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Thermal convection over fractal surfaces

Abstract:

We use well resolved numerical simulations with the Lattice Boltzmann Method to study Rayleigh-B´enard convection in cells with a fractal boundary in two dimensions for P r = 1 and Ra ∈ [10^7 , 10^10]. The fractal boundaries are functions characterized by power spectral densities S(k) that decay with wavenumber, k, as S(k) ∼ k^p (p < 0). The degree of roughness is quantified by the exponent p with p < −3 for smooth (differentiable) surfaces and −3 ≤ p < −1 for rough surfaces with Hausdorff di...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/jfm.2020.826

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Institution:
University of Oxford
Division:
MPLS
Department:
Physics
Sub department:
Atmos Ocean & Planet Physics
Role:
Author
ORCID:
0000-0001-7929-6227
Publisher:
Cambridge University Press Publisher's website
Journal:
Journal of Fluid Mechanics Journal website
Volume:
907
Article number:
A12
Publication date:
2020-11-20
Acceptance date:
2020-09-07
DOI:
EISSN:
1469-7645
ISSN:
0022-1120
Language:
English
Keywords:
Pubs id:
1131205
Local pid:
pubs:1131205
Deposit date:
2020-09-09

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