Abstract

In this paper, heat transfer and entropy of steady Williamson nanofluid flow based on the fundamental symmetry is studied. The fluid is positioned over a stretched flat surface moving non-uniformly. Nanofluid is analyzed for its flow and thermal transport properties by consigning it to a convectively heated slippery surface. Thermal conductivity is assumed to be varied with temperature impacted by thermal radiation along with axisymmetric magnetohydrodynamics (MHD). Boundary layer approximations lead to partial differential equations, which are transformed into ordinary differential equations in light of a single phase model accounting for Cu-water and TiO2-water nanofluids. The resulting ODEs are solved via a finite difference based Keller box scheme. Various formidable physical parameters affecting fluid movement, difference in temperature, system entropy, skin friction and Nusselt number around the boundary are presented graphically and numerically discussed. It has also been observed that the nanofluid based on Cu-water is identified as a superior thermal conductor rather than TiO2-water based nanofluid.

Highlights

  • The study of nanofluid flow and heat transfer has gained importance in the current era Citation: Amer Qureshi, M

  • The primary concern of this study is to study Williamson nanofluid’s steady twodimensional boundary layer flow due to various non-uniform velocities of a stretching surface

  • The following discussion is based on the numerically obtained results by the framework detailed in the previous sections

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Summary

Introduction

The study of nanofluid flow and heat transfer has gained importance in the current era Citation: Amer Qureshi, M. Another study related to the impact of an unsteady MHD flow over a horizontal stretching sheet on its thermal and solutal transfer in the presence of heat generation/absorption was analyzed and enlightened by Mukhopadhyay [10]. Hussain et al [28] performed an analysis of the MHD flow and heat transfer of ferrofluid in a channel with non-symmetrical cavities They investigated and addressed the thermal transport properties of ferrofluid in the non-symmetric cavity in the channel with the magnetic field enforced on it. The primary concern of this study is to study Williamson nanofluid’s steady twodimensional boundary layer flow due to various non-uniform velocities of a stretching surface In this regard the findings of the work done by Jamshed and Aziz [43] have been extended and analyzed the steady case. The graphical and tabular representation of numerical results sheds light on the effect of the related parameters on the heat transport system

Mathematical Modeling
Model Assumptions and Conditions
Solution of the Problem
Verification of Numerical Results
Numerical Results and Discussion
Effect of Williamson Parameter λ
Effect of Magnetic Parameter M
Effect of Nanoparticle Concentration φ
Effect of Velocity Slip Parameter Λ
Effect of Thermal Radiation Parameter Nr
Effect of Biot Number Bi
Effect of the Nanoparticles Shape Factor m
Effect of Magnetic M and Radiation Nr Parameters on the Physical Quantaties
5.10. Effect of Flow Parameters on Skin Friction and Nusselt Number
Conclusions
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