Empirical Flow Rate/Pressure Drop Relationships for Capillaries of Triangular and Rectangular Cross-Sections to be Used in Yield Stress Fluid Porosimetry
Article dans une revue avec comité de lecture
The aim of the present work is to investigate the flow rate/pressure gradient relationship for the flow of yield stress fluids through rectilinear capillaries of non-circular cross-sections. These capillaries very often serve as basic elements in the modeling of porous media as bundles of capillaries or pore-network models. Based on the notions of shape coefficient and critical Bingham number, empirical flow rate/pressure gradient relationships have been proposed for both Bingham and Herschel–Bulkley fluids. The reliability of these relationships has been assessed by performing numerical simulations with the open-source Computational Fluid Dynamics (CFD) package OpenFOAM. For the considered cross-sectional shapes (equilateral triangle and square), and for a wide range of Bingham numbers, the predictions of the proposed empirical relationships have shown to be in very good agreement with the results of the current numerical simulations, as well as with previous results from the literature. An interesting feature of the proposed empirical relationships is the possibility to easily predict the total flow rate under a given imposed pressure gradient in a bundle of non-circular capillaries having any random distribution of inscribed circle radii. Furthermore, in the context of the yield stress fluid porosimetry method (YSM), experimental data may now be processed based upon bundles of capillaries with non-circular cross-sections.
Showing items related by title, author, creator and subject.
Using Xanthan Gum Solutions to Characterize Porous Media with the Yield Stress Fluid Porosimetry Method: Robustness of the Method and Effects of Polymer Concentration Article dans une revue avec comité de lectureRODRÍGUEZ DE CASTRO, Antonio; AHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Springer Verlag, 2018)The yield stress fluids porosimetry method (YSM)was recently presented as a simple and non-toxic potential alternative to the extensively used mercury intrusion porosimetry (MIP). The success of YSM heavily relies on the ...
Determination of the aperture distribution of rough-walled rock fractures with the non-toxic Yield Stress fluids porosimetry method Article dans une revue avec comité de lectureRODRIGUEZ DE CASTRO, Antonio; AHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Elsevier BV, 2020)Fractures in geological formations constitute high-conductivity conduits which potentially act as preferential paths during fluid injection in soil remediation and reservoir engineering operations. Recently, the measurement ...
Numerical porosimetry: Evaluation and comparison of yield stress fluids method, mercury intrusion porosimetry and pore network modelling approaches Article dans une revue avec comité de lectureRODRIGUEZ DE CASTRO, Antonio; AGNAOU, Mehrez; AHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Elsevier BV, 2020)Mercury Intrusion Porosimetry (MIP) is still today the reference porosimetry technique despite its environmental health and safety concerns. As a safe alternative, the Yield Stress fluids Method (YSM) consists in computing ...
Numerical investigation of Herschel–Bulkley fluid flows in 2D porous media: Yielding behaviour and tortuosity Article dans une revue avec comité de lectureRODRIGUEZ DE CASTRO, Antonio; AGNAOU, Mehrez; AHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Elsevier BV, 2020)Hydraulic tortuosity is commonly used as an input to macroscopic flow models in porous media, accounting for the sinuosity of the streamlines. It is well known that hydraulic tortuosity does not depend on the applied ...
Application of Non-toxic Yield Stress Fluids Porosimetry Method and Pore-Network Modelling to Characterize the Pore Size Distribution of Packs of Spherical Beads Article dans une revue avec comité de lectureRODRIGUEZ DE CASTRO, Antonio; AGNAOU, Mehrez; AHMADI-SENICHAULT, Azita; OMARI, Abdelaziz (Springer Science and Business Media LLC, 2019)With X-ray computed tomography still being flawed as a result of limitations in terms of spatial resolution and cost, toxic mercury intrusion porosimetry (MIP) is nowadays the prevailing technique to determine PSDs of most ...