Influence of the elastic behaviour of liquids on transient flow from pressurised containments |
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| Institution: | 1. Universidade de Franca – UNIFRAN, CP 82, Franca, SP 14404-600, Brazil;2. Centre d’Elaboration de Matériaux et d’Etudes Structurales, Université de Toulouse-UPS, 29 rue Jeanne Marvig, B.P. 4347, 31055 Toulouse CEDEX 4, France;1. CEFT, Departamento de Engenharia Química, Faculdade de Engenharia da Universidade do Porto, Rua Dr. Roberto Frias, S/n, 4200-465 Porto, Portugal;2. TU Delft, Department of Biotechnology, Office 1.841, Julianalaan 67, 2628 BC Delft, The Netherlands;1. Departamento de Engenharia Química, Escola Politécnica, Universidade Federal da Bahia, 40210-630 Salvador, Brazil;2. Universidad de Barcelona, Ciudad, Dept. de Ingineria Química, Marti y Franques, 108028 Barcelona, Spain;3. Escola Tècnica Superior d''Enginyeria Química, Universitat Rovira i Virgili, Campus Sescelades, Avda. Països Catalans, 26, 43007 Tarragona, Spain;4. Institut Charles Gerhardt, UMR 5253CNRS/ENSCM/UM2/UM1, Matériaux Avancés pour la Catalyse et la Santé (MACS), Ecole Nationale Supérieure de Chimie, 8 rue de l’Ecole Normale, 34296 Montpellier Cedex 5, France;1. CNRS, Centre de Recherche Paul Pascal (CRPP), UPR 8641, F-33600 Pessac, France;2. Université de Bordeaux, Centre de Recherche Paul Pascal, F-33600 Pessac, France;1. School of Chemical and Environmental Engineering, Shanghai Institute of Technology, Shanghai, 201418, China;2. College of Urban Construction and Safety Engineering, Shanghai Institute of Technology, Shanghai, 201418, China |
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| Abstract: | Release of liquids from vessels and pipelines is a very important scenario in consequence assessment. When the operating pressure is significant, its evolution and the corresponding discharge rate are affected by the elastic behaviour of the liquid. Bulk modulus is the key-driver of the related fluid-dynamics and is expected to govern the elastic-to-atmospheric pressure transition. Despite the well known physical background, the availability of release models relevant to the elastic phase is rather poor, compared to those relevant to vapours, gases and atmospheric liquids. On the other hand, if the operating pressure is high, release times and dynamics are expected to be strongly affected by the elastic behaviour and prediction of release time and flow rate is fundamental. This article carries outs a general analysis of the elastic behaviour of liquids, including water and hydrocarbons. Lumped (vessel-type) and distributed (pipeline) parameters systems have been modelled with the aim to characterize the pressure evolution during the elastic phase and to evaluate the significance of the associated duration. The findings have shown that, depending on pressure and geometric features, the importance of the elastic phase is high and that the availability of reliable and relatively simple models could be beneficial in consequence assessment. The approach is strictly valid for non-boiling liquid, but accounting for vaporisation of flashing or boiling liquids such as LPG and LNG would not imply significant complications. |
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| Keywords: | Bulk modulus Elastic phase Liquid release Decompression wave Non-boiling liquids |
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