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Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium

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Abstract

A boundary layer analysis was presented to study the non-Darcy-free convection of a power-law fluid over a non-isothermal two-dimensional body embedded in a porous medium. The Ostwald-de Waele power-law model was used to characterize the non-Newtonian fluid behavior. Similarity solutions were obtained with variations in surface temperature or surface heat flux. In view of the fact that most of the non-Newtonian fluids have large Prandtl numbers, this study was directed toward such fluids. The effects of the porous medium parameters, k 1 and k 2, body shape parameter, m, and surface thermal variations parameter, p, as well as the power-law index, n, were examined.

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Authors and Affiliations

  1. King Abdullah University of Science and Technology (KAUST), Thuwal, Kingdom of Saudi Arabia

    M. F. El-Amin & S. Sun

  2. Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia

    M. A. El-Ameen & Y. A. Jaha

  3. Department of Mechanical Engineering, Cleveland State University, Cleveland, OH, 44115, USA

    Rama Subba Reddy Gorla

  4. Department of Mathematics, Aswan Faculty of Science, South Valley University, Qena, Egypt

    M. F. El-Amin

Authors
  1. M. F. El-Amin
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  2. S. Sun
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  3. M. A. El-Ameen
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  4. Y. A. Jaha
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  5. Rama Subba Reddy Gorla
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Correspondence to Rama Subba Reddy Gorla.

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El-Amin, M.F., Sun, S., El-Ameen, M.A. et al. Non-Darcy Free Convection of Power-Law Fluids Over a Two-Dimensional Body Embedded in a Porous Medium. Transp Porous Med 86, 965–972 (2011). https://doi.org/10.1007/s11242-010-9667-8

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  • DOI: https://doi.org/10.1007/s11242-010-9667-8

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