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Analysis of Energy Flux Vector on Natural Convection Heat Transfer in Porous Wavy-Wall Square Cavity with Partially-Heated Surface

Author

Listed:
  • Yan-Ting Lin

    (Institute of Nuclear Energy Research, Atomic Energy Council, Taoyuan 32546, Taiwan)

  • Ching-Chang Cho

    (Department of Vehicle Engineering, National Formosa University, No.64, Wunhua Rd., Huwei Township, Yunlin County 632, Taiwan)

Abstract

The study utilizes the energy-flux-vector method to analyze the heat transfer characteristics of natural convection in a wavy-wall porous square cavity with a partially-heated bottom surface. The effects of the modified Darcy number, modified Rayleigh number, modified Prandtl number, and length of the partially-heated bottom surface on the energy-flux-vector distribution and mean Nusselt number are examined. The results show that when a low modified Darcy number with any value of modified Rayleigh number is given, the recirculation regions are not formed in the energy-flux-vector distribution within the porous cavity. Therefore, a low mean Nusselt number is presented. The recirculation regions do still not form, and thus the mean Nusselt number has a low value when a low modified Darcy number with a high modified Rayleigh number is given. However, when the values of the modified Darcy number and modified Rayleigh number are high, the energy flux vectors generate recirculation regions, and thus a high mean Nusselt number is obtained. In addition, in a convection-dominated region, the mean Nusselt number increases with an increasing modified Prandtl number. Furthermore, as the length of the partially-heated bottom surface lengthens, a higher mean Nusselt number is presented.

Suggested Citation

  • Yan-Ting Lin & Ching-Chang Cho, 2019. "Analysis of Energy Flux Vector on Natural Convection Heat Transfer in Porous Wavy-Wall Square Cavity with Partially-Heated Surface," Energies, MDPI, vol. 12(23), pages 1-10, November.
    • Handle: RePEc:gam:jeners:v:12:y:2019:i:23:p:4456-:d:289927
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    Cited by:

    1. Teen-Hang Meen & Wenbing Zhao & Cheng-Fu Yang, 2020. "Special Issue on Selected Papers from IEEE ICKII 2019," Energies, MDPI, vol. 13(8), pages 1-5, April.

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