Open AccessTime-dependent buoyant puff model for explosive sources
Author(s) -
E J Kansa
Publication year - 1997
Language(s) - English
Resource type - Reports
DOI - 10.2172/289269
Subject(s) - explosive material , mechanics , physics , ordinary differential equation , stability (learning theory) , atmosphere (unit) , turbulence , partial differential equation , classical mechanics , nonlinear system , differential equation , meteorology , mathematics , mathematical analysis , computer science , chemistry , organic chemistry , quantum mechanics , machine learning
Several models exist to predict the time dependent behavior of bouyant puffs that result from explosions. This paper presents a new model that is derived from the strong conservative form of the conservation partial differential equations that are integrated over space to yield a coupled system of time dependent nonlinear ordinary differential equations. This model permits the cloud to evolve from an intial spherical shape not an ellipsoidal shape. It ignores the Boussinesq approximation, and treats the turbulence that is generated by the puff itself and the ambient atmospheric tubulence as separate mechanisms in determining the puff history. The puff cloud rise history was found to depend no only on the mass and initial temperature of the explosion, but also upon the stability conditions of the ambient atmosphere. This model was calibrated by comparison with the Roller Coaster experiments