Mathematical modelling of batch sedimentation subject to slow aggregate densification

Abstract

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Designing thickeners by matching hindered settling and gelled suspension zones in the presence of aggregate densification

“…In the case of interest in the current section, i.e. ungelled suspensions, flocs must be not in contact with one another so ϕ=ϕ agg must be strictly less than a close packing fraction (that following Usher et al (2009) and Zhang et al (2015) is assumed to equal 0.6).…”

“…where (Zhang et al, 2013a(Zhang et al, , 2015 a 0 ¼ 3:7914 Pa, m ¼0.0363, n 0 ¼ 10:8302 and ϕ cp ¼ 0:8. Moreover ϕ g;0 ¼ 0:1 is the undensified gel point: observe that this is 0.6 times ϕ agg;0 .…”

Is the dewatering of Palm Oil Mill Effluent (POME) feasible? Effect of temperature on POME’s rheological properties and compressive behavior

“…At equilibrium, the sample has stopped compressing for a given applied pressure i.e., the compressive yield stress Py( ∞ ), at the equilibrium solids volume fraction can be thus equated to the applied pressure (de Kretser et al, 2001;Green et al, 1996;Landman et al, 1995). Zhang et al (2015b) states that the compressive yield stress can exhibit different types of variation in the neighborhood of the gel point, . Zhang et al (2015a) suggested an empirical equation to fit the compressive yield stress Py( ) as shown in equation 1.…”

“…∞ (Zhang et al, 2015b). Moreover, C0 measured in Pa, b0 and k0 which are dimensionless parameters that are dependent on the suspension properties.…”

Characteristics of Aligned Micropillar Electrodes for Size-Selective Particle Capture by Dielectrophoresis: A Model of Dielectrophoresis Using Carbon Nanotube Electrodes

“…Conventionally, there are many types of separation methods to capture particles dispersed in liquid; for example, filtering (Lorenzen et al, 2014;Ong et al, 2014;Iritani et al, 2015;Sugiyama et al, 2015;Sun et al, 2015), sedimentation (Durst and Raszillier, 1989;Tambun et al, 2012;Zhang et al, 2015), centrifugation (Cao et al, 2014;Zhu and Liow, 2014;Teduka and Nishioka, 2015), and so forth: These separation methods have been extensively developed. Nevertheless, it is not possible to use filtering when there is no clear difference in the particle sizes.…”