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interfacial-conditions
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Stress-jump and Continuity Interface Conditions for a Cylinder Embedded in a Porous Medium
, Article Transport in Porous Media ; Volume 107, Issue 1 , 2015 , Pages 171-186 ; 01693913 (ISSN) ; Nouri Borujerdi, A ; Valipour, M. S ; Ellahi, R ; Pop, I ; Sharif University of Technology
Kluwer Academic Publishers
2015
Abstract
The selection of interface boundary conditions between porous-medium and clear-fluid regions is very important for the wide range of engineering applications. In this paper, the difference between two common types of fluid flow interfacial conditions between clear fluid and porous medium is analyzed in detail. These two types of fluid flow interfacial condition are stress-jump and stress-continuity conditions. The effects of porosity on these types of interface condition are studied. The results are presented for different Reynolds numbers in the range 1–40, porosity equal to 0.4 and 0.8 and Darcy number Da=5×10-4. In this study, the Darcy–Brinkmann–Forchheimer model is used to model the...
Modeling fluid flow in fractured porous media with the interfacial conditions between porous medium and fracture
, Article Transport in Porous Media ; Volume 139, Issue 1 , 2021 , Pages 109-129 ; 01693913 (ISSN) ; Khoei, A. R ; Sharif University of Technology
Springer Science and Business Media B.V
2021
Abstract
One of the most popular models that has been applied to predict the fluid velocity inside the fracture with impermeable walls is the cubic law. It highlights that the mean flux along the fracture is proportional to the cubic of fracture aperture. However, for a fractured porous medium, the normal and tangential interface conditions between the fracture and porous matrix can change the velocity profile inside the fracture. In this paper, a correction factor is introduced for flow equation along the fracture by imposing the continuity of normal and tangential components of velocity at the interface between the fracture and porous matrix. As a result, the mean velocity inside the fracture...