Abstract

Abstract The behaviour of a filter bed is fully described by equations of continuity and kinetics. The form of the continuity equation as proposed by Iwasaki has been the subject of further studies and modifications. To date several attempts have been made to solve the modified continuity equation (also known as the exact equation) and the kinetic equation. While dealing with the inadequacies and inconsistencies of the existing methods and appreciating the difficulties associated with the analytical solutions of the exact continuity equation. Horner et al. offered a perturbation solution which is valid only for smaller values of time. In view of the need for a simple and reliable method of solution, the present study has been undertaken in which a computer aided, iterative method has been developed to solve the exact continuity equation under all times and operating conditions of the filter run.

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