Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel
Peristaltic pumping induced by a sinusoidal traveling wave in the walls of a two-dimensional channel filled with a viscous incompressible fluid mixed with rigid spherical particles is investigated theoretically taking the slip effect on the wall into account. A perturbation solution is obtained whic...
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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/10.1155/2015/703574 |
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| author | Mohammed H. Kamel Islam M. Eldesoky Bilal M. Maher Ramzy M. Abumandour |
| author_facet | Mohammed H. Kamel Islam M. Eldesoky Bilal M. Maher Ramzy M. Abumandour |
| author_sort | Mohammed H. Kamel |
| collection | DOAJ |
| description | Peristaltic pumping induced by a sinusoidal traveling wave in the walls of a two-dimensional channel filled with a viscous incompressible fluid mixed with rigid spherical particles is investigated theoretically taking the slip effect on the wall into account. A perturbation solution is obtained which satisfies the momentum equations for the case in which amplitude ratio (wave amplitude/channel half width) is small. The analysis has been carried out by duly accounting for the nonlinear convective acceleration terms and the slip condition for the fluid part on the wavy wall. The governing equations are developed up to the second order of the amplitude ratio. The zeroth-order terms yield the Poiseuille flow and the first-order terms give the Orr-Sommerfeld equation. The results show that the slip conditions have significant effect within certain range of concentration. The phenomenon of reflux (the mean flow reversal) is discussed under slip conditions. It is found that the critical reflux pressure is lower for the particle-fluid suspension than for the particle-free fluid and is affected by slip condition. A motivation of the present analysis has been the hope that such theory of two-phase flow process under slip condition is very useful in understanding the role of peristaltic muscular contraction in transporting biofluid behaving like a particle-fluid mixture. Also the theory is important to the engineering applications of pumping solid-fluid mixture by peristalsis. |
| format | Article |
| id | doaj-art-6c22e719356d407abec6bac1016da4f9 |
| 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-6c22e719356d407abec6bac1016da4f92025-02-03T01:25:41ZengWileyApplied Bionics and Biomechanics1176-23221754-21032015-01-01201510.1155/2015/703574703574Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar ChannelMohammed H. Kamel0Islam M. Eldesoky1Bilal M. Maher2Ramzy M. Abumandour3Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza, EgyptDepartment of Basic Engineering Sciences, Faculty of Engineering, Menoufia University, Shebin El-Kom, EgyptDepartment of Basic Engineering Sciences, Faculty of Engineering, Menoufia University, Shebin El-Kom, EgyptDepartment of Basic Engineering Sciences, Faculty of Engineering, Menoufia University, Shebin El-Kom, EgyptPeristaltic pumping induced by a sinusoidal traveling wave in the walls of a two-dimensional channel filled with a viscous incompressible fluid mixed with rigid spherical particles is investigated theoretically taking the slip effect on the wall into account. A perturbation solution is obtained which satisfies the momentum equations for the case in which amplitude ratio (wave amplitude/channel half width) is small. The analysis has been carried out by duly accounting for the nonlinear convective acceleration terms and the slip condition for the fluid part on the wavy wall. The governing equations are developed up to the second order of the amplitude ratio. The zeroth-order terms yield the Poiseuille flow and the first-order terms give the Orr-Sommerfeld equation. The results show that the slip conditions have significant effect within certain range of concentration. The phenomenon of reflux (the mean flow reversal) is discussed under slip conditions. It is found that the critical reflux pressure is lower for the particle-fluid suspension than for the particle-free fluid and is affected by slip condition. A motivation of the present analysis has been the hope that such theory of two-phase flow process under slip condition is very useful in understanding the role of peristaltic muscular contraction in transporting biofluid behaving like a particle-fluid mixture. Also the theory is important to the engineering applications of pumping solid-fluid mixture by peristalsis.http://dx.doi.org/10.1155/2015/703574 |
| spellingShingle | Mohammed H. Kamel Islam M. Eldesoky Bilal M. Maher Ramzy M. Abumandour Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel Applied Bionics and Biomechanics |
| title | Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel |
| title_full | Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel |
| title_fullStr | Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel |
| title_full_unstemmed | Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel |
| title_short | Slip Effects on Peristaltic Transport of a Particle-Fluid Suspension in a Planar Channel |
| title_sort | slip effects on peristaltic transport of a particle fluid suspension in a planar channel |
| url | http://dx.doi.org/10.1155/2015/703574 |
| work_keys_str_mv | AT mohammedhkamel slipeffectsonperistaltictransportofaparticlefluidsuspensioninaplanarchannel AT islammeldesoky slipeffectsonperistaltictransportofaparticlefluidsuspensioninaplanarchannel AT bilalmmaher slipeffectsonperistaltictransportofaparticlefluidsuspensioninaplanarchannel AT ramzymabumandour slipeffectsonperistaltictransportofaparticlefluidsuspensioninaplanarchannel |