Peristaltic Transport of a Rheological Fluid: Model for Movement of Food Bolus Through Esophagus

J.C.Misra; S.Maiti

doi:10.3879/j.issn.1000-0887.2012.03.004

Volume 33 Issue 3

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J.C.Misra, S.Maiti. Peristaltic Transport of a Rheological Fluid: Model for Movement of Food Bolus Through Esophagus[J]. Applied Mathematics and Mechanics, 2012, 33(3): 303-319. doi: 10.3879/j.issn.1000-0887.2012.03.004

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Peristaltic Transport of a Rheological Fluid: Model for Movement of Food Bolus Through Esophagus

doi: 10.3879/j.issn.1000-0887.2012.03.004

J.C.Misra¹,
S.Maiti²

¹Department of Mathematics, Institute of Technical Education and Research,Siksha O Anusandhan University, Bhubaneswar 751030, India;²School of Medical Science and Technology, Indian Institute of Technology, Kharagpur 721302, India

Received Date: 2011-03-16
Rev Recd Date: 2011-12-06
Publish Date: 2012-03-15

Abstract

Abstract

Fluid mechanical peristaltic transport through esophagus had been of concern. A mathematical model had been developed with an aim to study the peristaltic transport of a rheological fluid for arbitrary wave shapes and tube lengths. The Ostwald-de Waele power law of viscous fluid was considered here to depict the non-Newtonian behaviour of the fluid. The model was formulated and analyzed with the specific aim of exploring some important information concerning the movement of food bolus through the esophagus. The analysis had been carried out by using lubrication theory. The study was particularly suitable for cases where the Reynolds number was small. The esophagus was treated as a circular tube through which the transport of food bolus takes places by periodic contraction of the esophageal wall. Variation of different variables concerned with the transport phenomena such as pressure, flow velocity, particle trajectory and reflux were investigated for a single wave as well as for a train of periodic peristaltic waves. Locally variable pressure was seen to be highly sensitive to the flow index n. The study clearly showes that continuous fluid transport for Newtonian/rheological fluids by wave train propagation is much more effective than widely spaced single wave propagation in the case of peristaltic movement of food bolus in the esophagus.
- non-Newtonian fluid,
- food bolus,
- esophagus,
- peristaltic transport,
- flow reversal,
- single wave,
- wave train,
- particle trajectory

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References(16)

References

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