Dissolution of a sloping solid surface by turbulent compositional convection

Craig D. McConnochie*, Ross C. Kerr

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    20 Citations (Scopus)

    Abstract

    We examine the dissolution of a sloping solid surface driven by turbulent compositional convection. The scaling analysis presented by Kerr & McConnochie (J. Fluid Mech., vol. 765, 2015, pp. 211-228) for the dissolution of a vertical wall is extended to the case of a sloping wall. The model has no free parameters and no dependence on height. It predicts that while the interfacial temperature and interfacial composition are independent of the slope, the dissolution velocity is proportional to cos2/3 θ, where θ is the angle of the sloping surface to the vertical. The analysis is tested by comparing it with laboratory measurements of the ablation of a sloping ice wall in contact with salty water. We apply the model to make predictions of the turbulent convective dissolution of a sloping ice shelf in the polar oceans.

    Original languageEnglish
    Pages (from-to)563-577
    Number of pages15
    JournalJournal of Fluid Mechanics
    Volume846
    DOIs
    Publication statusPublished - 10 Jul 2018

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