1 AIT Asian Institute of Technology

Mathematical modelling of filtration : modifications and applicability in real water treatment

AuthorKrishna, Manandhar Uttam
Call NumberAIT Thesis no.EV-90-2
Subject(s)Water--Purification--Filtration
NoteA thesis submitted in partial fulfillment of the requirements of Master of Engineering, School of Engineering and Technology
PublisherAsian Institute of Technology
AbstractMost of the mathematical models of deep bed filtration had been restricted t o s ingle layered media of uniform size operating with constant influent concentration and single influent particle size at constant filtration rate. But this is not t h e case in reality. Therefore , in this study, modified O ' Melia-Ali mode l based on particle collector concept and detachment mech an ism has been extended to incorporate these factors. Media size gradation was considered in the model by assuming that media size varies l in early with the depth in the direction o f flow. The removal efficiency equations were solved numerically by dividing the filter into infinitesimal depth increments. and making time increments to cover the who l e filter r un time. For each depth increment, it is checked which me di a layer of t h e multi media filter it lies in , and the corresponding media characteristics were considered. Th u s the multi media characteristics has been incorporated in the model. Similarly, the model has been modified to varying influent concentration based on two basic assumptions that the variation in influent concentration is negligible during short time interval, and the retention time of the f1uid in the fi1ter media is . negligible compared to the total filtration time. Also the suspended particle size distribution was considered. The improvement of removal efficiency of finer particles in presence of coarser ones in suspension was assumed to be due to the fact that some of the retained coarser particles ·in addition to finer particles act as "particle collectors " in the removal of finer particles. This study gives an approach which reduces the number of model parameters to be estimated by grouping different values of t he model coefficients for particles of different sizes with relations of the form, ap= APB1*dp APB2 and 2= BET1*dp BET2. The model has been teste d with extensive experimental data obtained from pilot scale filtration studies in Bangkhaen Water Treatment Plant for the case of media size gradation and varying influent concentration . The predicted results fit reasonably well with the experimental one. For the case of particle size distribution, data from Antwerp Water Works (Center for Water Research, Belgium) has been used. The prediction was better for the case of finer particles compared to the bigger ones; the predicted curves having more similar trends as the experiment a l ones during the ripening stage t h a n during the breakthrough. For the case of declining rate , the water balance equation was included to solve for unknown filtration rate. The model could not be verified for the case of declining rate filtration due to unavailability of experimental data in p roper format. Th is has been used to see the behaviour of a hypothetical case formulated , which indicated two major advantages of declining rate filtration over constant rate filtration. They are , prolonged working period and better filtrate quality for the same terminal headless development. Finally, the empirical relations developed for Bangkhaen Water Treatment Plant pilot scale filter data were used to illustrate its applicability for the filter optimization.
Year1990
TypeThesis
SchoolSchool of Environment, Resources, and Development (SERD)
DepartmentOther Field of Studies (No Department)
Academic Program/FoSEnvironmental Engineering and Management (EV)
Chairperson(s)Vigneswaran, Saravanamuthu
Examination Committee(s)Verink, Johan ;Schroder, Hans
Scholarship Donor(s)The Royal Danish Government
DegreeThesis (M.Eng.) - Asian Institute of Technology, 1990


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