Simple approach to approximate predictions of the vapor-liquid equilibrium curve near the critical point and its application to Lennard-Jones fluids. (English) Zbl 1260.80006
Summary: We propose a simple analytical form of the vapor-liquid equilibrium curve near the critical point for Lennard-Jones fluids. Coexistence densities curves and vapor pressure have been determined using the Van der Waals and Dieterici equation of state. In described method the Bernoulli differential equations, critical exponent theory and some type of Maxwell’s criterion have been used. Presented approach has not yet been used to determine analytical form of phase curves as done in this Letter. Lennard-Jones fluids have been considered for analysis. Comparison with experimental data is done. The accuracy of the method is described.
MSC:
80A22 | Stefan problems, phase changes, etc. |
34A34 | Nonlinear ordinary differential equations and systems |
35B33 | Critical exponents in context of PDEs |
Keywords:
vapor-liquid equilibrium curve; equation of state; critical exponent; Bernoulli differential equations; Lennard-Jones fluidsReferences:
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