Research Article
Apr 1970
Numerical Solution of Filtration Equations
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VIEW THE REPLYPublication: Journal of the Sanitary Engineering Division
Volume 96, Issue 2
Abstract
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.
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Published In
Journal of the Sanitary Engineering Division
Volume 96 • Issue 2 • April 1970
Pages: 195 - 210
Copyright
© 1970 American Society of Civil Engineers.
History
Published in print: Apr 1970
Published online: Feb 12, 2021
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Authors
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Arun K. Deb, M.ASCE
Asst. Prof. of Civ. Engrg., Bengal Engrg. Coll., Howrah, India
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ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.