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