On the construction of global weak solutions in the Kynch theory of sedimentation

Bustos, María Cristina; Concha, F.

doi:10.1002/mma.1670100304

Cited by 43 publications

(39 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…3 (a)). Another mode of sedimentation in Case 2 when initial solid concentration = 0.2, 0.3, 0.4, is similar to MS-IV or MS-V sedimentation described by Bustos and Concha [7,8]. A typical characteristic of this mode is that the solid concentration of sediment bed change gradually from to max , so the lower interface would not be clearly captured.…”

Section: The Sedimentation Modes Of Mono-dispersed Particle Systemsupporting

confidence: 53%

“…5 (b)). The equal-concentration lines in Case 2 look like a fan radiating from the origin, which are termed as rarefaction wave [7] and observed in settling experiments [6]. These lines illustrate that the concentration of sediment bed gradually increases to the maximum value.…”

Section: The Sedimentation Modes Of Mono-dispersed Particle Systemmentioning

confidence: 81%

“…Where characteristic lines intersect, a sudden change in concentration, also called the shock (interface) would happen. The propagation speed of the shock wave is determined by the Rankine Hugoniot jump condition [7,8]:…”

Section: Overview Of the Theory Of Hindered Settlingmentioning

confidence: 99%

“…15 (a)). The z-coordinate of the terminal height of sediment bed sedi can be obtained by Concha [7,8], when initial concentration is in the range [ max * * , max * ] ( max * * , max * represent the intersection points of the tangent line of − curve through ( max , 0) and the − curve as shown in Fig. 15 (b)), the chord of − curve (red dotted line in Fig.…”

Section: The Solid Concentration Of Sediment Bedmentioning

confidence: 99%

See 3 more Smart Citations

Study of sedimentation of non-cohesive particles via CFD–DEM simulations

Sun

Cai

et al. 2017

Granular Matter

View full text Add to dashboard Cite

The sedimentation process of granular materials exists ubiquitously in nature and many fields which involve the solid-liquid separation. This paper employs the coupled computational fluid dynamics and discrete element method (CFD-DEM) to investigate the sedimentation process of non-cohesive particles, including the hindered settling stage and the deposition stage. Firstly, the coupled CFD-DEM model for sedimentation is validated by the hindered settling velocity at different solid volume concentrations of suspension , i.e., = 0.05~0.6. Two typical modes of sedimentation are also presented by the concentration profiles and the equal-concentration lines. Then, the comparisons between mono-and poly-dispersed particle system are detailed. In the sedimentation of the poly-dispersed particle system, the segregation phenomenon is simulated. Furthermore, this segregation effect reduces with the increase of the initial solid concentration of suspension. From the simulations, the contact force between every pair of particles can be obtained, hence we demonstrate the "effective stress principle" from the view of the particle contact force by giving the correspondence between the particle contact force and the "effective stress", which is a critical concept of soil mechanics. We also demonstrate the effective stress principle from the view of the contact force acting on particles.Moreover, the deposition stage can be simulated by CFD-DEM method, therefore the solid concentrations of sediment bed max on different conditions are studied. Based on the simulation results of max and the theory of sedimentation, this paper also discusses a method to calculate the critical time when sedimentation ends of two typical modes of sedimentation.

show abstract

Section: The Sedimentation Modes Of Mono-dispersed Particle Systemsupporting

confidence: 53%

Section: The Sedimentation Modes Of Mono-dispersed Particle Systemmentioning

confidence: 81%

Section: Overview Of the Theory Of Hindered Settlingmentioning

confidence: 99%

Section: The Solid Concentration Of Sediment Bedmentioning

confidence: 99%

See 2 more Smart Citations

Study of sedimentation of non-cohesive particles via CFD–DEM simulations

Sun

Cai

et al. 2017

Granular Matter

View full text Add to dashboard Cite

show abstract

“…8.5], [18], [19,Ch. 6.7], [20][21][22][23]. The problem of giving a satisfactory treatment of the behaviour around the inlet and outlets, respectively, was not solved until the 1990's, see [24][25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Operating Charts for Continuous Sedimentation II: Step Responses

Diehl

2005

J Eng Math

View full text Add to dashboard Cite

Abstract. The process of continuous sedimentation of particles in a liquid has often been predicted by means of operating charts and mass-balance considerations, where the underlying constitutive assumption is the one by Kynch. Much more complex operating charts (concentration-flux diagrams) can be obtained from a onedimensional model of an ideal continuous clarifier-thickener unit. The engineering concept of 'optimal operation' is defined generally as a special type of solution of the model equation, which is a conservation law with a source term and a space-discontinuous flux function. All qualitatively different step responses (with the unit initially in optimal operation in steady state) are presented and classified in terms of operating charts. Quantitative information relating several interesting variables are also presented concerning, for example, the time until overflow occurs as a function of the feed concentration and flux.

show abstract