# ANALYSIS OF PERISTALTIC FLOW OF RABINOWITSCH FLUID IN A NON-UNIFORM CHANNEL: ANALYTICAL APPROACH

• Rajashekhar C Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
• Manjunath G Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
• Hanumesh Vaidya Vijayanagara Sri Krishnadevaraya University
• Kerehalli Vinayaka Prasad Vijayanagara Sri Krishnadevaraya University Jnana Sagara Campus,Vinayaka Nagar Cantonment,Ballari: 583105
• Divya B B Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, Karnataka, India
• Saraswati J Vijayanagara Sri Krishnadevaraya University Jnana Sagara Campus,Vinayaka Nagar Cantonment,Ballari: 583105
Keywords: velocity slip, thermal slip, concentration slip, wall rigidity, wall stiffness, viscous damping force parameter

### Abstract

The present paper examines the impact of heat and mass transfer on the peristaltic flow of Rabinowitsch fluid through a non-uniform channel. The effects of slip and variable fluid properties are taken into account. The impacts of wall rigidity, wall stiffness, and viscous damping force parameter are considered. The equations governing the flow are rendered dimensionless by using a suitable similarity transformation. The governing equations of momentum, motion, energy, and concentration are solved by utilizing long wavelength and small Reynolds number approximation. The MATLAB 2019a programming has been used to obtain the solutions for velocity and concentration profiles. The series solution technique has been utilized to get the expression for temperature. The influence of relevant parameters on velocity, temperature, concentration, and streamlines are examined for viscous, shear-thinning, and shear thickening fluid models. The examination uncovers that a rise in the value of variable viscosity and variable thermal conductivity improves the velocity and temperature profiles for Newtonian and pseudoplastic fluid models. Moreover, an increase in the volume of the trapped bolus is seen for an expansion in the estimation of the velocity slip parameter for all the three considered models.

Published
2020-02-26
Section
Heat and Mass Transfer