One-dimensional ice growth due to incoming supercooled droplets impacting on a thin conducting substrate |
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| Affiliation: | 1. Department of Aerospace Engineering, Iowa State University, 2271 Howe Hall, Room 1200, Ames, IA 50011, USA;2. Department of Mechanical Engineering, Colorado State University, Fort Collins, CO 80523, USA;1. Shanghai Key Lab of Vehicle Aerodynamics and Vehicle Thermal Management Systems, Shanghai 201804, China;2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China;1. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China;2. Key Laboratory for Thermal Science and Power Engineering of Ministry of Education, Department of Engineering Mechanics, Tsinghua University, Beijing 100084, China;1. Department for Management of Science and Technology Development, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;2. Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam;3. School of Transportation Engineering, Hanoi University of Science and Technology, 1 Dai Co Viet, Hai Ba Trung, Hanoi, Viet Nam |
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| Abstract: | A one-dimensional model for ice accretion due to incoming supercooled water impacting on a conducting substrate is developed, where the substrate is cooled from below by a liquid or gas. Both rime and glaze ice situations are considered. Non-dimensionalisation shows that conduction is the dominant method of heat transfer and so the heat equations are reduced to pseudo-steady forms. In this case the problem reduces to solving a single equation for the ice layer thickness. The water height and temperatures in the ice, water and substrate may subsequently be found. The asymptotic solution is validated by comparison with results from a numerical scheme which solves the full Stefan problem. This is an extension of a previously published solution method that involved simpler boundary conditions. For glaze ice, a comparison including water droplet energy either in the boundary conditions or as a source term in the heat equations, is also performed. |
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