Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation
The motion of a self propelling micro-organism symmetrically located in a rectangular channel containing viscous fluid has been studied by considering the peristaltic and longitudinal waves travelling along the walls of the channel. Theexpressions for the velocity of the micro-organism and time aver...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2007-07-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14703 |
| _version_ | 1818340366453047296 |
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| author | G. Radhakrishnamacharya R. Sharma |
| author_facet | G. Radhakrishnamacharya R. Sharma |
| author_sort | G. Radhakrishnamacharya |
| collection | DOAJ |
| description | The motion of a self propelling micro-organism symmetrically located in a rectangular channel containing viscous fluid has been studied by considering the peristaltic and longitudinal waves travelling along the walls of the channel. Theexpressions for the velocity of the micro-organism and time average flux have been obtained under long wavelength approximation by taking into account the viscosity variation of the fluid across the channel. Particular cases for constant viscosity and when it is represented by a step function have been discussed. It has been observed that the velocity of the micro-organism decreases as the viscosity of the peripheral layer increases and its thickness decreases. |
| first_indexed | 2024-12-13T15:41:45Z |
| format | Article |
| id | doaj.art-5de4893d4e9143048294a0aedcbc48f1 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T15:41:45Z |
| publishDate | 2007-07-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-5de4893d4e9143048294a0aedcbc48f12022-12-21T23:39:48ZengVilnius University PressNonlinear Analysis1392-51132335-89632007-07-0112310.15388/NA.2007.12.3.14703Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity VariationG. Radhakrishnamacharya0R. Sharma1National Institute of Technology, IndiaTechnology Bhawan, IndiaThe motion of a self propelling micro-organism symmetrically located in a rectangular channel containing viscous fluid has been studied by considering the peristaltic and longitudinal waves travelling along the walls of the channel. Theexpressions for the velocity of the micro-organism and time average flux have been obtained under long wavelength approximation by taking into account the viscosity variation of the fluid across the channel. Particular cases for constant viscosity and when it is represented by a step function have been discussed. It has been observed that the velocity of the micro-organism decreases as the viscosity of the peripheral layer increases and its thickness decreases.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14703peristalsismicro-organismperipheral layerwavelength |
| spellingShingle | G. Radhakrishnamacharya R. Sharma Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation Nonlinear Analysis peristalsis micro-organism peripheral layer wavelength |
| title | Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation |
| title_full | Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation |
| title_fullStr | Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation |
| title_full_unstemmed | Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation |
| title_short | Motion of a Self-Propelling Micro-Organism in a Channel Under Peristalsis: Effects of Viscosity Variation |
| title_sort | motion of a self propelling micro organism in a channel under peristalsis effects of viscosity variation |
| topic | peristalsis micro-organism peripheral layer wavelength |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/14703 |
| work_keys_str_mv | AT gradhakrishnamacharya motionofaselfpropellingmicroorganisminachannelunderperistalsiseffectsofviscosityvariation AT rsharma motionofaselfpropellingmicroorganisminachannelunderperistalsiseffectsofviscosityvariation |