A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids
A mathematical model has been constructed for peristaltic transport of micro-polar fluid in a circular cylindrical tube of finite length by letting sinusoidal waves propagate along the wall that induce contraction and relaxation but not expansion beyond the natural boundary. Axial and radial velocit...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Applied Bionics and Biomechanics |
| Online Access: | http://dx.doi.org/10.3233/ABB-2011-0003 |
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| author | S. K. Pandey Dharmendra Tripathi |
| author_facet | S. K. Pandey Dharmendra Tripathi |
| author_sort | S. K. Pandey |
| collection | DOAJ |
| description | A mathematical model has been constructed for peristaltic transport of micro-polar fluid in a circular cylindrical tube of finite length by letting sinusoidal waves propagate along the wall that induce contraction and relaxation but not expansion beyond the natural boundary. Axial and radial velocities and micro-rotation components are formulated for micro-polar fluid transportations by applying the method of long wavelength and low Reynolds number approximations in the analysis. Pressure distribution along the tube length is studied to investigate temporal effects. An in-depth study has been done to learn the effects of coupling number and micro-polar parameter. The effects of coupling number and micro-polar parameter are investigated also on mechanical efficiency, reflux and trapping. A significant difference observed is that unlike integral wave-trains propagating along the tube walls that have identical peaks of pressure, non-integral wave-trains have peaks of different sizes. |
| format | Article |
| id | doaj-art-5989456f3bbb46d78853ab2a0ad71497 |
| institution | Kabale University |
| issn | 1176-2322 1754-2103 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Bionics and Biomechanics |
| spelling | doaj-art-5989456f3bbb46d78853ab2a0ad714972025-02-03T06:06:41ZengWileyApplied Bionics and Biomechanics1176-23221754-21032011-01-0183-427929310.3233/ABB-2011-0003A Mathematical Model for Peristaltic Transport of Micro-Polar FluidsS. K. Pandey0Dharmendra Tripathi1Department of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221005, IndiaDepartment of Applied Mathematics, Institute of Technology, Banaras Hindu University, Varanasi 221005, IndiaA mathematical model has been constructed for peristaltic transport of micro-polar fluid in a circular cylindrical tube of finite length by letting sinusoidal waves propagate along the wall that induce contraction and relaxation but not expansion beyond the natural boundary. Axial and radial velocities and micro-rotation components are formulated for micro-polar fluid transportations by applying the method of long wavelength and low Reynolds number approximations in the analysis. Pressure distribution along the tube length is studied to investigate temporal effects. An in-depth study has been done to learn the effects of coupling number and micro-polar parameter. The effects of coupling number and micro-polar parameter are investigated also on mechanical efficiency, reflux and trapping. A significant difference observed is that unlike integral wave-trains propagating along the tube walls that have identical peaks of pressure, non-integral wave-trains have peaks of different sizes.http://dx.doi.org/10.3233/ABB-2011-0003 |
| spellingShingle | S. K. Pandey Dharmendra Tripathi A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids Applied Bionics and Biomechanics |
| title | A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids |
| title_full | A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids |
| title_fullStr | A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids |
| title_full_unstemmed | A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids |
| title_short | A Mathematical Model for Peristaltic Transport of Micro-Polar Fluids |
| title_sort | mathematical model for peristaltic transport of micro polar fluids |
| url | http://dx.doi.org/10.3233/ABB-2011-0003 |
| work_keys_str_mv | AT skpandey amathematicalmodelforperistaltictransportofmicropolarfluids AT dharmendratripathi amathematicalmodelforperistaltictransportofmicropolarfluids AT skpandey mathematicalmodelforperistaltictransportofmicropolarfluids AT dharmendratripathi mathematicalmodelforperistaltictransportofmicropolarfluids |