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

V. P. Rathod; D. Sanjeevkumar

doi:https://doi.org/10.14445/22315373/IJMTT-V32P517

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 32 | Number 2 | Year 2016 | Article Id. IJMTT-V32P517 | DOI : https://doi.org/10.14445/22315373/IJMTT-V32P517

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

V. P. Rathod, D. Sanjeevkumar

Citation :

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), vol. 32, no. 2, pp. 112-126, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V32P517

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.

Keywords

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

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