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Free convection boundary-layer flow above a nearly horizontal surface in a porous medium with newtonian heating

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Abstract.

In this paper the steady free convection boundary-layer along a semi-infinite, slightly inclined (both positive and negative) to the horizontal plate embedded in a porous medium with the flow generated by Newtonian heating has been investigated. The asymptotic solution near the leading edge and the full numerical solution along the whole plate domain have been obtained numerically, whilst the asymptotic solution far downstream along the plate has been obtained analytically. For a positive inclination the full numerical solution is in agreement with the asymptotic solutions. However, for a negatively inclined plate, only the small asymptotic solution near the leading edge of the plate can be predicted giving an insight that the model for a negatively inclined plate, whilst mathematically interesting, is not physically realistic.

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Acknowledgements.

I. Pop gratefully acknowledges the support of this work by Alexander von Humboldt fellowship while he visited the Brandenburg Technical University of Cottbus, Germany. He also wishes to thank Prof. Dr. -Ing. Cristoph Egbers, Head of the Department of Aerodynamics and Fluid Mechanics of this University, for his kind hospitality. Both D.B.Ingham and I.Pop would like to thank the UK Royal Society for supporting some of this research.

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Authors and Affiliations

  1. Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, UK

    D. Lesnic, D. B. Ingham & C. Storr

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

    I. Pop

Authors
  1. D. Lesnic
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  2. D. B. Ingham
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  3. I. Pop
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  4. C. Storr
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Correspondence to I. Pop.

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Lesnic, D., Ingham, D.B., Pop, I. et al. Free convection boundary-layer flow above a nearly horizontal surface in a porous medium with newtonian heating. Heat and Mass Transfer 40, 665–672 (2004). https://doi.org/10.1007/s00231-003-0435-y

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  • DOI: https://doi.org/10.1007/s00231-003-0435-y

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