Journal
TRANSPORT IN POROUS MEDIA
Volume 93, Issue 3, Pages 815-829Publisher
SPRINGER
DOI: 10.1007/s11242-012-9985-0
Keywords
Effective permeability; Porous interface; Darcy-Brinkman law
Categories
Funding
- National Science Foundation [CMMI-0900607]
- National Institute of Health [1R21AR061011]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [0900607] Funding Source: National Science Foundation
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The presence of interfaces in fluid/solid biphasic media is known to strongly influence their behavior both in terms of solid deformation and fluids flow. Mathematical models have traditionally represented these interfaces as lines of no-thickness and whose behavior is given in terms of effective permeabilities whose physical meaning is often disconnected to the microscopic nature of the interface. This article aims to reconcile macroscopic and microscopic interface representations by investigating how the nature of microscopic flows and pressures in the interface can be used to explain its macroscopic behavior. By invoking a proper thickness average operation, we derive an closed form expression that relates the effective interfaces permeabilities to its microscopic properties. In particular, we find that the effective interface permeabilities are strongly influenced by three factors: the ratio of bulk and interface permeabilities, the fluid viscosity, and the physical thickness of the interface.
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