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Applied Mathematics and Mechanics

, Volume 36, Issue 8, pp 1091–1104 | Cite as

Mixed convection boundary layer flow past vertical flat plate in nanofluid: case of prescribed wall heat flux

  • R. Trîmbiƫaş
  • T. Grosan
  • I. PopEmail author
Article

Abstract

An analysis is carried out to investigate the steady mixed convection boundary layer flow of a water based nanofluid past a vertical semi-infinite flat plate. Using an appropriate similarity transformation, the governing partial differential equations are transformed into the coupled, nonlinear ordinary (similar) differential equations, which are then solved numerically for the Prandtl number P r = 6.2. The skin friction coefficient, the local Nusselt number, and the velocity and temperature profiles are presented graphically and discussed. Effects of the solid volume fraction ϕ and the mixed convection parameter λ on the fluid flow and heat transfer characteristics are thoroughly examined. Different from an assisting flow, it is found that the solutions for an opposing flow are non-unique. In order to establish which solution branch is stable and physically realizable in practice, a stability analysis is performed.

Keywords

Nanofluid boundary layer mixed convection heat flux dual solution 

Chinese Library Classification

O373 

2010 Mathematics Subject Classification

76A05 

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Copyright information

© Shanghai University and Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania

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