Heat transfer across a fractal surface

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dc.contributor.author Frank, Michael
dc.contributor.author Papanikolaou, Michail
dc.contributor.author Drikakis, Dimitris
dc.contributor.author Salonitis, Konstantinos
dc.date.accessioned 2019-10-18T10:45:05Z
dc.date.available 2019-10-18T10:45:05Z
dc.date.issued 2019-10-02
dc.identifier.citation Frank M, Papanikolaou M, Drikakis D, Salonitis K. (2019) Heat transfer across a fractal surface. Journal of Chemical Physics, Volume 151, October 2019, Article number 134705 en_UK
dc.identifier.issn 0021-9606
dc.identifier.uri https://doi.org/10.1063/1.5115585
dc.identifier.uri http://dspace.lib.cranfield.ac.uk/handle/1826/14621
dc.description.abstract The effects of surface irregularities and imperfections on the thermal resistance at a solid-liquid interface have been investigated using molecular dynamics. The molecular model comprises liquid argon confined between silver walls. The surface roughness was designed using fractal theory, introducing stochastic patterns of multiple scales that resemble realistic surface geometries. In agreement with most previous studies, we find that increasing the strength of the solid-liquid interactions monotonically reduces the thermal resistance across smooth interfaces. Yet, the behavior of the thermal resistance across rough surfaces is more complex. Following the initially anticipated decrease, the thermal resistance starts to increase once the strength of solid-liquid interaction increases past a threshold. We attribute the above behavior to two competing phenomena, namely, the area of the solid-liquid interface and the introduction of vibrational anharmonicities and localization of phonons resulting from the surface roughness. Finally, we demonstrate that, for the same fractal dimension and depth of surface roughness, different surfaces practically have the same thermal resistance, solid-liquid radial distribution function, and liquid density profiles. We conclude that the above fractal parameters are useful in deriving reduced models for properties related to the surface geometry. en_UK
dc.language.iso en en_UK
dc.publisher American Institute of Physics (AIP) en_UK
dc.rights Attribution-NonCommercial 4.0 International *
dc.rights.uri http://creativecommons.org/licenses/by-nc/4.0/ *
dc.subject Fractals en_UK
dc.title Heat transfer across a fractal surface en_UK
dc.type Article en_UK


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