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Journal articles on the topic 'Hindered settling function'

Author: Grafiati

Published: 4 June 2021

Last updated: 13 February 2022

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1

Stricker, A. E., I. Takács, and A. Marquot. "Hindered and compression settling: parameter measurement and modelling." Water Science and Technology 56, no. 12 (December 1, 2007): 101–10. http://dx.doi.org/10.2166/wst.2007.786.

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The Vesilind settling velocity function forms the basis of flux theory used both in state point analysis (for design and capacity rating) and one-dimensional dynamic models (for dynamic process modelling). This paper proposes new methods to address known shortcomings of these methods, based on an extensive set of batch settling tests conducted at different scales. The experimental method to determine the Vesilind parameters from a series of bench scale settling tests is reviewed. It is confirmed that settling cylinders must be slowly stirred in order to represent settling performance of full s

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2

Davis, Robert H., and Hatice Gecol. "Hindered settling function with no empirical parameters for polydisperse suspensions." AIChE Journal 40, no. 3 (March 1994): 570–75. http://dx.doi.org/10.1002/aic.690400317.

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3

Zhu, Zhongfan, Hongrui Wang, Dingzhi Peng, and Jie Dou. "Modelling the Hindered Settling Velocity of a Falling Particle in a Particle-Fluid Mixture by the Tsallis Entropy Theory." Entropy 21, no. 1 (January 11, 2019): 55. http://dx.doi.org/10.3390/e21010055.

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The settling velocity of a sediment particle is an important parameter needed for modelling the vertical flux in rivers, estuaries, deltas and the marine environment. It has been observed that a particle settles more slowly in the presence of other particles in the fluid than in a clear fluid, and this phenomenon has been termed ‘hindered settling’. The Richardson and Zaki equation has been a widely used expression for relating the hindered settling velocity of a particle with that in a clear fluid in terms of a concentration function and the power of the concentration function, and the power

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4

Mazzolani, G., F. Pirozzi, and G. d'Antonoi. "A generalized settling approach in the numerical modeling of sedimentation tanks." Water Science and Technology 38, no. 3 (August 1, 1998): 95–102. http://dx.doi.org/10.2166/wst.1998.0184.

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Numerical models for the prediction of turbulent flow field and suspended solid distribution in sedimentation tanks are characterized by refined modeling of hydrodynamics, but apparently weak modeling of settling properties of suspensions. It is known that sedimentation tanks typically treat highly heterodisperse suspensions, whose concentrations range from relatively high to low values. However, settling is modeled either by considering one or more particle classes of different settling velocity, without accounting for hindered settling conditions, or by treating the suspension as monodispers

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5

Usher, Shane P., and Peter J. Scales. "Steady state thickener modelling from the compressive yield stress and hindered settling function." Chemical Engineering Journal 111, no. 2-3 (August 2005): 253–61. http://dx.doi.org/10.1016/j.cej.2005.02.015.

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6

Bürger, Raimund, Julio Careaga, Stefan Diehl, Ryan Merckel, and Jesús Zambrano. "Estimating the hindered-settling flux function from a batch test in a cone." Chemical Engineering Science 192 (December 2018): 244–53. http://dx.doi.org/10.1016/j.ces.2018.07.029.

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7

Bürger, Raimund, Stefan Diehl, Sebastian Farås, Ingmar Nopens, and Elena Torfs. "A consistent modelling methodology for secondary settling tanks: a reliable numerical method." Water Science and Technology 68, no. 1 (July 1, 2013): 192–208. http://dx.doi.org/10.2166/wst.2013.239.

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The consistent modelling methodology for secondary settling tanks (SSTs) leads to a partial differential equation (PDE) of nonlinear convection–diffusion type as a one-dimensional model for the solids concentration as a function of depth and time. This PDE includes a flux that depends discontinuously on spatial position modelling hindered settling and bulk flows, a singular source term describing the feed mechanism, a degenerating term accounting for sediment compressibility, and a dispersion term for turbulence. In addition, the solution itself is discontinuous. A consistent, reliable and rob

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8

Rzayev, A. H., R. Sh Asadova, and V. M. Haqverdiyev. "CONTROL OF THE PROCESSES OF DYNAMIC SETTLING OF OIL EMULSION." ASJ. 2, no. 40 (September 9, 2020): 36–42. http://dx.doi.org/10.31618/asj.2707-9864.2020.2.40.22.

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A systematic analysis of the state of the art in the methods for enhancing processes of thermochemical treatment of oil is carried out. A new method and a new system for controlling the process of dynamic settling of oil emulsion (OE) is developed, which allows increasing the efficiency of managing the process of dynamic settling by more accurately measuring the degree of phase separation, while avoiding the process of “flooding”. The mechanism of formation of an electrical double layer around emulsified water droplets (EWD) and the interaction energy of these droplets as a distance function i

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9

Bürger, R., J. Careaga, and S. Diehl. "A review of flux identification methods for models of sedimentation." Water Science and Technology 81, no. 8 (March 11, 2020): 1715–22. http://dx.doi.org/10.2166/wst.2020.113.

