TY - JOUR
T1 - Dissolution of a sloping solid surface by turbulent compositional convection
AU - McConnochie, Craig D.
AU - Kerr, Ross C.
N1 - Publisher Copyright:
© 2018 Cambridge University Press.
PY - 2018/7/10
Y1 - 2018/7/10
N2 - 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.
AB - 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.
KW - ice sheets
KW - solidification/melting
KW - turbulent convection
UR - http://www.scopus.com/inward/record.url?scp=85046650421&partnerID=8YFLogxK
U2 - 10.1017/jfm.2018.282
DO - 10.1017/jfm.2018.282
M3 - Article
SN - 0022-1120
VL - 846
SP - 563
EP - 577
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -