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A new Lagrangian stochastic model for the gravity-slumping/spreading motion of a dense gas
Institution:1. Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin, 150090, China;2. Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters of the Ministry of Industry and Information Technology, Harbin Institute of Technology, Harbin, 150090, China;1. Ralph E. Martin Department of Chemical Engineering, University of Arkansas, Fayetteville, AR, USA;2. Department of Homeland Security, Science & Technology, Chemical Security Analysis Center, Aberdeen Proving Ground, MD, USA;1. Federal University of Southern Border, Environmental Engineering, Rua General Osório, 413D, Caixa Postal 181, CEP: 89802210, Chapecó, Santa Catarina, Brazil;2. Instituto Federal Sul-Rio-Grandense, Praça XX de Setembro 455, CEP: 96020170, Pelotas, RS, Brazil;3. Federal University of Pampa, Avenida Tiaraju, 810, CEP: 97546550, Alegrete, RS, Brazil;4. Federal University of Espírito Santo, Environmental Engineering, Av. Fenrando Ferrari, 514, CEP: 29075910, Vitória, ES, Brazil
Abstract:A new dispersion model for dense gas which is released into the atmosphere on the flat terrain is constructed within the Lagrangian framework. Using the hydrostatic assumption for pressure distribution within cloud due to density variation, slumping motion is successfully incorporated into the Lagrangian model with entrainment effect naturally considered. Turbulence suppression due to stable stratification within cloud is also taken into consideration in the model formulation. Various results including time variant and maximum concentration predictions by the proposed model are compared with the available measured data in the experiment conducted in Thorney Island in 1984 with good agreement.
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