To advance the thermodynamic models
needed for many industrial
processes, accurate measurements of fluid-phase behavior are essential.
Therefore, we present a newly designed microwave re-entrant cavity
apparatus to deliver improved phase-behavior measurements of pure
and multicomponent fluids. The re-entrant geometry has spatially distinct
resonant modes, which are used to determine the dielectric permittivity
of the liquid and vapor phase and the liquid volume fraction (Λ).
The first mode (f
vac ≈ 320 MHz)
is sensitive to small liquid volumes, the second (1.86 GHz) is
sensitive to small vapor volumes, and the third (6.57 GHz) is
sensitive to the interface location. At equilibrium, a system of three
equations, one for each mode, allows for the dielectric permittivity
of each phase and Λ to be determined from the measured resonant
frequencies. The cavity’s suitability for solving this inverse
problem was explored using finite element analysis and experiments
with pure propane and pentane. A primary limitation of the method
was the dependence of the mode-shape functions (G
n
) on phase permittivities, which become
measurable for high-frequency modes. We propose a solution to account
for this dependence using finite element simulations that map the G
n
surface as a function of
Λ and the ratio of phase dielectric permittivities.