Estimation of Initial State Dependence of Detonation Velocity Using Unified Form of EOS for PETN

Abstract

The relationship between the initial temperature dependence of the detonation velocity and the initial density is examined using a proposed unified form of the EOS for pentaerythritol tetranitrate (PETN). First, the derivatives of the variables at Chapman-Jouguet (C-J) points are calculated. These derivatives are used to investigate the initial state dependence of the detonation velocity using the relationship between the detonation velocity and the initial state variables. As a result, the contributions of the coefficient of thermal expansion and the increment of the initial internal energy to the detonation velocity are clarified. We found that the initial temperature derivative of the detonation velocity can be estimated from the initial density derivative of the detonation velocity.