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Heat transport through rough channels

Author

Listed:
  • Andrade, J.S
  • Henrique, E.A.A
  • Almeida, M.P
  • Costa, M.H.A.S

Abstract

We investigate the two-dimensional transport of heat through viscous flow between two parallel rough interfaces with a given fractal geometry. The flow and heat transport equations are solved through direct numerical simulations, and for different conduction–convection conditions. Compared with the behavior of a channel with smooth interfaces, the results for the rough channel at low and moderate values of the Péclet number indicate that the effect of roughness is almost negligible on the efficiency of the heat transport system. This is explained here in terms of Makarov's theorem, using the notion of active zone in Laplacian transport. At sufficiently high Péclet numbers, where convection becomes the dominant mechanism of heat transport, the role of the interface roughness is to generally increase both the heat flux across the wall as well as the active length of heat exchange, when compared with the smooth channel. Finally, we show that this last behavior is closely related with the presence of recirculation zones in the re-entrant regions of the fractal geometry.

Suggested Citation

  • Andrade, J.S & Henrique, E.A.A & Almeida, M.P & Costa, M.H.A.S, 2004. "Heat transport through rough channels," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 339(3), pages 296-310.
    • Handle: RePEc:eee:phsmap:v:339:y:2004:i:3:p:296-310
    DOI: 10.1016/j.physa.2004.03.066
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    Cited by:

    1. Heikki Karvinen & Afshin Hasani Aleni & Pauli Salminen & Tatiana Minav & Pedro Vilaça, 2019. "Thermal Efficiency and Material Properties of Friction Stir Channelling Applied to Aluminium Alloy AA5083," Energies, MDPI, vol. 12(8), pages 1-16, April.

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