Effect of nonlinear thermal radiation on double-diffusive mixed convection boundary layer flow of viscoelastic nanofluid over a stretching sheet

K Ganesh Kumar,B J Gireesha,S Manjunatha,N G Rudraswamy

doi:10.1186/s40712-017-0083-5

Abstract

BackgroundThe present exploration deliberates the effect of nonlinear thermal radiation on double diffusive free convective boundary layer flow of a viscoelastic nanofluid over a stretching sheet. Fluid is assumed to be electrically conducting in the presence of applied magnetic field. In this model, the Brownian motion and thermophoresis are classified as the main mechanisms which are responsible for the enhancement of convection features of the nanofluid. Entire different concept of nonlinear thermal radiation is utilized in the heat transfer process.MethodsAppropriate similarity transformations reduce the nonlinear partial differential system to ordinary differential system which is then solved numerically by using the Runge–Kutta–Fehlberg method with the help of shooting technique. Validation of the current method is proved by having compared with the preexisting results with limiting solution.ResultsThe effect of pertinent parameters on the velocity, temperature, solute concentration and nano particles concentration profiles are depicted graphically with some relevant discussion and tabulated result.ConclusionsIt is found that the effect of nanoparticle volume fraction and nonlinear thermal radiation stabilizes the thermal boundary layer growth. Also it was found that as the Brownian motion parameter increases, the local Nusselt number decreases, while the local friction factor coefficient and local Sherwood number increase.

Highlights

The present exploration deliberates the effect of nonlinear thermal radiation on double diffusive free convective boundary layer flow of a viscoelastic nanofluid over a stretching sheet
In the modern day, a great deal of interest has been created on heat and mass transfer of the boundary layer flow over a stretching sheet, in view of its numerous applications in various fields such as polymer processing industry in manufacturing processes
Crane (1970) computed an exact similarity solution for the boundary layer flow of a Newtonian fluid toward an elastic sheet which is stretched with velocity proportional to the distance from the origin

Summary

Introduction

The present exploration deliberates the effect of nonlinear thermal radiation on double diffusive free convective boundary layer flow of a viscoelastic nanofluid over a stretching sheet. The theoretical/experimental investigations on nanofluid flow and heat transfer were conducted by Rudyak et al (2010), Wang et al (1999), Eastman et al (2001), and Rudraswamy et al (2016; 2015) initiated an incompressible nanofluid over an impermeable stretching sheet and considered the uniform magnetic field To make such investigations, the following studies are quite useful (Kai-Long Hsiao (2016; Hsiao 2014; Hsiao 2017a; Hsiao 2017b; Hsiao 2017b) Buongiorno (2006), Khan and Pop (2010), and Kuznetsov and Nield (2010)). They concluded that the nanofluids possess the novel property of enhanced thermal conductivity of the working fluids

Methods

Results

Conclusion