V. Sofonea, 2-PHASE FLUID SUBJECTED TO TERRESTRIAL OR SPACE CONDITIONS - A LATTICE BOLTZMANN STUDY, International journal of modern physics C, 7(5), 1996, pp. 695-704
A lattice Boltzmann model for two-phase fluids is used to find the equ
ilibrium distribution of density and pressure across a vertical column
under the action of terrestrial gravitational field. At low temperatu
res and without surface tension, the density distribution has a discon
tinuity point due to phase separation, while the pressure is always co
ntinuous. At temperatures far above the critical point, the fluid colu
mn behaves as an ideal gas and the well-known barometric formula is re
covered. When surface tension is considered, this model gives also the
correct behavior of a Van der Waals fluid placed in a tank subjected
to terrestrial or space conditions in both cases, when the tank walls
are wetted or not by the fluid.