The permeability of pillar arrays in microfluidic devices: an application of Brinkman's theory towards wall friction.

ABSTRACT: Darcy's law describes the flow of Newtonian fluids through bulk porous media as the product of the applied pressure difference, the fluid's viscosity and the medium's permeability. Brinkman extended Darcy's law with a viscous stress term, thereby enabling boundary conditions to the flow field at the surface of the medium. The validity of Brinkman's term, and the value of its effective viscosity, have been heavily debated since their introduction nearly 75 years ago. We use experiments and Multibody Dissipative Particle Dynamics (MDPD) simulations to study flows through ordered and disordered pillar arrays in microfluidic channels of limited height. We find that the simulated velocity profiles are well described by an expedient interpretation of Brinkman's theory. Depending on the solid vol

SUBMITTER: Hulikal Chakrapani T 

PROVIDER: S-EPMC9846905 | biostudies-literature | 2023 Jan

REPOSITORIES: biostudies-literature