Peristaltic Flow of a Couple-Stress Fluid with Suspended Nanoparticles in an Asymmetric Channel with Flexible Walls

	International Journal of Mathematics Trends and Technology (IJMTT)
	© 2016 by IJMTT Journal
	Volume-32 Number-2
	Year of Publication : 2016
	Authors : V. P. Rathod, D. Sanjeevkumar
	10.14445/22315373/IJMTT-V32P517

V. P. Rathod, D. Sanjeevkumar "Peristaltic Flow of a Couple-Stress Fluid with Suspended Nanoparticles in an Asymmetric Channel with Flexible Walls", International Journal of Mathematics Trends and Technology (IJMTT). V32(2):112-126 April 2016. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
An analysis of peristaltic flow of a couple-stress fluid, with immersed nanoparticles, in an asymmetric channel having flexible walls is presented in this paper. General boundary conditions on velocity, temperature and concentration of nanoparticles are used for the analysis. Thermophoresis and Brownian diffusion effects govern the motion of nanoparticles. Long wave length approximation and low Reynolds number assumptions reduce the governing equations of motion into a system of partial differential equations. Closed form solutions for velocity, pressure gradient, pressure rise over a wavelength, temperature distribution and nanoparticle concentration distribution are presented. Effects of slip, couple-stress, thermal and solutal buoyancy, heat exchange, thermophoresis, Brownian motion on velocity profiles, temperature distribution, nanoparticle concentration distribution and pressure rise are discussed. The results of the paper may lead to possible technological applications in the field of biomedicine.

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Keywords
peristaltic motion, asymmetric channel, couple-stress fluid, nano particles, thermophoresis, Brownian motion, slip parameter.