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@@ -7,6 +7,7 @@
volume = {9},
pages = {8}
}
+
@book{kundu2015fluid,
title={Fluid Mechanics},
author={Kundu, P.K. and Cohen, I.M. and Dowling, D.R.},
@@ -15,3 +16,89 @@ url={https://books.google.no/books?id=EehDBAAAQBAJ},
year={2015},
publisher={Academic Press}
}
+
+@book{happel2012low,
+title={Low Reynolds number hydrodynamics: with special applications to particulate
+media},
+author={Happel, J. and Brenner, H.},
+isbn={9789400983526},
+series={Mechanics of Fluids and Transport Processes},
+url={https://books.google.no/books?id=u-ptCQAAQBAJ},
+year={2012},
+publisher={Springer Netherlands}
+}
+
+@article{laurez2025bridging,
+title = {Numerical investigation and stochastic modeling of particle bridging under various
+flow, pore, and particle properties},
+journal = {Advances in Water Resources},
+volume = {206},
+pages = {105158},
+year = {2025},
+issn = {0309-1708},
+doi = {https://doi.org/10.1016/j.advwatres.2025.105158},
+url = {https://www.sciencedirect.com/science/article/pii/S0309170825002726},
+author = {Laurez {Fogouang Maya} and Laurent André and Cyprien Soulaine},
+keywords = {Pore-clogging, Particle transport, Bridging, CFD-DEM, Computational
+microfluidics, Discrete stochastic},
+abstract = {A complex interplay of fluid, particle, and pore properties influences the
+stochastic nature of particle bridging in confined channels. This study investigates the role
+of constriction angle, particle Reynolds number, particle concentration, particle-to
+constriction size ratio, and constriction smoothness in clogging behavior within semidilute
+suspensions. A coupled CFD-DEM approach was used to simulate particle transport through
+a constricted channel, and a discrete stochastic model was developed to describe the
+statistical nature of clogging events. The model characterizes clogging through the average
+number of particles, or escapees, that pass through a constriction before a stable arch
+forms. Results show that the number of escapees decreases with increasing constriction
+angle and particle concentration, while remaining largely unaffected by injection flow rate
+within the Stokes regime. The number of particles forming stable arches increases in
+discrete steps, closely matching integer values of the particle-to-constriction size ratio.
+Sharper constrictions were observed to promote more frequent and stable clogging
+compared to smoother geometries. The stochastic model accurately captures these trends,
+demonstrating its predictive capability across various conditions.}
+}
+
+@article{proudman_pearson_1957, title={Expansions at small Reynolds numbers for the
+flow past a sphere and a circular cylinder}, volume={2}, DOI={10.1017
+S0022112057000105}, number={3}, journal={Journal of Fluid Mechanics},
+author={Proudman, Ian and Pearson, J. R. A.}, year={1957}, pages={237–262}}
+
+@article{Kynch_1959, title={The slow motion of two or more spheres through a viscous
+fluid}, volume={5}, DOI={10.1017/S0022112059000155}, number={2}, journal={Journal
+of Fluid Mechanics}, author={Kynch, G. J.}, year={1959}, pages={193–208}}
+
+@article{GOLDMAN1966,
+title = {The slow motion of two identical arbitrarily oriented spheres through a viscous
+fluid},
+journal = {Chemical Engineering Science},
+volume = {21},
+number = {12},
+pages = {1151-1170},
+year = {1966},
+issn = {0009-2509},
+doi = {https://doi.org/10.1016/0009-2509(66)85036-4},
+url = {https://www.sciencedirect.com/science/article/pii/0009250966850364},
+author = {A.J. Goldman and R.G. Cox and H. Brenner},
+abstract = {Bipolar coordinates are employed to determine the terminal settling motion of
+two, identical, homogeneous, unconstrained spheres in an unbounded fluid at small
+Reynolds numbers. Exact numerical values are obtained for the linear and angular velocities
+of the spheres as a function of their relative separation and of the orientation of their line-of
+centers relative to the direction of gravity. Comparison with published experimental data
+indicates good agreement, especially when wall effects are taken into account.
+Résumé
+Les auteurs emploient les coordonnées bipolaires pour déterminer le mouvement résultant
+de deux sphères identiques et homogènes libres, dans un fluide illimité, avec un faible
+nombre de Reynolds. Des valeurs numériques exactes, sont obtenues pour des vitesses
+linéaires et angulaires des sphères, en fonction de leur séparation relative et de l'orientation
+de la ligne des centres par rapport à la direction de la pesanteur. Une comparaison avec les
+résultats expérimentaux déjà publiés montre que ceux-ci sont en accord avec la théorie et
+plus spécialement lorsqu'on tient compte des effets de paroi.
+Zusammenfassung
+Zur Bestimmung der Endabsetzbewegung zweier identischer, homogener, ungehemmter
+Kugeln in einer unbegrenzten Flüssigkeit bei niedrigen Reynoldsschen Zahlen werden
+Bipolarkoordinaten verwendet. Für die Linear- und Winkelgeschwindigkeiten der Kugeln, in
+Abhängigkeit von ihrer gegenseitigen Trennung und der Ausrichtung ihrer Mittellinien in
+Bezug auf die Richtung der Schwerkraft, werden genaue zahlenmässige Werte erhalten. Ein
+Vergleich mit veröffentlichten Daten zeigt gute Überienstimmung, besonders wenn man die
+Wandeffekte in Betracht zieht.}
+}