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Linear stability analysis of ice growth under supercooled water film driven by a laminar airflow

2011/03/31 by K. Ueno, Kazuto Ueno, M. Farzaneh · 38 citations
Earth and Planetary Sciences · Engineering · Materials Science · Physics and Astronomy · #Air water #Airflow #Arctic ice pack #Atmospheric sciences #Cryospheric studies and observations #Geometry #Growth rate #Icing and De-icing Technologies #Instability #Laminar flow #Mechanics #Meteorology #Physics #Sea ice #Sea ice growth processes #Sea ice thickness #Supercooling #Surface Modification and Superhydrophobicity #Thermodynamics #Wind speed #physics.flu-dyn

paper · pdf · doi:10.1063/1.3575605

published in Physics of Fluids 23(4) (American Institute of Physics) · 40 pages, 9 figures, 2 tables

openalex publication_date 2011/04/01 · arxiv created 2011/04/28 · arxiv updated 2015/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We propose a theoretical model for ice growth under a wind-driven supercooled water film. The thickness and surface velocity of the water layer are variable by changing the air stream velocity. For a given water supply rate, linear stability analysis is carried out to study the morphological instability of the ice-water interface. In this model, water and air boundary layers are simultaneously disturbed due to the change in ice shape, and the effect of the interaction between air and water flows on the growth condition of the ice-water interface disturbance is taken into account. It is shown that as the wind speed increases, the amplification rate of the disturbance is significantly affected by variable stresses exerted on the water-air interface by the air flow as well as restoring forces due to gravity and surface tension. We predict that an ice pattern of a centimeter-scale in wavelength appears and the wavelength decreases as the wind speed increases, and that the ice pattern moves in the direction opposite to the water flow. The effect of the air stress disturbance on the heat transfer coefficient at the water-air interface is also investigated for various wind speeds.

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