Falkner-Skan problem for a static and moving wedge with prescribed surface heat flux in a nanofluid

Nor Azizah Yacob, Anuar Mohd Ishak, Roslinda Mohd. Nazar, Ioan Pop

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65 Citations (Scopus)

Abstract

An analysis is carried out to study the problem of the steady flow and heat transfer over a static or moving wedge with a prescribed surface heat flux in a nanofluid. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations using similarity transformation, before being solved numerically by the Keller box method and the Runge-Kutta-Fehlberg method with shooting technique. The features of the flow and heat transfer characteristics are analyzed and discussed. Three different types of nanoparticles are considered, namely copper Cu, alumina Al2O3 and titania TiO2 with water as the base fluid. It is found that the skin friction coefficient and the heat transfer rate at the surface are highest for copper-water nanofluid compared to the alumina-water and titania-water nanofluids. Moreover, the heat transfer rate at the surface increases with the Falkner-Skan power law parameter m.

Original languageEnglish
Pages (from-to)149-153
Number of pages5
JournalInternational Communications in Heat and Mass Transfer
Volume38
Issue number2
DOIs
Publication statusPublished - Feb 2011

Fingerprint

wedges
Heat flux
heat flux
heat transfer
Heat transfer
Water
Aluminum Oxide
water
Copper
Alumina
aluminum oxides
titanium
Titanium
copper
Runge-Kutta method
skin friction
Runge Kutta methods
Skin friction
steady flow
Steady flow

Keywords

  • Boundary layer
  • Heat transfer
  • Nanofluid
  • Similarity solution
  • Wedge

ASJC Scopus subject areas

  • Chemical Engineering(all)
  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics

Cite this

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abstract = "An analysis is carried out to study the problem of the steady flow and heat transfer over a static or moving wedge with a prescribed surface heat flux in a nanofluid. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations using similarity transformation, before being solved numerically by the Keller box method and the Runge-Kutta-Fehlberg method with shooting technique. The features of the flow and heat transfer characteristics are analyzed and discussed. Three different types of nanoparticles are considered, namely copper Cu, alumina Al2O3 and titania TiO2 with water as the base fluid. It is found that the skin friction coefficient and the heat transfer rate at the surface are highest for copper-water nanofluid compared to the alumina-water and titania-water nanofluids. Moreover, the heat transfer rate at the surface increases with the Falkner-Skan power law parameter m.",
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AU - Yacob, Nor Azizah

AU - Mohd Ishak, Anuar

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

PY - 2011/2

Y1 - 2011/2

N2 - An analysis is carried out to study the problem of the steady flow and heat transfer over a static or moving wedge with a prescribed surface heat flux in a nanofluid. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations using similarity transformation, before being solved numerically by the Keller box method and the Runge-Kutta-Fehlberg method with shooting technique. The features of the flow and heat transfer characteristics are analyzed and discussed. Three different types of nanoparticles are considered, namely copper Cu, alumina Al2O3 and titania TiO2 with water as the base fluid. It is found that the skin friction coefficient and the heat transfer rate at the surface are highest for copper-water nanofluid compared to the alumina-water and titania-water nanofluids. Moreover, the heat transfer rate at the surface increases with the Falkner-Skan power law parameter m.

AB - An analysis is carried out to study the problem of the steady flow and heat transfer over a static or moving wedge with a prescribed surface heat flux in a nanofluid. The governing partial differential equations are transformed into a set of nonlinear ordinary differential equations using similarity transformation, before being solved numerically by the Keller box method and the Runge-Kutta-Fehlberg method with shooting technique. The features of the flow and heat transfer characteristics are analyzed and discussed. Three different types of nanoparticles are considered, namely copper Cu, alumina Al2O3 and titania TiO2 with water as the base fluid. It is found that the skin friction coefficient and the heat transfer rate at the surface are highest for copper-water nanofluid compared to the alumina-water and titania-water nanofluids. Moreover, the heat transfer rate at the surface increases with the Falkner-Skan power law parameter m.

KW - Boundary layer

KW - Heat transfer

KW - Nanofluid

KW - Similarity solution

KW - Wedge

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