Heat transport through rough channels

J.s Andrade, E.A.a Henrique, M.p Almeida and M.H.A.s Costa

Physica A: Statistical Mechanics and its Applications, 2004, vol. 339, issue 3, 296-310

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.

Keywords: Graetz problem; Fractals; Heat transport; Rough channels (search for similar items in EconPapers)
Date: 2004
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437104003310
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:339:y:2004:i:3:p:296-310

DOI: 10.1016/j.physa.2004.03.066

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().