A METHOD OF CONSTRUCTING WIDE-RANGE THERMODYNAMICALLY CONSISTENT EQUATIONS OF STATE BASED ON LOCAL EQUATIONS USING THE MIXTURE MODEL
L. F. Gudarenko, V. G. Kudelkin
VANT. Ser.: Mat. Mod. Fiz. Proc 2009. Вып.1. С. 44-54.
The paper describes a method of constructing thermodynamically consistent global equations of state (EOSes) based on merging local EOSes with the use of one of the mixture models. The merging area’s material is a mixture of two materials, which thermodynamic functions are calculated using EOSes valid for the neighboring areas. Thus, no reconstruction of the merged EOSes is required, the original EOSes are only supplemented with the algorithm and program for thermodynamic functions calculation in the transition area. Values of concentrations are selected basing on the requirement of smooth behavior of thermodynamic functions and their derivatives and with regard to physical conditions. The expression describing the mixture’s free energy is chosen for an original expression to obtain analytical expressions. To meet the requirement of thermodynamic consistency, expressions for pressure and energy are calculated with regard to concentration as a function of density and temperature. Keywords: wide-range equation of state, mixture model, thermodynamic functions, aluminum.
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