Premium
A Detonation Model of High/Low Velocity Detonation
Author(s) -
Hu Shaoming,
Li Chenfang,
Ma Yunhua,
Cui Junmin
Publication year - 2007
Publication title -
propellants, explosives, pyrotechnics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.56
H-Index - 65
eISSN - 1521-4087
pISSN - 0721-3115
DOI - 10.1002/prep.200700010
Subject(s) - detonation , principle of least action , action (physics) , ordinary differential equation , function (biology) , lagrangian , detonation velocity , differential equation , thermodynamic equilibrium , thermodynamics , equation of state , mathematics , mechanics , physics , classical mechanics , mathematical analysis , chemistry , explosive material , organic chemistry , quantum mechanics , evolutionary biology , biology
A new detonation model that can simulate both high and low velocity detonations is established using the least action principle. The least action principle is valid for mechanics and thermodynamics associated with a detonation process. Therefore, the least action principle is valid in detonation science. In this model, thermodynamic equilibrium state is taken as the known final point of the detonation process. Thermodynamic potentials are analogous to mechanical ones, and the Lagrangian function in the detonation process is L = T − V. Under certain assumptions, the variation calculus of the Lagrangian function gives two solutions: the first one is a constant temperature solution, and the second one is the solution of an ordinary differential equation. A special solution of the ordinary differential equation is given.