Numerical Solution of Filtration Equations

by Arun K. Deb, (M.ASCE), Asst. Prof. of Civ. Engrg.; Bengal Engrg. Coll., Howrah, India,

Serial Information: Journal of the Sanitary Engineering Division, 1970, Vol. 96, Issue 2, Pg. 195-210

Document Type: Journal Paper


The variation of concentration of suspension and specific deposit at any depth of filter bed and time of filter run can be represented by two nonlinear partial differential equations. Complexities of these equations and filter coefficient function make it impossible to obtain analytical solutions to the filtration equations. Finite-difference methods are developed for the numerical analysis of suspension concentration, specific deposit and head loss variations with the depth of bed and filtration time. A digital computer is used to solve the finite-difference model of filter equations. Results obtained by the methods developed compare favorably with the experimental results. The methods developed should also prove useful in studies of filtration with graded and multilayer beds with variation of influent concentration.

Subject Headings: Filters | Numerical methods | Filtration | Finite difference method | Computer models | Differential equations | Numerical analysis | Head loss (fluid mechanics)

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