On the Numerical Analysis of Unsteady MHD Boundary Layer Flow of Williamson Fluid Over a Stretching Sheet and Heat and Mass Transfers

Stanford Shateyi,Hillary Muzara

doi:10.3390/computation8020055

Stanford Shateyi, Hillary Muzara

Open Access

https://doi.org/10.3390/computation8020055

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Journal: Computation	Publication Date: Jun 2, 2020
Citations: 23	License type: CC BY 4.0

Affiliation: University of Zimbabwe, University of Venda

Abstract

A thorough and detailed investigation of an unsteady free convection boundary layer flow of an incompressible electrically conducting Williamson fluid over a stretching sheet saturated with a porous medium has been numerically carried out. The partial governing equations are transferred into a system of non-linear dimensionless ordinary differential equations by employing suitable similarity transformations. The resultant equations are then numerically solved using the spectral quasi-linearization method. Numerical solutions are obtained in terms of the velocity, temperature and concentration profiles, as well as the skin friction, heat and mass transfers. These numerical results are presented graphically and in tabular forms. From the results, it is found out that the Weissenberg number, local electric parameter, the unsteadiness parameter, the magnetic, porosity and the buoyancy parameters have significant effects on the flow properties.

Highlights

The study of non-Newtonian fluids has attracted many researchers owing to its enormous applications in industrial and engineering sectors, especially in manufacturing and processing industries
We present a spectral method based on a quasi-linearization method called the spectral quasi-linearization method (SQLM), Motsa et al [42]
The spectral quasi-linearization method was used to generate the results to be discussed

Summary

Introduction

The study of non-Newtonian fluids has attracted many researchers owing to its enormous applications in industrial and engineering sectors, especially in manufacturing and processing industries. The relationship between the shear stress and rate of strain is non-linear at a given temperature and pressure in a non-Newtonian fluid. To this end, these fluids cannot be modelled using the classical Navier-Stokes equations. Non-Newtonian fluids have the ability to: (i) shear-thin or shear thicken, (ii) exhibit thixotropy, (iii) allow stress relaxation, (iv) creep in a nonlinear manner, (v) develop normal stress differences, and (vi) exhibit a threshold for the shear stress before it starts to flow. Many non-Newtonian fluids possess one or more of these characteristics

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