TY - JOUR
T1 - Dissolution of a vertical solid surface by turbulent compositional convection
AU - Kerr, Ross C.
AU - McConnochie, Craig D.
N1 - Publisher Copyright:
© 2015 Cambridge University Press.
PY - 2015/2/25
Y1 - 2015/2/25
N2 - We examine the dissolution of a vertical solid surface in the case where the heat and mass transfer is driven by turbulent compositional convection. A theoretical model of the turbulent dissolution of a vertical wall is developed, which builds on the scaling analysis presented by Kerr (J. Fluid Mech., vol. 280, 1994, pp. 287-302) for the turbulent dissolution of a horizontal floor or roof. The model has no free parameters and no dependence on height. The analysis is tested by comparing it with laboratory measurements of the ablation of a vertical ice wall in contact with salty water. The model is found to accurately predict the dissolution velocity for water temperatures up to approximately 5-6°C, where there is a transition from turbulent dissolution to turbulent melting. We quantify the turbulent convective dissolution of vertical ice bodies in the polar oceans, and compare our results with some field observations.
AB - We examine the dissolution of a vertical solid surface in the case where the heat and mass transfer is driven by turbulent compositional convection. A theoretical model of the turbulent dissolution of a vertical wall is developed, which builds on the scaling analysis presented by Kerr (J. Fluid Mech., vol. 280, 1994, pp. 287-302) for the turbulent dissolution of a horizontal floor or roof. The model has no free parameters and no dependence on height. The analysis is tested by comparing it with laboratory measurements of the ablation of a vertical ice wall in contact with salty water. The model is found to accurately predict the dissolution velocity for water temperatures up to approximately 5-6°C, where there is a transition from turbulent dissolution to turbulent melting. We quantify the turbulent convective dissolution of vertical ice bodies in the polar oceans, and compare our results with some field observations.
KW - phase change
KW - solidification/melting
KW - turbulent convection
UR - http://www.scopus.com/inward/record.url?scp=84950139432&partnerID=8YFLogxK
U2 - 10.1017/jfm.2014.722
DO - 10.1017/jfm.2014.722
M3 - Article
SN - 0022-1120
VL - 765
SP - 211
EP - 228
JO - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
ER -