Melting and dissolving of a vertical solid surface with laminar compositional convection

We consider laminar compositional convection of buoyant melt released by ablation of a vertical solid surface into a two-component fluid. Asymptotic solutions are used to describe separate cases: the ablation rate is either controlled by thermal transport, corresponding to melting, or by solutal tra...

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Bibliographic Details
Published inJournal of fluid mechanics Vol. 687; pp. 118 - 140
Main Authors Wells, Andrew J., Worster, M. Grae
Format Journal Article
LanguageEnglish
Published Cambridge, UK Cambridge University Press 25.11.2011
Subjects
Buoyancy
Earth, ocean, space
Exact sciences and technology
External geophysics
Laminates
Melting
Snow. Ice. Glaciers
Solid modeling
boundary layer structure
buoyant boundary layers
solidification/melting
convection
Thermal diffusion
Binary mixture
Liquid solid interface
Phase change
dissolution
sea ice
melting
heat transfer
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Summary:We consider laminar compositional convection of buoyant melt released by ablation of a vertical solid surface into a two-component fluid. Asymptotic solutions are used to describe separate cases: the ablation rate is either controlled by thermal transport, corresponding to melting, or by solutal transport, corresponding to dissolution. Melting is faster and generates a stronger flow than dissolving. We determine the temperature and solute concentration conditions leading to either melting or dissolving and find that these conditions do not vary with the strength of the buoyancy that drives convective flow.
ISSN:0022-1120
1469-7645
DOI:10.1017/jfm.2011.322