Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect
A mathematical study on creeping flow of non-Newtonian fluids (power law model) through a nonuniform peristaltic channel, in which amplitude is varying across axial displacement, is presented, with slip effects included. The governing equations are simplified by employing the long wavelength and low...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Applied Bionics and Biomechanics |
| Online Access: | http://dx.doi.org/10.1155/2015/152802 |
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| author | M. K. Chaube D. Tripathi O. Anwar Bég Shashi Sharma V. S. Pandey |
| author_facet | M. K. Chaube D. Tripathi O. Anwar Bég Shashi Sharma V. S. Pandey |
| author_sort | M. K. Chaube |
| collection | DOAJ |
| description | A mathematical study on creeping flow of non-Newtonian fluids (power law model) through a nonuniform peristaltic channel, in which amplitude is varying across axial displacement, is presented, with slip effects included. The governing equations are simplified by employing the long wavelength and low Reynolds number approximations. The expressions for axial velocity, stream function, pressure gradient, and pressure difference are obtained. Computational and numerical results for velocity profile, pressure gradient, and trapping under the effects of slip parameter, fluid behavior index, angle between the walls, and wave number are discussed with the help of Mathematica graphs. The present model is applicable to study the behavior of intestinal flow (chyme movement from small intestine to large intestine). It is also relevant to simulations of biomimetic pumps conveying hazardous materials, polymers, and so forth. |
| format | Article |
| id | doaj-art-8ef91b085a284ddcbcb79a20a20be552 |
| institution | Kabale University |
| issn | 1176-2322 1754-2103 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Bionics and Biomechanics |
| spelling | doaj-art-8ef91b085a284ddcbcb79a20a20be5522025-02-03T06:47:23ZengWileyApplied Bionics and Biomechanics1176-23221754-21032015-01-01201510.1155/2015/152802152802Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip EffectM. K. Chaube0D. Tripathi1O. Anwar Bég2Shashi Sharma3V. S. Pandey4Department of Applied Mathematics, Echelon Institute of Technology, Faridabad 121002, IndiaDepartment of Mechanical Engineering, Manipal University Jaipur, Rajasthan 303007, IndiaGORT Engovation-Aerospace and Biomechanics, Southmere Avenue, Bradford BD7 3NU, UKDepartment of Mathematics, Indian Institute of Technology, Roorkee 247667, IndiaDepartment of Physics, National Institute of Technology Delhi, Delhi 110040, IndiaA mathematical study on creeping flow of non-Newtonian fluids (power law model) through a nonuniform peristaltic channel, in which amplitude is varying across axial displacement, is presented, with slip effects included. The governing equations are simplified by employing the long wavelength and low Reynolds number approximations. The expressions for axial velocity, stream function, pressure gradient, and pressure difference are obtained. Computational and numerical results for velocity profile, pressure gradient, and trapping under the effects of slip parameter, fluid behavior index, angle between the walls, and wave number are discussed with the help of Mathematica graphs. The present model is applicable to study the behavior of intestinal flow (chyme movement from small intestine to large intestine). It is also relevant to simulations of biomimetic pumps conveying hazardous materials, polymers, and so forth.http://dx.doi.org/10.1155/2015/152802 |
| spellingShingle | M. K. Chaube D. Tripathi O. Anwar Bég Shashi Sharma V. S. Pandey Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect Applied Bionics and Biomechanics |
| title | Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect |
| title_full | Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect |
| title_fullStr | Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect |
| title_full_unstemmed | Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect |
| title_short | Peristaltic Creeping Flow of Power Law Physiological Fluids through a Nonuniform Channel with Slip Effect |
| title_sort | peristaltic creeping flow of power law physiological fluids through a nonuniform channel with slip effect |
| url | http://dx.doi.org/10.1155/2015/152802 |
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