Numerical solutions of mixed convection boundary layer flow near the lower stagnation point of a horizontal circular cylinder in a nanofluid

Leony Tham, Roslinda Mohd. Nazar, Ioan Pop

Research output: Contribution to journalArticle

Abstract

In this paper, the problem of steady mixed convection boundary layer flow in a nanofluid near the lower stagnation point of a horizontal circular cylinder in a stream flowing vertically upwards has been studied for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. Three different types of nanoparticles considered are Cu, Al2O3 and TiO2 by using water-based fluid. Numerical solutions are obtained for the skin friction coefficient and heat transfer coefficient as well as the velocity and temperature profiles with various values of the parameters, namely, the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl number Pr = 6.2.

Original languageEnglish
Pages (from-to)97-118
Number of pages22
JournalFar East Journal of Mathematical Sciences
Volume73
Issue number1
Publication statusPublished - Feb 2013

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Nanofluid
Stagnation Point
Mixed Convection
Boundary Layer Flow
Circular Cylinder
Nanoparticles
Horizontal
Numerical Solution
Skin Friction
TiO2
Heat Transfer Coefficient
Temperature Profile
Prandtl number
Friction Coefficient
Velocity Profile
Nonlinear Partial Differential Equations
Finite Difference Scheme
Volume Fraction
Water
Fluid

Keywords

  • Boundary layer
  • Horizontal circular cylinder
  • Lower stagnation point
  • Mixed convection
  • Nanofluid
  • Numerical solution

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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AB - In this paper, the problem of steady mixed convection boundary layer flow in a nanofluid near the lower stagnation point of a horizontal circular cylinder in a stream flowing vertically upwards has been studied for both cases of a heated and cooled cylinder. The resulting system of nonlinear partial differential equations is solved numerically using an implicit finite-difference scheme known as the Keller-box method. Three different types of nanoparticles considered are Cu, Al2O3 and TiO2 by using water-based fluid. Numerical solutions are obtained for the skin friction coefficient and heat transfer coefficient as well as the velocity and temperature profiles with various values of the parameters, namely, the nanoparticle volume fraction φ and the mixed convection parameter λ at Prandtl number Pr = 6.2.

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