Collocation solution of creeping newtonian flow through sinusoidal tubes: A correction

Abstract

Greek Letters '5%) a2(x) = instantaneous mean of crystal growth rate = instantaneous variance of crystal growth rate

Simulation of the dynamics of depth filtration of non‐Brownian particles

“…The hydraulic conductance of each unit cell is calculated with the collocation Ž . method of Tilton and Payatakes 1984 , suitably modified for asymmetric unit cells. The initial pressure gradient, ٌP, is Ž chosen so as to yield the desired superficial velocity, that s .…”

Monte Carlo network simulation of horizontal, upflow and downflow depth filtration

“…This crucial observation stimulated the development of a 3-D sinusoidal pore network simulator of depth filtration (Burganos et al, 1992). The pore sizes (mouth and constriction diameters) were sampled from prescribed size distributions, and the creeping flow conductance in each pore was calculated numerically using the collocation scheme developed by Tilton and Payatakes (1984). The nodal pressure values were then determined by solving the mass bal-ance equation at the network sites.…”

Simulation of the dynamic behavior of horizontal granular filters

“…The local flow field in each unit cell is calculated using standard network analysis [31]. The collocation method [32], developed to estimate the profile of velocity and hydraulic conductance in each unit cell, has been modified to take into account solutions for the flow field in asymmetric unit cells.…”