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Ice front shaping by upward convective current

Ziqi Wang1, Linfeng Jiang1, Yihong Du1, Chao Sun1,2,*, and Enrico Calzavarini3,†

  • 1Center for Combustion Energy, Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Energy and Power Engineering, Tsinghua University, Beijing 100084, China
  • 2Department of Engineering Mechanics, School of Aerospace Engineering, Tsinghua University, Beijing 100084, China
  • 3Université de Lille, Unité de Mécanique de Lille - J. Boussinesq - UML - ULR 7512, F-59000 Lille, France

  • *chaosun@tsinghua.edu.cn
  • †enrico.calzavarini@univ-lille.fr

Phys. Rev. Fluids 6, L091501 – Published 14 September, 2021

DOI: https://doi.org/10.1103/PhysRevFluids.6.L091501

Abstract

The extent and the morphology of ice forming in a differentially heated cavity filled with water are studied by means of experiments and numerical simulations. We show that the main mechanism responsible for the ice shaping is the existence of a cold upward convective current in the system. Such a current is ascribed to the peculiar equation of state of water, i.e., the nonmonotonous dependence of density with temperature. The precise form of the ice front depends on several factors, first, the temperature difference across the cell which drives the convection, and second, the wall inclination with respect to the vertical, both of which are explored here. We propose a boundary-layer model and a buoyancy-intensity model which account for the main features of the ice morphology.

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