Similarity solutions for the mixed convection flow over a vertical plate with thermal radiation

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The steady laminar boundary layer flow adjacent to a vertical plate with prescribed surface temperature immersed in an incompressible viscous fluid, where the effect of thermal radiation was taken into consideration, was investigated. The governing partial differential equations were transformed into a system of ordinary differential equations using similarity transformation, before being solved numerically by the shooting method. Both assisting and opposing buoyant flows were considered. It is found that dual solutions exist for both cases. Moreover, numerical results show that the heat transfer rate at the surface decreases in the presence of the radiation effect.

Original languageEnglish
Pages (from-to)149-153
Number of pages5
JournalInternational Journal of Minerals, Metallurgy and Materials
Volume17
Issue number2
DOIs
Publication statusPublished - Apr 2010

Fingerprint

Mixed convection
Heat radiation
convection
Laminar boundary layer
Radiation effects
Boundary layer flow
Ordinary differential equations
Partial differential equations
heat transfer
surface temperature
boundary layer
Heat transfer
Fluids
fluid
Temperature
radiation
radiation effect
rate
effect
method

Keywords

  • Boundary layer
  • Heat transfer
  • Similarity solution
  • Thermal radiation

ASJC Scopus subject areas

  • Geochemistry and Petrology
  • Mechanical Engineering
  • Mechanics of Materials
  • Materials Chemistry
  • Metals and Alloys

Cite this

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AU - Yacob, Nor Azizah

AU - Mohd. Nazar, Roslinda

AU - Pop, Ioan

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AB - The steady laminar boundary layer flow adjacent to a vertical plate with prescribed surface temperature immersed in an incompressible viscous fluid, where the effect of thermal radiation was taken into consideration, was investigated. The governing partial differential equations were transformed into a system of ordinary differential equations using similarity transformation, before being solved numerically by the shooting method. Both assisting and opposing buoyant flows were considered. It is found that dual solutions exist for both cases. Moreover, numerical results show that the heat transfer rate at the surface decreases in the presence of the radiation effect.

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KW - Similarity solution

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