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DEEP BED FILTRATION WITH TIME-DEPENDENT INPUT CONDITIONS

巻 6, 発行 4, 2015, pp. 343-352
DOI: 10.1615/SpecialTopicsRevPorousMedia.v6.i4.30
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要約

This work focuses on the numerical solution of a one-dimensional continuum filtration model with time-dependent filter inlet concentration. Two different types of filter inlet concentration sources are considered. A general mass transfer that characterizes particle attachment and detachment effects is considered. The general problem is solved numerically by an efficient implicit finite-difference method. Comparisons with exact analytical solutions for special cases of the filtration model are performed and found to be in excellent agreement. A parametric study of some physical parameters is conducted and the results are presented graphically to illustrate interesting features of the solutions. It is found that the time-dependent inlet concentration sources have significant changes in the solute concentration, specific deposit, and filter efficiency at all filtration time stages compared with their corresponding constant inlet concentration source cases.

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