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Simulation of Filtration on Electronic Digital Computer
Author(s) -
Ives Kenneth J.
Publication year - 1960
Publication title -
journal ‐ american water works association
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.466
H-Index - 74
eISSN - 1551-8833
pISSN - 0003-150X
DOI - 10.1002/j.1551-8833.1960.tb00554.x
Subject(s) - filtration (mathematics) , mechanics , suspension (topology) , porous medium , flow (mathematics) , position (finance) , filter (signal processing) , materials science , simulation , porosity , physics , computer science , mathematics , composite material , statistics , finance , homotopy , pure mathematics , economics , computer vision
This paper presents a study of water filters under conditions of one‐dimensional mass flow (varying only with time and position) and a concentration of suspended material too small to affect the physical properties, viscosity and density, for example, of the fluid. For simplicity, the filter medium is assumed to be isotropic and homogeneous throughout its depth, and the suspended material is assumed to consist of discrete, unisize, homogeneously dispersed particles that are approximately two orders of magnitude smaller than the pore openings. It is further assumed that the concentration of the suspended particles applied to the filter remains constant. A brief overview of the kinetics of filtration is provided, along with a discussion of the mathematics of filtration, filtration simulation and computational block, difference equations, automatic computer programming system, typical data, and complex situations. The study summary and conclusions indicate that when a fluid containing particles in suspension is filtered through a porous granular medium, particles are removed from the flow and deposited in the pores. The concentrations of particles in the flow and in the pores vary with time and position‐that is, when the flow is one‐dimensional. Such variations can be expressed by two linked partial differential equations, which, expressed in difference form, can be used to provide numerical distributions of the particles. Such distributions were obtained by using an electronic digital computer, with the program arranged so that the computer numerically simulated the filtration action. Results are given from a computer run, the operating data for which was derived from a filtration experiment.