Abstract
Despite the ubiquity of fluid flows interacting with porous and elastic materials, we lack a validated non-empirical macroscale method for characterizing the flow over and through a poroelastic medium. We propose a computational tool to describe such configurations by deriving and validating a continuum model for the poroelastic bed and its interface with the above free fluid. We show that, using stress continuity condition and slip velocity condition at the interface, the effective model captures the effects of small changes in the microstructure anisotropy correctly and predicts the overall behaviour in a physically consistent and controllable manner. Moreover, we show that the performance of the effective model is accurate by validating with fully microscopic resolved simulations. The proposed computational tool can be used in investigations in a wide range of fields, including mechanical engineering, bio-engineering and geophysics.
Highlights
Recent advances in surface micro- and nano-fabrication techniques [1,2,3] are providing new technological opportunities of enormous potential
We report results obtained from resolved direct numerical simulations and explain the shear stress transfer between free fluid and poroelastic medium
We have considered the problem of a free-fluid interacting with a poroelastic bed, by deriving and validating an effective continuum model for the bed and its interface with the above free fluid
Summary
Recent advances in surface micro- and nano-fabrication techniques [1,2,3] are providing new technological opportunities of enormous potential. We lack high-fidelity models capturing how the underlying small-scale physico-chemical processes interact with the large-scale flow and heat- and mass-transport phenomena. The reason is the vast range of scales in both time and space that need be resolved in order to capture the full physical picture, which renders full-scale numerical investigations extremely costly [4]. Small length scales determines the properties of the flow over much larger space and time scales. But are not limited to, the design of novel surfaces to control heat transfer, skin rspa.royalsocietypublishing.org Proc.
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