Combined equation of state for liquids and gases, which includes the classical and scaling parts

Bezverkhii, P. P.; Martynets, V. G.; Matizen, É. V.

doi:10.1134/s0018151x10040048

Cited by 6 publications

(2 citation statements)

References 15 publications

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“…(9), another convergent series is used, namely, For the second derivative of p scal (Eq. (3)) near the critical isochore, the exact expression is used (10) The integral in Eq. (10) at Т > T c is also replaced by its representation as a series (see [20]), which has a dif ferent form at Т < T c and |Δρ| ≥ |Δρ bin |, that is, ) , …”

Section: Calculation Of Heat Capacity с Vmentioning

confidence: 99%

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Description of heat capacity C v of simple liquids using a thermal equation of state including regular and scaling parts

2015

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The p,ρ,T data for CO 2 are approximated in the ranges of 0 < ρ/ρ c <2, 217 < T < 430 K, and 0 < p ≤ 25 MPa and for SF 6 in the ranges of 0 < ρ/ρ c < 2.5, 225 < T < 340 K, and 0 < p ≤ 10 MPa using a new unified equation of state. In this equation, pressure p is an explicit function of ρ and T. It includes a new reg ular part to approximate p,ρ,T data in the liquid and gaseous regions of state outside the critical region, a sin gular part that is a scaling equation of state for the critical region, and a crossover function for combining these equations. The regular part consists of the sum of eight terms with eight constants, three of which are deter mined by the conditions at the critical point. The total number of system dependent constants is fourteen, including the critical values of p, ρ, and T. In the scaling part of the equation of state, the critical exponents of the three dimensional Ising model are used. The mean square error of the description by pressure of the p,ρ,T data for CO 2 is ±0.63%, and for the p,ρ,T data obtained for SF 6 , it is ±0.70% over the entire range of gas and liquid states. Using the constants of the combined equation, heat capacity C v is calculated at isoch ores, isotherms, and a binodal, including those in the critical region. The calculation results describes the known experimental data of C v with an error of ±8%.

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Section: Calculation Of Heat Capacity с Vmentioning

confidence: 99%

“…In recent publications [9][10][11], to describe ade quately the properties of single component fluids near the critical points and in the region of their regular behavior, a combined equation of state is suggested, which helps to solve the problem. The main difficulty here is the optimal choice of the regular equation of state.…”

Section: Introductionmentioning

confidence: 99%