Abstract

In this study, the heat and mass transfer characteristics of nanofluid flow over a nonlinearly stretching sheet are investigated. The important effects of axisymmetric of thermal conductivity and viscous dissipation have been included in the model of nanofluids. The Buongiorno model is considered to solve the nanofluid boundary layer problem. The governing nonlinear partial differential equations have been transformed into a system of ordinary differential equations and are solved numerically via the shooting technique. The validity of this method was verified by comparison with previous work performed for nanofluids without the effects of the magnetic field and viscous dissipation. The analytical investigation is carried out for different governing parameters, namely, the Brownian motion parameter, thermophoresis parameter, magnetic parameter, Biot number, and Eckert number. The results indicate that the skin friction coefficient has a direct relationship with the Brownian motion number and thermophoresis number. Moreover, it can be seen that the Nusselt number decreases with the increase of the magnetic parameter and Eckert number.

Highlights

  • In recent decades, nanofluid technology has contributed to energy costs in terms of heat transfer control in energy systems

  • Studied the radiation of the nanofluid effect in the presence of a magnetic field, and they discovered that the heat transfer rate was reduced with augmentation of Lorentz forces

  • The magnetic field effect on force convection heat transfer was investigated by Sheikhholeslami et al [2], who found that the Kelvin force effects are more pronounced at high Reynolds numbers

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Summary

Introduction

Nanofluid technology has contributed to energy costs in terms of heat transfer control in energy systems. Turkyilmazoglu [3] investigated the magnetohydrodynamic, electrically conductive slip flow of a non-Newtonian fluid past a shrinking sheet Their results indicated that the magnetic field presence has considerable effects on temperature and velocity fields. Ishak [4] considered the effects of radiation on the steady two-dimensional magnetohydrodynamic (MHD) flow past a permeable stretching/shrinking sheet. They discovered that the surface rate of heat transfer decreases in the presence of radiation. Sheikholeslami and Kandelousi [5] investigated the spatially variable magnetic field effect on heat transfer and ferrofluid flow by examining the condition of a constant heat flux boundary

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