Detonation Products EOS by Specifying Gamma (V) for the Principal Isentrope

Abstract

The standard way of defining an equation of state (EOS) for detonation products is (1) choose a function Ps(V) for the pressure along the principal isentrope, with enough adjustable parameters; (2) integrate it to obtain the internal energy Es(V); (3) determine the parameters from available data (Chapman Jouget (CJ) state and cylinder expansion test); (4) refer a Gruneisen EOS to this principal isentrope. Using this approach, (1) most of the adjustable parameters have no physical meaning; (2) they are determined simultaneously; and (3) changing one of them requires changing the others. Instead, we define the principal isentrope by choosing a function for the adiabatic gamma γs(V). We show that this has the following advantages over the standard approach: (1) the parameters have physical meaning; (2) they can be determined by a recursive process; (3) the influence of changes in the parameters to cylinder expansion results is obvious.