Peristaltic Flow of Two-Layered Fluids in an Elastic Tube

To analyze the flow of physiological fluids through elastic biological systems such as small blood vessels, peristaltic transport of immiscible incompressible fluids in a circular elastic tube is studied under long-wavelength and low Reynolds number assumptions. In the proposed two-layered model, co...

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Bibliographic Details
Published inNational Academy of Sciences, India. Proceedings. Section A. Physical Sciences Vol. 91; no. 4; pp. 649 - 660
Main Authors Sreenadh, S., Arunachalam, P. V., Sumalatha, B.
Format Journal Article Conference Proceeding
LanguageEnglish
Published New Delhi Springer India 01.12.2021
Springer Nature B.V
Subjects
Applied and Technical Physics
Atomic
Blood vessels
Elastic analysis
Fluid flow
Incompressible flow
Incompressible fluids
Mathematical models
Molecular
Optical and Plasma Physics
Parameters
Physics
Physics and Astronomy
Quantum Physics
Reynolds number
Scientific Research Paper
Viscous fluids
Jeffrey fluid
Elastic tube
Peristaltic transport
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Summary:To analyze the flow of physiological fluids through elastic biological systems such as small blood vessels, peristaltic transport of immiscible incompressible fluids in a circular elastic tube is studied under long-wavelength and low Reynolds number assumptions. In the proposed two-layered model, core region is assumed to be governed by Jeffrey model, whereas the peripheral region is described by Newtonian model. Analytical expressions have been obtained for velocity, flux and pressure rise between two fluids. The equation of the interface is determined as a sixth-degree equation with coefficient functions of non-Newtonian, elastic and peristaltic parameters. This may be treated as a generalization of the work of Rao and Usha (J. Fluid Mech. 298:271–285, 1995) including the effects of elasticity and the non-Newtonian parameters. It is observed that the pressure rise decreases with the increasing values of Jeffrey parameter and radius of the elastic tube. In the absence of peristalsis, when coefficient of viscosity tends to one, ratio of radii tends to one and Jeffrey parameter tends to zero, our results are in good agreement with the results of Rubinow and Keller (J. theor. Biol. 35:299–313, 1972) for the flow of single viscous fluid in an elastic tube.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-021-00762-9