Abstract

Recent studies carried out in terms of viscous flow and heat transfer of nano-fluids on the non-linear sheets. In this paper, detailed studies to understand the characteristics such as viscous flow and heat transfer of nano-fluids under the influence of thermal radiation and magnetic fields are studied using Keller-Box method. Various governing parameters affecting the viscous flow and heat transfers are drawn based on quantitative results. The raise in temperature affected the velocity to a negative value; however, the same observation was made even for the increasing magnetic field. The impact of radiation parameter is proportional seems to be proportional to temperature and it is observed to be inversely proportional with concentration.

Highlights

  • A nanofluid is a fluid which contains nanometer sized solid particles

  • Vajravelu studied the effect of flow and heat transfers in viscous fluids on a nonlinear stretched sheet under the absence of viscous dissipation [5]

  • Consider a nanofluid is flowing at y = 0 and consider fluid to be under the influence of electrical conduction because of the magnetic field B ( x), which is normal to stretching sheet

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Summary

Introduction

A nanofluid is a fluid which contains nanometer sized solid particles. Nanometer-size solid particles have unique chemical and physical properties. The study is being conducted to test the flow characteristics on a vertical plate and to study the nonlinearly stretching sheet with respect to viscous flow of nano fluids and heat transfer with magnetic field and thermal radiation. To study these aspects, Keller-Box method is used and is known to be one of the best numerical methods included with mixed finite volume that considers the average of conservation laws and related constitutive laws [12]. The importance of this paper is to understand the thermal radiation effect on stretched sheets along with various other factors discussed by previous researchers

Mathematical Formulation
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