Peristaltic Transport of Two Layered Viscous Incompressible Fluid with Varying Amplitude

Manjunatha, G and Basavarajappa, K S and Katiyar, V K and Onkarappa, K S (2014) Peristaltic Transport of Two Layered Viscous Incompressible Fluid with Varying Amplitude. International Journal of Mathematical Modeling and Physical Sciences, 2 (1). ISSN 2320-9992

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Abstract

Mathematical model on the effects of peristaltic transport of two layered power law fluids in axi-symmetric tube is studied. Use of power law fluid model allows independent choice of Newtonian fluid for chyme in core layer and non- Newtonian fluid for mucus in peripheral layer. Inertia forces are considered to be negligible when compared to low Reynolds number. Pressure is considered to be uniform due to long wavelength approximation in reference to amplitude ratios ranging from minimum to full occlusion. For given amplitude ratio the theoretical pressure rise decreases linearly with average flux. Computations using Navier-Stokes equations for cylindrical polar coordinates for two layered flow in chyme and mucus for velocity, average flux, interface and resistance of flow for a simple sinusoidal wave reveal that there exists a positive pumping with a mean flow rate (mean flux) for Newtonian fluid core layer (chyme) supported by peripheral layer (mucus) for the transport of fluid block. The mucus layer acts as lubricant and accelerates the total flux for the continuous flow. The rheology of the peripheral layer fluid is a dominant factor in producing a negative or positive mean flow. It can be noticed that a sinusoidal wave always yields a positive mean flow for power law fluids.

Item Type: Article
Uncontrolled Keywords: Peristaltic, Occlusion, Chyme, Mucus.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 09 Oct 2014 07:06
Last Modified: 09 Oct 2014 07:06
URI: http://eprints.manipal.edu/id/eprint/140812

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