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Applied Mathematics and Mechanics

, Volume 33, Issue 12, pp 1545–1554 | Cite as

Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating

  • O. D. MakindeEmail author
Article

Abstract

The combined effects of viscous dissipation and Newtonian heating on boundary layer flow over a moving flat plate are investigated for two types of water-based Newtonian nanofluids containing metallic or nonmetallic nanoparticles such as copper (Cu) and titania (TiO2). The governing partial differential equations are transformed into ordinary differential equations through a similarity transformation and are solved numerically by a Runge-Kutta-Fehlberg method with a shooting technique. The conclusions are that the heat transfer rate at the moving plate surface increases with the increases in the nanoparticle volume fraction and the Newtonian heating, while it decreases with the increase in the Brinkmann number. Moreover, the heat transfer rate at the moving plate surface with Cu-water as the working nanofluid is higher than that with TiO2-water.

Key words

Sakiadis flow nanofluid viscous dissipation Newtonian heating 

Nomenclature

u, v

velocitycomponents

ψ

stream function

x, y

coordinates

θ

dimensionless temperature

knf

nanofluid thermal conductivity

µnf

nanofluid dynamic viscosity

Pr

Prandtl number

αnf

nanofluid thermal diffusivity

Bi

local Biot number

η

similarity variable

T

free stream temperature

ρnf

nanofluid density

f

dimensionless stream function

ρs

solid fraction density

U0

plate uniform velocity

υf

base fluid kinematic viscosity

T

temperature

µf

base fluid dynamic viscosity

ks

solid fraction thermal conductivity

φ

solid volume fraction parameter

Rex

local Reynolds number

cp

specific heat at constant pressure

Br

Brinkmann number

Tf

hot fluid temperature

Cf

skin friction coefficient

Nu

local Nusselt number

hf

heat transfer coefficient

Chinese Library Classification

O241.81 O357.3 O357.4 

2010 Mathematics Subject Classification

76A05 76N20 76R10 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Institute for Advance Research in Mathematical Modelling and ComputationsCape Peninsula University of TechnologyBellvilleSouth Africa

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