A new categorization of release models using a semi-analytic solution |
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| Institution: | 1. Department of Energy Plant Safety, Korea Institute of Machinery & Materials, 156, Gajungbukno, Yusong, Daejeon 305-343, South Korea;2. Department of Plant Machinery, Korea University of Science and Technology, Daejeon 305-350, South Korea;1. School of Automation, Huazhong University of Science and Technology, Wuhan 430074, China;2. Key Laboratory of Image Processing and Intelligent Control of Education Ministry of China, Wuhan 430074, China;3. College of Computer Science and Technology, Wuhan University of Science and Technology, Wuhan 430081, China;4. Hubei Province Key Laboratory of Intelligent Information Processing and Real-time Industrial System, Wuhan 430081, China;1. LUNAM Université, Université d''Angers, LARIS EA 7315, Institut Universitaire de Technologie, 4 boulevard Lavoisier, BP 42018, Angers Cedex, France;2. AGROCAMPUS OUEST, UMR1349 IGEPP, LUNAM Université, 2 rue Le Nôtre, F-49045, Angers, France;1. Department of Electrical and Information Engineering of the Polytechnic of Bari, Bari, Italy;2. Department of Mathematics of the University of Bari, Bari, Italy;3. Department of Engineering and Architecture of the University of Trieste, Trieste, Italy |
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| Abstract: | The spread of cryogenic liquid due to a limited period of release is investigated for the first time to clarify the unclear conventional concept regarding two release types: continuous and instantaneous release. The physical phenomenon is described by equations involving the volume, radius and height of the liquid pool, and there are three governing parameters: the evaporation rate per unit area, a release time, and a spill volume. As a result of the perturbation solutions, the combined model, which consists of the continuous model and the subsequent instantaneous model, is necessary for a large spill source rate, whereas the continuous model is only required for a small spill source rate. This combined release model is more realistic than the instantaneous release model, and it is shown that the combined model and the continuous model are clearly distinguished in the coordinate system of the release time and the spill volume using the analytical feature of the perturbation solution. |
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| Keywords: | Cryogenic liquid Limited period Combined release Release model |
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