Research Article
Mar 1978
Solution of Granular Bed Filtration Equations
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VIEW THE REPLYAuthor: Avner AdinAuthor Affiliations
Publication: Journal of the Environmental Engineering Division
Volume 104, Issue 3
Abstract
Mathematical models based on filtration theory may play an important role in pilot plant studies of granular bed filtration. A semianalytical solution of such a model is presented, solving the material balance and the kinetic equations to provide concentration, specific deposit and gradient variations with filtrate volume and bed depth. A transformation of the filtration equations yields a quasilinear hyperbolic partial differential equation which is solved numerically using the method of characteristics. The method, the numerical analysis and the computer program are explained in detail. The solution enables the use of filtration equations to predict filter performance and optimize design by feeding the computer with the filtration parameters obtained by pilot experiments. It is also applicable to other accumulation processes, i.e., fixed-bed adsorption, which have a similar conservation equation.
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Published In
Journal of the Environmental Engineering Division
Volume 104 • Issue 3 • March 1978
Pages: 471 - 484
Copyright
© 1978 American Society of Civil Engineers.
History
Published in print: Mar 1978
Published online: Feb 11, 2021
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Avner Adin
Sr. Staff Member for Water Quality, Environmental Protection Service, Ministry of Interior, Jerusalem, Israel; formerly, Visiting Asst. Professor, Dept. of Civ. Engrg. and Engrg. Research Inst., Iowa State University of Sci. and Tech., Ames, Iowa
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