Abstract
Riverbank filtration (RBF) is a natural technology that is used for river water treatment. This research seeks to investigate the effect of pumping rate on the transport of colloids in RBF. However, this work considered Dissolved Organic Matter (DOM) as a nutrient for bacteria. The mathematical model consists of groundwater flow equation and colloids concentration equations. The equations were solved analytically using parameter expanding method and Eigen function expansion techniques. The results obtained are presented graphically and discussed. It was observed that increase in pumping rate value enhance both the hydraulic head and concentration of colloids which slightly reduces the quality of pumped water from RBF.
 Keywords: Riverbank filtration, analytical model, colloids, hydraulic head and pumping rat
Highlights
Riverbank filtration (RBF) is a natural technology that is used for river water treatment
The effect of hydraulic conductivity on one dimensional contaminant transport in RBF system was investigated by Mustafa et al (2018) using Green’s function approach
The results show that contaminant transport is enhanced markedly in the presence of Dissolved Organic Matter (DOM) and bacteria, and the impact of DOM on contaminant mobility is greater than that of bacteria under examined conditions
Summary
The mass balance equation for contaminant may be expressed as: ABUBAKAR, AD; OLAYIWOLA, RO; MOHAMMED, AA; COLE, AT. The mass balance equation for DOM in the aqueous phase may be expressed as: Co t. B & v are the density of bacteria and virus respectively, b & v are the volumetric fraction of bacteria and virus respectively, Kb , Kv are the linear equilibrium distribution coefficient of bacteria and virus between the aqueous phase and the solid phase respectively, Ko is the first-order decay rate coefficient of DOM, Ks is the half saturation constant, Yb and Yv is the yield coefficient of bacteria and. K virus, max is the maximum growth rate, 1 is the linear equilibrium distribution coefficient of contaminants between the aqueous phase and the solid. + Co (0, t)= 0, Method of Solution: Dimensional analysis: Equation (1) - (7) were non-dimensionalized using the following dimensionless variables t
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