Abstract

The behavior of liquids undergoing phase transition in the gravitational field is studied by considering the generalized Van der Waals equation. Considering the two simple models for liquid-vapor boundary of a pure classical fluid, the generalized Van der Waals equation shows how the three critical parameters (critical temperature, critical volume and critical pressure), suffice to describe the reduced state parameters (reduced temperature, reduced volume and reduced pressure), the concentration profile and the liquid-vapor boundary position, which can be used to observe transition phenomenon. This model shows how the form of the equation can influence the vertical phase separation induced by the stationary gravitational field, and on the gas condensation effects.

Highlights

  • In recent years, many pieces of research have been made in order to investigate the effect of uniform and non-uniform gravitational fields on the perfect gas [1] [2]

  • The organization of the paper is as follows: In Section 2, we present a brief description of the simple model that is the perfect gas and the incompressible liquid for simulation of the effect of the constant gravitational field on the pure gas system

  • Phase Transition Observation in Terms of Reduced Pressure From Equation (18) the obtained reduced pressure as a function of reduced temperature is numerically investigated in order to show how the generalized form of the Van der Waals equation can be used to easy control phase transition

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Summary

Introduction

Many pieces of research have been made in order to investigate the effect of uniform and non-uniform gravitational fields on the perfect gas [1] [2]. The influence of the constant gravitational field on the liquid-vapor equilibrium for a pure substance has been investigated and pictured as, where the parameters of the cell that will be used in the calculations are defined This pictured shows implicitly the effect of the existing constant gravitational field it is like on earth and how the denser liquid phase becomes located in the lower part of the container [10] [11]. It has been found in Ref [10] that the absence of gravity assuming thermal equilibrium, and the liquid assumes a spherical shape by minimizing the surface energy surrounded by the vapor. We considered respectively a vapor-liquid as the substance in a small container and in the tall container, in order to put out in our investigation, the influence of environment

Environment as Small Container
Environment as a Tall Container
Generalized Van der Waals Equation
Numerical Results and Discussions
Conclusions
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