Abstract

AbstractCompletely mixed tanks in series are often used in water and wastewater treatment processes and surface‐water quality modelling. Hydraulic retention time, which describes the overall hydraulic performance of the tanks, is one of the main parameters in the design and operation of treatment processes and modelling of the surface‐water quality. Differential equations to calculate the hydraulic retention time of completely mixed tanks in series under unsteady flow were derived in this study, and the equations were subsequently used to evaluate the hydraulic performance of tanks under a step change inflow rate and a cyclical flow rate, respectively. For a step change in flow rate, the differential equations were solved analytically using a recursive method. For a cyclical hydraulic loading, computer simulation was carried out using the Runge‐Kutta method with adaptive stepsize control.

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