One-dimensional hydrodynamic model for the isothermal-evaporation of an axisymmetric-unbounded liquid bridge

Abstract

In this manuscript, we examine the isothermal-evaporation of an unbounded axisymmetric liquid bridge confined between parallel-planar similar or chemically different substrates using both theory and experiments for axial Bond numbers 0.04 and 0.16. A perturbation analysis of the governing equations of motion produced a one-dimensional equation model, and this model made it possible to compute the interface profile evolution. Glass-acrylic or acrylic-acrylic substrate pairs (top-bottom) were used in experiments, with purified water as the liquid. Transient liquid-bridge volume estimates and contact angle data were extracted via image analysis at fixed time intervals and compared with results from the profiles that were computed using the one-dimensional equation model. There was good agreement when comparing the volume estimates and contact angle data.