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Theoretical analysis on flame dimension in turbulent ceiling fires
Affiliation:1. Department of Architecture, Waseda University, Okubo 3-4-1, Shinjuku-ku, Tokyo 169-8555, Japan;2. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, Anhui 230026, PR China;1. School of Resource and Environmental Engineering, Wuhan University of Science and Technology, Wuhan, Hubei 430081, China;2. Faculty of Engineering, China University of Geoscience (Wuhan), Wuhan, Hubei 430074, China;3. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, Anhui 230026, China;1. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230027, PR China;2. LHD, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, PR China;3. Department of Civil and Architectural Engineering, City University of Hong Kong, Hong Kong 999077, PR China;1. State Key Lab. of Fire Science, University of Science & Technology of China, Hefei, 230026, PR China;2. School of Chemical Machinery and Safety Engineering, Dalian University of Technology, Dalian, 116024, China;1. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, Anhui 230026, China;2. FireSERT, School of Built Environment and Built Environment Research Institute, University of Ulster, Newtownabbey, BT38 8GQ Northern Ireland, United Kingdom;1. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei, Anhui 230026, China;2. Beijing Research Center of Urban System Engineering, Beijing, China;1. State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, Anhui, China;2. Institute of Advanced Technology, University of Science and Technology of China, Hefei 230088, Anhui, China
Abstract:In this paper, theoretical analysis based on boundary layer theory on flame dimension in turbulent ceiling fires is carried out. The turbulent ceiling fire is developed from a downward round injection source beneath an unconfined inert ceiling. A correlation between the dimensionless flame diameter and the dimensionless heat release rate is obtained, C1(S/d)  C2Q13/4. This relation for turbulent ceiling fires is correlated to experimentally measured flame diameters for ceiling fires. Based on the limited data available, the agreement with experiments is very good. Additional experiments are needed to further verify the validity of this relation.
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