scholarly journals Homogenization of Bingham flow in thin porous media

2020 ◽  
Vol 15 (1) ◽  
pp. 87-110
Author(s):  
María Anguiano ◽  
◽  
Renata Bunoiu ◽  
Keyword(s):  
Porous Media ◽  
Bingham Flow ◽  
Thin Porous Media

scholarly journals Thin Porous Media

2016 ◽  
Vol 115 (3) ◽  
pp. 407-410 ◽  
Author(s):  
Lilit Yeghiazarian ◽  
Krishna Pillai ◽  
Rodrigo Rosati
Keyword(s):  
Porous Media ◽  
Thin Porous Media

scholarly journals On compressible and piezo-viscous flow in thin porous media

2018 ◽  
Vol 474 (2209) ◽  
pp. 20170601 ◽  
Author(s):  
F. Pérez-Ràfols ◽  
P. Wall ◽  
A. Almqvist
Keyword(s):  
Porous Media ◽  
Pressure Drop ◽  
Viscous Fluid ◽  
Linear Equation ◽  
Nonlinear Function ◽  
Viscous Fluids ◽  
Total Flow ◽  
Thin Porous Media ◽  
Flow Through ◽  
The One

In this paper, we study flow through thin porous media as in, e.g. seals or fractures. It is often useful to know the permeability of such systems. In the context of incompressible and iso-viscous fluids, the permeability is the constant of proportionality relating the total flow through the media to the pressure drop. In this work, we show that it is also relevant to define a constant permeability when compressible and/or piezo-viscous fluids are considered. More precisely, we show that the corresponding nonlinear equation describing the flow of any compressible and piezo-viscous fluid can be transformed into a single linear equation. Indeed, this linear equation is the same as the one describing the flow of an incompressible and iso-viscous fluid. By this transformation, the total flow can be expressed as the product of the permeability and a nonlinear function of pressure, which represents a generalized pressure drop.

VALIDATION OF THE MODIFIED HDD EQUATION FOR THIN POROUS MEDIA BASED ON EXPERIMENTAL RESULTS

2015 ◽  
Author(s):  
Klünger Arthur Éster Beck ◽  
Dra. Raquel da Cunha Ribeiro da Silva ◽  
Christian Naaktgeboren, PhD
Keyword(s):  
Porous Media ◽  
Experimental Results ◽  
Thin Porous Media

scholarly journals Capillary pressure–saturation curves of thin hydrophilic fibrous layers: effects of overburden pressure, number of layers, and multiple imbibition–drainage cycles

2019 ◽  
Vol 89 (23-24) ◽  
pp. 4906-4915 ◽  
Author(s):  
Amir Hossein Tavangarrad ◽  
S. Majid Hassanizadeh ◽  
Rodrigo Rosati ◽  
Luigi Digirolamo ◽  
Martinus Th van Genuchten
Keyword(s):  
Porous Media ◽  
Hydraulic Conductivity ◽  
Capillary Pressure ◽  
Unsaturated Soils ◽  
Measured Data ◽  
Text Data ◽  
Overburden Pressure ◽  
Number Of Layers ◽  
Thin Porous Media ◽  
Data Points

Unsaturated fluid flow in thin porous media depends on hydraulic properties, such as the capillary pressure, P c, as a function of saturation, S. We measured this relationship for two different types of compressible thin hydrophilic fibrous layers under varying conditions. Among other factors, we changed the number of layers and the overburden pressure (i.e. the confined solid pressure applied on top of the sample) imposed on one layer or a stack of layers. Applying an overburden pressure drastically affected the [Formula: see text] curves. However, increasing the number of fibrous layers had little impact on the capillary pressure–saturation curves. We also investigated the effect of multiple imbibition–drainage cycles on the [Formula: see text] data. Measured data points were used to find general expressions for the [Formula: see text] relationships of compressible thin porous media. Existing quasi-empirical correlations used in vadose zone hydrology, notably expressions by van Genuchten (Van Genuchten MTh. A closed-form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Sci Soc Am J 1980; 44: 892-898) and Durner (Durner W. Hydraulic conductivity estimation for soils with heterogeneous pore structure. Water Resour Res 1994; 32: 211–223) for single- and dual-porosity media, respectively, were employed to fit the measured data points.

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