On Numerical Analysis of Carreau–Yasuda Nanofluid Flow over a Non-Linearly Stretching Sheet under Viscous Dissipation and Chemical Reaction Effects

Stanford Shateyi,Hillary Muzara

doi:10.3390/math8071148

Stanford Shateyi, Hillary Muzara

Open Access

https://doi.org/10.3390/math8071148

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Journal: Mathematics	Publication Date: Jul 14, 2020
Citations: 6	License type: CC BY 4.0

Affiliation: University of Venda, University of Zimbabwe

Abstract

This work reports the Carreau–Yasuda nanofluid flow over a non-linearly stretching sheet viscous dissipation and chemical reaction effects. The coupled system of non-linear partial differential equations are changed into a system of linear differential equations employing similarity equations. The spectral quasi-linearization method was used to solve the linear differential equations numerically. Error norms were used to authenticate the accuracy and convergence of the numerical method. The effects of some thermophysical parameters of interest in this current study on the non-dimensional fluid velocity, concentration and temperature, the skin friction, local Nusselt and Sherwood numbers are presented graphically. Tables were used to depict the effects of selected parameters on the skin friction and the Nusselt number.

Highlights

Researchers have recently shown a lot of interest towards the study of non-Newtonian fluids due to their widespread applications in areas such as mining industries, where the handling of slurries and mud is done, in biology and medicine
The main objective of this current study is to investigate the magnetohydrodynamic flow of the Carreau–Yasuda nanofluid over a non-linear stretching sheet subjected to slip, convective and zero normal flux conditions with viscous dissipation, thermal radiation and chemical reaction
This paper considers the Carreau–Yasuda nanofluid flow over a non-linear stretching sheet

Summary

Introduction

Researchers have recently shown a lot of interest towards the study of non-Newtonian fluids due to their widespread applications in areas such as mining industries, where the handling of slurries and mud is done, in biology and medicine. Unlike Newtonian fluids, non-Newtonian fluids do exist abundantly in nature. Some typical examples of non-Newtonian fluids that occur commonly include chyme, blood, oil, paints and lubricants. Non-Newtonian fluids cannot be modelled using the classical. Navier–Stokes equations due to the non-linear relationship between the shear stress and rate of strain at a given temperature. It is worth mentioning that non-Newtonian fluids are more complicated to handle than Newtonian fluids, Kahshan et al [1]. Detailed explanation and classification of non-Newtonian fluids can be found in Cioranescu et al [2]

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