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PISTON EFFECT CHARACTERISTIC TIME DEPENDENCE ON EQUATION OF STATE MODEL CHOICE

P. C. Teixeira
Dept. of Mechanical Engr. and Material Sci., Military Institute of Engr., Rio de Janeiro, Brazil

Leonardo Alves
Departamento de Engenharia Mecânica - TEM Universidade Federal Fluminense - UFF

Аннотация

The present paper proposes a novel equation of state based on the compressibility factor definition that is as simple as the van der Waals equation of state but more accurate for arbitrary fluids near the thermodynamic critical point. A reference simulation, that utilizes a polynomial correlation as equation of state based on empirical data from NIST, is used here as the base for comparisons. All three equations of state are compared through the classical Piston Effect problem describing the heat transfer inside a one-dimensional cavity filled with CO2 at its critical pressure. The novel formula leads to accurate results with less than 5% relative error for temperatures as close as 1K from the critical one, whereas the threshold is approximately 10K for the van der Waals equation of state.

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