The permeability of mesh wicks is important for various applications,
for example two-phase heat transfer. However, our understanding of the
permeability of single-layer, free-standing mesh wicks (SLFSMW), with
liquid-gas interfaces on both sides, is limited. We present a novel and
simpler method to determine the permeability of a SLFSMW and apply it to
a representative mesh. Our method involves modifying the capillary
pressures elevation and simultaneously measuring the permeability to
determine the permeability-capillary pressure relationship. When applied
to a copper mesh with plain weave having undergone careful surface
cleaning, the permeability is found to decrease as capillary pressure
for deionized (DI) water increases. We present dimensional analysis to
generalize our data for other mesh sizes with similar weaves, and
fluids. We model the behavior of mesh in application based on the
integration of Darcy’s law with an analytic function fit to measured
data and conduct parametric studies to investigate the superficial
velocity of liquids through the mesh under varying driving pressures,
transport lengths, and liquid viscosity based on the obtained capillary
pressure-permeability relationship. This study provides valuable
insights into the transport properties of mesh wicks, with potential
applications in fields such as electronics cooling, electrochemical
devices, and fluid purification technologies.