Electro-kinetically modulated peristaltic mechanism of Jeffrey liquid through a micro-channel with variable viscosity

Author:

Choudhari Rajashekhar1,Vaidya Hanumesh2,Mebarek-Oudina Fateh3,Wakif Abderrahim4,Gudekote Manjunatha5,Prasad Kerehalli2,Vajravelu Kuppalapalle6,Keriyapa Shivaraya2

Affiliation:

1. Department of Mathematics, Karnataka State Akkamahadevi Women’s University, Vijayapura, Karnataka, India

2. Department of Mathematics, Vijayanagara Sri Krishnadevaraya University, Ballari, Karnataka, India

3. Department of Physics, Faculty of Sciences, University of 20 août-Skikda, Skikda, Algeria

4. Laboratory of Mechanics, Faculty of Sciences Ain Chock, Hassan II University, Casablanca, Morocco

5. Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India

6. Department of Mathematics, University of Central Florida, Orlando, Fla., USA

Abstract

A theoretical model is developed to stimulate electro-kinetic transfer through peristaltic movement in a micro-channel. The effect of variable viscosity and wall properties are considered. The long wavelength and small Reynolds number approximations are supposed to simplify the governing formulas. Debye-Huckel linearization is also utilized. The perturbation technique is utilized to solve the governing non-linear equations. The graphical outcomes are presented for velocity and streamlines.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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