Abstract

This paper presents an investigation of peristaltic flow of Bingham plastic fluid in an inclined tapered asymmetric channel with variable viscosity. Taken into consideration Hall current, velocity, thermal slip conditions, Energy equation is modeled by taking Joule heating effect into consideration and by holding assumption of long wavelength and low Reynolds number approximation these equations simplified into couple of non-linear ordinary differential equations that solved using perturbation technique. Graphical analysis has been involved for various flow parameters emerging in the problem. We observed two opposite behaviors for Hall parameter and Hartman number on velocity axial and temperature curves.

Highlights

  • Peristaltic transport is a successive sinusoidal waves movement of fluids along a flexible channel walls

  • Inspired by this fact and since the modern industrial fluids are characterized by their variable viscosity, a few researchers indicate studies regarding the peristaltic transport of fluids having variable viscosity

  • Adnan and Abdulhadi [7] analyzed the effect of an inclined magnetic field on peristaltic flow of Bingham plastic fluid in an inclined symmetric channel with slip conditions

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Summary

Introduction

Peristaltic transport is a successive sinusoidal waves movement of fluids along a flexible channel walls. Adnan and Abdulhadi [7] analyzed the effect of an inclined magnetic field on peristaltic flow of Bingham plastic fluid in an inclined symmetric channel with slip conditions. Hayat et al [9] studied the effect of soret and dufour on the peristaltic transport of Bingham plastic fluid considering magnetic field. While Lakshminarayana et al [10] investigated the heat transfer and the effect of slip condition and wall properties on the peristaltic transport of Bingham fluid. The influence of Hall and Joule's heating on the peristaltic flow of Bingham plastic fluid passing through an inclined tapered asymmetric channel with variable viscosity is studied. The effects of various parameters on axial velocity, temperature, stream function and heat transfer coefficients are discussed graphically

Mathematical Modeling
Solution Methodology
First order system The general form of first- order system is ψ1yyyy yψ0yyyy
Velocity Profile
Temperature Distribution
Heat Transfer
Trapping phenomenon
Conclusions
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