A Virial-based equation of state for detonation products
When describing the thermodynamic state of materials with the help of thermochemical codes,it is essential to use a proper equation of state.JCZ and VLW are two typical equation of states but either of them has some disadvantages.JCZ equation of state is derived without the introduction of any empirical constants,but its mathematical form is complicated and hard to calculate.In contrast,the mathematical form of VLW is simple and not difficult to calculate,but it introduces some empirical constants thus limits its application range.Combining the advantages of both JCZ and VLW equation of states,this paper established a so-called VLI equation of state which can accurately calculate the ith Virial coefficient on the basis of Virial theory.With this VLI equation of state,the effect of temperature on the 2nd-9th Virial coefficients were investigated,and after the verification of the VLI coefficients is performed,the Hugoniot and isotherm of nitrogen were calculated.The VLI equation of state can accurately calculate the Hugoniot of nitrogen if the decomposition of nitrogen is considered.In contrast,the VLI equation of state can reproduce the isotherm of nitrogen no matter whether the decomposition of nitrogen is considered.The experimental data of Hugoniot and isotherm of nitrogen were used to validate the VLI equation of state.As a comparison,the Hugoniot and isotherm of nitrogen were also calculated by both the JCZ and VLW equation of states.The VLI equation of state were also validated by detonation velocities of several explosives and can be used to predict the detonation performance of explosives.
VLI equation of stateVirial coefficientsHugoniot curveisothermnitrogen