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

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600, UKM Bangi, Selangor, Malaysia

    Anuar Ishak & Roslinda Nazar

  2. Faculty of Computers and Mathematical Sciences, Universiti Teknologi MARA Pahang, Lintasan Semarak, 26400, Bandar Jengka, Pahang, Malaysia

    Nor Azizah Yacob

  3. Faculty of Mathematics, University of Cluj, R-3400, Cluj, CP 253, Romania

    Ioan Pop

Authors
  1. Anuar Ishak
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  2. Nor Azizah Yacob
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  3. Roslinda Nazar
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  4. Ioan Pop
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Correspondence to Anuar Ishak.

Additional information

This work was supported by a research grant from Universiti Kebangsaan Malaysia (No.UKM-GUP-BTT-07-25-174).

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Ishak, A., Yacob, N.A., Nazar, R. et al. Similarity solutions for the mixed convection flow over a vertical plate with thermal radiation. Int J Miner Metall Mater 17, 149–153 (2010). https://doi.org/10.1007/s12613-010-0205-z

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  • DOI: https://doi.org/10.1007/s12613-010-0205-z

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