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diff --git a/typst/narrow_channel.png b/typst/narrow_channel.png Binary files differnew file mode 100644 index 0000000..374fdf9 --- /dev/null +++ b/typst/narrow_channel.png diff --git a/typst/refs.bib b/typst/refs.bib index d36b200..852be09 100644 --- a/typst/refs.bib +++ b/typst/refs.bib @@ -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.} +} |
