The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Ahmed A Afify

doi:10.1155/2017/3804751

Abstract

The impacts of multiple slips with viscous dissipation on the boundary layer flow and heat transfer of a non-Newtonian nanofluid over a stretching surface have been investigated numerically. The Casson fluid model is applied to characterize the non-Newtonian fluid behavior. Physical mechanisms responsible for Brownian motion and thermophoresis with chemical reaction are accounted for in the model. The governing nonlinear boundary layer equations through appropriate transformations are reduced into a set of nonlinear ordinary differential equations, which are solved numerically using a shooting method with fourth-order Runge-Kutta integration scheme. Comparisons of the numerical method with the existing results in the literature are made and an excellent agreement is obtained. The heat transfer rate is enhanced with generative chemical reaction and concentration slip parameter, whereas the reverse trend is observed with destructive chemical reaction and thermal slip parameter. It is also noticed that the mass transfer rate is boosted with destructive chemical reaction and thermal slip parameter. Further, the opposite influence is found with generative chemical reaction and concentration slip parameter.

Highlights

Nowadays, nanofluids have been utilized as the working fluids instead of the base fluids due to their high thermal conductivity
One can observe that the heat transfer rate reduces with an increase in the thermal slip parameter, γ, whereas the opposite results effect is seen in the mass transfer rate
It is noticed that the heat transfer rate is enhanced with an increase in concentration slip parameter, δ, whereas the opposite results effect is seen in the mass transfer rate

Summary

Introduction

Nanofluids have been utilized as the working fluids instead of the base fluids due to their high thermal conductivity. Lee et al [2] confirmed that the nanofluids possess outstanding heat transfer characteristics compared to those of base fluids. Many investigators [3,4,5,6,7] have indicated that the nanofluids enhanced thermophysical characteristics and heat transfer behavior compared to the base fluids. Wang et al [5] discussed the viscosity of Al2O3 and CuO nanoparticles dispersed in water, vacuum pump fluid, engine oil, and ethylene glycol. Their results indicated that 30% enhancement with Al2O3/water nanofluid at 3% volume concentration is obtained. The influences of thermal radiation and particle shape on the Marangoni boundary layer flow and heat transfer of nanofluid driven by an exponential temperature were examined by Lin et al [7]

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Conclusion