_full_unstemmed | Transportation of micro-polar fluid by dilating peristaltic waves |
| title_short | Transportation of micro-polar fluid by dilating peristaltic waves |
| title_sort | transportation of micro polar fluid by dilating peristaltic waves |
| topic | Peristalsis Oesophagus Micro-polar fluid Wave dilation parameter Coupling number Micro-polar parameter |
| url | http://www.sciencedirect.com/science/article/pii/S1018364720302263 |
| work_keys_str_mv | AT sanjaykumarpandey transportationofmicropolarfluidbydilatingperistalticwaves AT subhashchandra transportationofmicropolarfluidbydilatingperistalticwaves |