Permeability of Single‐Layer‐Free‐Standing Meshes at Varying Capillary Pressure via a Novel Method

Abstract

Abstract The permeability of mesh wicks is important for various applications, including two‐phase heat transfer. However, the understanding of the permeability of single‐layer, free‐standing mesh wicks, with liquid–gas interfaces on both sides, is limited. A novel and simpler method is presented to determine the permeability of a free‐standing wick and apply it to a representative mesh. This method involves modifying the capillary pressure via elevation and simultaneously measuring the permeability to determine the permeability‐capillary pressure relationship. When applied to a copper mesh with plain weave having undergone surface cleaning, the permeability is found to decrease as capillary pressure for deionized water increases. A dimensional analysis is presented to generalize this data for other mesh sizes with similar weaves and fluids. The behavior of mesh in application is modeled, based on the integration of Darcy's law with an analytic function fit to measured data, and parametric studies are conducted 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.

Keywords

• Darcy's law
• dimensional analysis
• free standing mesh
• maximum capillary pressure
• permeability measurement
• porous media