The mean particle size in hindered settling of multisized particles

Simulation of sedimentation of polydisperse suspensions: A particle‐based approach

“…This approximation is based on the widespread belief that hindrance effects prevent segregation by size when ϕ 0 is sufficiently large. Though Scott and Mandersloot43 have suggested a different representative diameter, a popular choice has been that of a sphere with the same volume‐surface ratio as that of the distribution of spheres. Then d eff equals 6 × (total volume/total area), which yields d eff = 67.83 μm for the spheres used by Shannon et al8 Their sieving failed to remove a large number of very fine particles that constituted about 1.48% of the total volume and 2.86% of the total area.…”

Blood, lead and spheres: A hindered settling equation for sedimentologists based on metadata analysis

“…The settling velocity of individual non‐cohesive particles depends on the particle diameter, the particle density, the liquid density and the viscosity of the fluid. However, it is widely known that the settling velocity also depends on the particle shape and shape distribution (Baldock et al, 2004; Beňa et al, 1963; Camenen, 2007; Chianese et al, 1992; Chong et al, 1979; Cleasby & Fan, 1981; Di Felice, 1995; Dietrich, 1982; Ferguson & Church, 2004; Fouda & Capes, 1977; Komar & Reimers, 1978; Maude & Whitmore, 1958; Richardson & Zaki, 1954a; Steinour, 1944b), the presence of adjacent particles (Carey, 1987; Pal & Ghoshal, 2013; Richardson & Zaki, 1954a, 1954b) and the particle size distribution (Di Felice, 1995; Hoffman et al, 1960; Lockett & Al‐Habbooby, 1974; Maude & Whitmore, 1958; Mirza & Richardson, 1979; Richardson & Meikle, 1961; Scott & Mandersloot, 1979; Wilson, 1953).…”

Applications of polydisperse sedimentation models

“…Thus, Eqs. (3), (14), and (10) represent a consistent, unified approach to sedimentation. Patwardhan and Tien [37] proposed a model in which the effective solids concentration is different for each species.…”

“…(3) is often used for slightly polydisperse suspensions. Then, the value of u ∞ is determined by extrapolation and compared to the value calculated for some representative diameter [4,14]. The value of n depends on the Reynolds number and, to a lesser extent, on the sphere-cylinder diameter ratio.…”