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


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 


u, v



stream function

x, y



dimensionless temperature


nanofluid thermal conductivity


nanofluid dynamic viscosity


Prandtl number


nanofluid thermal diffusivity


local Biot number


similarity variable


free stream temperature


nanofluid density


dimensionless stream function


solid fraction density


plate uniform velocity


base fluid kinematic viscosity




base fluid dynamic viscosity


solid fraction thermal conductivity


solid volume fraction parameter


local Reynolds number


specific heat at constant pressure


Brinkmann number


hot fluid temperature


skin friction coefficient


local Nusselt number


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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