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Stability of natural convection of power-law fluid and non-Darcy flow in porous media

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Abstract

In the present work the effect of the power law exponent of power-law fluid and non-Darcy number of non-Darcy flow on stability of natural convection in porous media are studied. The computation analysis of effect of power-law exponent of power-law fluid and non-Darcy number of non-Darcy flow in the rectangular duct on the transition Rayleigh number Ra*, which means the convective model transiting from stationary state to periodic solution. The duct has filled a porous medium saturated with the power-law non-Newtonian fluid or Newtonian fluid for non-Darcy flow, in which there is uniform internal heat generation per unit volume q. In this paper the relationship between the transition Rayleigh number Ra* and the power-law exponent n, Ra* and non-Darcy number Be, are shown. To these two aspects, the transition route from steady to chaotic convection is also obtained.

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Authors and Affiliations

  1. Univ. of Science and Technology of China, 230026, Hefei, Anhui, China

    Kong Xiangyan, Chen Guoquan, Wu Jianbing, Li Peichao, Lu Detang & Xu Xianzhi

Authors
  1. Kong Xiangyan
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  2. Chen Guoquan
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  3. Wu Jianbing
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  4. Li Peichao
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  5. Lu Detang
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  6. Xu Xianzhi
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Project 19772053 supported by NNSF

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Kong, X., Chen, G., Wu, J. et al. Stability of natural convection of power-law fluid and non-Darcy flow in porous media. J. of Therm. Sci. 10, 74–78 (2001). https://doi.org/10.1007/s11630-001-0013-x

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  • DOI: https://doi.org/10.1007/s11630-001-0013-x

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