Unsteady Peristaltic Transport of Maxwell Fluid Through a Finite Length Tube: Application to Oesophageal Swallowing

S.K.Pandey; Dharmendra Tripathi

doi:10.3879/j.issn.1000-0887.2012.01.002

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S.K.Pandey, Dharmendra Tripathi. Unsteady Peristaltic Transport of Maxwell Fluid Through a Finite Length Tube: Application to Oesophageal Swallowing[J]. Applied Mathematics and Mechanics, 2012, 33(1): 14-23. doi: 10.3879/j.issn.1000-0887.2012.01.002

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Unsteady Peristaltic Transport of Maxwell Fluid Through a Finite Length Tube: Application to Oesophageal Swallowing

doi: 10.3879/j.issn.1000-0887.2012.01.002

S.K.Pandey¹,
Dharmendra Tripathi²

¹Department of Applied Mathematics, IT-BHU, Varanasi221005, India;²Department of Mathematics, Indian Institute of Technology Ropar, Punjab140001, India

Received Date: 2011-03-24
Rev Recd Date: 2011-09-22
Publish Date: 2012-01-15

Abstract

Abstract

Unsteady peristaltic transport of Maxwell fluid in a finite tube was investigated. The walls of the tube were subjected to contraction waves that do not cross the stationary boundaries. The analysis was carried out by using long wavelength approximation in non-dimensional form. The expressions for axial and radial velocities were derived and pressures across a wavelength and also across the tube-length were also estimated. The reflux phenomenon was discussed that culminates into determination of the reflux limit. Mathematical formulations were physically interpreted for the flow of masticated food materials such as bread, white eggs etc. in the oesophagus. It is revealed that Maxwell fluids are favorable to flow in the oesophagus in comparison with Newtonian fluids. This endorses the experimental finding of Tomoko Takahashi et al.It is further revealed that relaxation time affects neither shear stress nor reflux limit. It is found that the peaks of pressure are identical in the integral case while the peaks are different in the non-integral case.
- peristaltic transport,
- Maxwell fluid,
- oesophagus,
- axisymmetric flow,
- reflux

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References(21)

References

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