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Abstract Most models of sedimentation contain the nonlinear hindered-settling flux function. If one assumes ideal conditions and no compression, then there exist several theoretically possible ways of identifying a large portion of the flux function from only one experiment by means of formulas derived from the theory of solutions of partial differential equations. Previously used identification methods and recently published such, which are based on utilizing conical vessels or centrifuges, are reviewed and compared with synthetic data (simulated experiments). This means that the identificati

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10

Cunha, F. R., G. C. Abade, A. J. Sousa, and E. J. Hinch. "Modeling and Direct Simulation of Velocity Fluctuations and Particle-Velocity Correlations in Sedimentation." Journal of Fluids Engineering 124, no. 4 (December 1, 2002): 957–68. http://dx.doi.org/10.1115/1.1502665.

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In this paper we present direct numerical simulations of monodisperse and polydisperse suspensions of non-Brownian particles sedimenting at low Reynolds number. We describe a scheme to generate ergodic ensembles of random particulate systems and a numerical procedure for computing interactions among spherical particles based on Ewald summation technique for hydrodynamic mobility tensors. From the generation process truly random both monodisperse and multimodal size distributions of particles were obtained for dilute and moderate densities based on a minimum energy criterion. Concerned with com

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11

Lester, Daniel R., Shane P. Usher, and Peter J. Scales. "Estimation of the hindered settling functionR(?) from batch-settling tests." AIChE Journal 51, no. 4 (2005): 1158–68. http://dx.doi.org/10.1002/aic.10333.

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12

Bruneau, D., R. Anthore, F. Feuillebois, X. Auvray, and C. Petipas. "Measurement of the average velocity of sedimentation in a dilute polydisperse suspension of spheres." Journal of Fluid Mechanics 221 (December 1990): 577–96. http://dx.doi.org/10.1017/s0022112090003688.

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An X-ray attenuation technique is used to obtain the local concentration of spherical particles in a polydisperse suspension as a function of vertical position and time. From these experimental data, the average velocity of sedimentation in the homogeneous part of the suspension is derived by considering the variation with time of the total volume of particles located above a given fixed horizontal plane. Measurements have been performed in suspensions of particles which differ from each other in size with a total volume concentration in particles between 0.13% and 2.5%, and also in suspension

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13

Plósz, Benedek G., Javier Climent, Christopher T. Griffin, Sergio Chiva, Rani Mukherjee, Elena Penkarski-Rodon, Matthew Clarke, and Borja Valverde-Pérez. "Hindered and compression solid settling functions – Sensor data collection, practical model identification and validation." Water Research 184 (October 2020): 116129. http://dx.doi.org/10.1016/j.watres.2020.116129.

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14

Torfs, Elena, Sophie Balemans, Florent Locatelli, Stefan Diehl, Raimund Bürger, Julien Laurent, Pierre François, and Ingmar Nopens. "On constitutive functions for hindered settling velocity in 1-D settler models: Selection of appropriate model structure." Water Research 110 (March 2017): 38–47. http://dx.doi.org/10.1016/j.watres.2016.11.067.

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15

Vowinckel, B., J. Withers, Paolo Luzzatto-Fegiz, and E. Meiburg. "Settling of cohesive sediment: particle-resolved simulations." Journal of Fluid Mechanics 858 (October 31, 2018): 5–44. http://dx.doi.org/10.1017/jfm.2018.757.

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We develop a physical and computational model for performing fully coupled, grain-resolved direct numerical simulations of cohesive sediment, based on the immersed boundary method. The model distributes the cohesive forces over a thin shell surrounding each particle, thereby allowing for the spatial and temporal resolution of the cohesive forces during particle–particle interactions. The influence of the cohesive forces is captured by a single dimensionless parameter in the form of a cohesion number, which represents the ratio of cohesive and gravitational forces acting on a particle. We test

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16

Rajan, T. P. D., and B. C. Pai. "Processing of Functionally Graded Aluminium Matrix Composites by Centrifugal Casting Technique." Materials Science Forum 690 (June 2011): 157–61. http://dx.doi.org/10.4028/www.scientific.net/msf.690.157.

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Functionally graded materials (FGM) possess a gradual transition in the composition or microstructure within a component inducing gradual changes in the functions and properties of the material with varying location. The present investigation is to form functionally graded aluminum composites with varying microstructural features and properties gradation using centrifugal casting by varying the material and process parameters. The ex-situ Al-SiC FGM has shown graded distribution of SiC towards the outer periphery and Al-SiC-Graphite has shown both particle gradations of SiC and Graphite toward

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17

Apostolopoulos, Sotiris, Marion Leibold, and Martin Buss. "Transitioning Between Underactuated Periodic Orbits: An Optimal Control Approach for Settling Time Reduction." International Journal of Humanoid Robotics 15, no. 06 (December 2018): 1850027. http://dx.doi.org/10.1142/s0219843618500275.

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In underactuated systems, a transition between two periodic orbits is generally characterized by slow convergence. This is due to the fact that the unactuated degree of freedom (DoF) hinders the state of the system to enter the domain of attraction of the target orbit close to the fixed point of the Poincaré Map. In this paper, we introduce an optimal control algorithm to reduce the settling time of transitions between periodic orbits of underactuated walking robots. This is achieved by utilizing the hybrid zero dynamics (HZD) framework to express the feasibility condition of the transition wh

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18

Brzinski, T. A., and D. J. Durian. "Observation of two branches in the hindered settling function at low Reynolds number." Physical Review Fluids 3, no. 12 (December 10, 2018). http://dx.doi.org/10.1103/physrevfluids.3.124303.

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