Rice-Walsh equation of state for detonation product gases

We have established a differential equation for the non-dimensional material parameter, the Wu-Jing parameter $R$ introduced into the Rice-Walsh type equation of state (EOS) for detonation product gases of condensed phase high-explosive. This analysis is based on the empirical linear relationship between detonation velocity and loading density together with the assumption that the Wu-Jing parameter is a function of pressure alone. We obtained the Wu-Jing parameter along C-J states of arbitrary initial loading density of high explosives. It is found that behavior of this parameter $R$ as a function of pressure is revealed to change very gradually with pressure. Calculated C-J states as a function of initial density, including parameters such as adiabatic index at each C-J states coincides with our previous similar calculation assuming the Gr\"{u}neisen type EOS. In conclusion, the Rice-Walsh EOS with the Wu-Jing parameter as a function of pressure as well as the Gr\"{u}neisen EOS with the Gr\"{u}neisen parameter as a function of volume are not compatible with each other, but both are compatible with detonation velocity data for various initial densities.