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The Noble-Abel (NA) equation of state (EOS) is widely used in interiorballistics of guns as well as rocket propulsion computations. Its simplicityand accuracy are key points for intensive computations with hyperbolictwo-phase flow models considered in interior ballistics codes. An alternativeis examined in the present contribution through a first-order virial (VO1)equation of state. Appropriate methods for the determination of relatedparameters, such as specific gas constant, covolume and condensed materialenergy for both formulations (NA and VO1) are presented. Combination of closedbomb vessel experiments and thermochemical code computations are needed. Anextended VO1 EOS with temperature dependent specific heat is examined. Thenextension to multiple reactive materials is addressed. Examples are examinedfor each formulation (NA and VO1) and comparisons are done with theBecker-Kistiakowsky-Wilson (BKW) EOS as reference. Several conclusions emerged.First, consideration of specific heat temperature dependance in interiorballistics of guns computations appeared insignificant. Second, VO1 appearedmore accurate than NA, particularly when gas density comes out of the rangeused for the EOS parameters determination. Last, regarding mixtures ofcondensed reactive materials, producing burnt gas mixtures, NA appeared againless accurate than VO1. However, its formulation is explicit, while VO1requires numerical solving of a non-linear equation, with consequences oncomputational cost.

Noble-Abel / First-order virial equations of state for gas mixtures resulting of multiple condensed reactive materials combustion