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Water scarcity has required constant water recycling, leading to a decline in water quality, further exacerbated by high concentrations of fine particles that reduce the efficiency of solid-liquid separation systems. Inclined settlers offer…

Fluid Dynamics · Physics 2025-04-18 Cristian Reyes , Cristobal Arratia , Christian Ihle

Reactive settling denotes the process of sedimentation of small solid particles dispersed in a viscous fluid with simultaneous reactions between the components that constitute the solid and liquid phases. This process is of particular…

Numerical Analysis · Mathematics 2021-05-25 Raimund Bürger , Julio Careaga , Stefan Diehl

Reactive settling is the process of sedimentation of small solid particles in a fluid with simultaneous reactions between the components of the solid and liquid phases. This process is important in sequencing batch reactors (SBRs) in…

Numerical Analysis · Mathematics 2023-04-18 Raimund Bürger , Julio Careaga , Stefan Diehl , Romel Pineda

Particles are known to sediment faster in containers with tilted walls than in vertical ones, a phenomenon known as the Boycott effect. In this work, we investigate how the tilt angle influences sedimentation in narrow channels across…

Structure-aware Taylor (SAT) methods are a class of timestepping schemes designed for propagating linear hyperbolic solutions within a tent-shaped spacetime region. Tents are useful to design explicit time marching schemes on unstructured…

Numerical Analysis · Mathematics 2022-11-29 Jay Gopalakrishnan , Zheng Sun

In this paper we consider a tank containing fluid and we want to estimate the horizontal currents when the fluid surface height is measured. The fluid motion is described by shallow water equations in two horizontal dimensions. We build a…

Optimization and Control · Mathematics 2013-09-20 Didier Auroux , S. Bonnabel

The physics of settling suspensions under shear are investigated by theoretical and numerical analyses of unstable equilibrium solutions to the incompressible Navier-Stokes equations, coupled with an advection-diffusion-settling equation…

Fluid Dynamics · Physics 2026-05-06 Jake Langham , Andrew J. Hogg

Sedimentation is a crucial phenomenon in recovering water from slurries by separating solid-liquid. Thickeners and sedimentation columns are equipments widely used in the process industry to reclaim water from process slurries. This…

Systems and Control · Electrical Eng. & Systems 2024-07-02 Jesus-Pablo Toledo-Zucco , Daniel Sbarbaro , Joao Manoel Gomes da Silva

Experiments of particle-laden inclined film flow [Zhou, Dupuy, Bertozzi, and Hosoi, Phys. Rev. Lett. 94 (2005)] have displayed different settling behaviors depending on the particle concentration $\phi$ and angle of inclination $\theta$, in…

Fluid Dynamics · Physics 2009-11-13 Benjamin P. Cook

Liquids generally become more ordered upon cooling. However, it has been a long-standing debate on whether such structural ordering in liquid water takes place continuously or discontinuosly: continuum vs. mixture models. Here, by computer…

Soft Condensed Matter · Physics 2020-02-25 Rui Shi , Hajime Tanaka

The settling efficiency, and stability with respect to settling, of a dilute suspension of infinite circular cylinders in a quiescent viscoplastic fluid is examined by means of direct numerical simulations with varying solid volume…

Fluid Dynamics · Physics 2018-10-03 A. R. Koblitz , S. Lovett , N. Nikiforakis

This manuscript proposes an analytical model and a simple experimental methodology to estimate the effective settling velocity of very fine sediments at high concentrations. A system of two coupled ordinary differential equations for the…

Fluid Dynamics · Physics 2018-12-05 Agustín Millares , Andrea Lira-Loarca , Antonio Moñino , Manuel Díez-Minguito

Self-consistent field theory (SCFT) and strong segregation theory (SST) are used to explore the parameter space governing the self-assembly of cylinder forming block copolymers (BCPs) on a modulated substrate. The stability of in-plane…

Materials Science · Physics 2018-11-16 Karim Gadelrab , Alfredo Alexander-Katz

A numerical scheme is proposed for the simulation of reactive settling in sequencing batch reactors (SBRs) in wastewater treatment plants. Reactive settling is the process of sedimentation of flocculated particles (biomass; activated…

Numerical Analysis · Mathematics 2023-04-18 Raimund Bürger , Julio Careaga , Stefan Diehl , Romel Pineda

Lubricant-infused surfaces (LISs) can promote stable dropwise condensation and improve heat transfer rates due to a low nucleation free-energy barrier and high droplet mobility. Topographical differences in the oil surface cause water…

Fluid Dynamics · Physics 2021-11-02 Jianxing Sun , Xinyu Jiang , Patricia B. Weisensee

Quantifying formidable multiple coupling effects involved in Surface-enhanced Raman scattering (SERS) is a prerequisite for accurate design of SERS probes with superior detection limit and uniformity which are the targets for trace…

This paper presents a more stable implementation and a highly accurate numerical tool for predicting flooding in urban areas. We started with the (linearised) well-posedness analysis by [1], where far-field boundary conditions were proposed…

Analysis of PDEs · Mathematics 2022-07-05 Reindorf N. Borkor , Magnus Svard , Adu Sakyi , Peter Amoako-Yirenkyi

It is demonstrated that the reason of SERS on dielectric and semiconductor substrates is the enhancement of the electric field in the regions of the tops of the surface roughness with very small radius, or a very large curvature. The…

Chemical Physics · Physics 2017-02-20 V. P. Chelibanov A. M. Polubotko

A non-negligible part of the biological reactions in the activated sludge process for treatment of wastewater takes place in secondary settling tanks that follow biological reactors. It is therefore of interest to develop models of…

Numerical Analysis · Mathematics 2023-04-18 Raimund Bürger , Julio Careaga , Stefan Diehl , Romel Pineda

A high-order combined interpolation/finite element technique is developed for solving the coupled groundwater-surface water system that governs flows in karst aquifers. In the proposed high-order scheme we approximate the time derivative…

Numerical Analysis · Mathematics 2025-05-28 Eric Ngondiep , Areej A. Binsultan , Ibtisam M. Aldawish
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