2006
DOI: 10.1002/aheh.200500647
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The progression of flow rates in variable declining rate filter systems

Abstract: It has been demonstrated that the mathematical model of variable declining rate filters developed by Di Bernardo may be described by (z + 1) non-linear equations, where z is the number of filters in a bank. Three approximate solutions to this system of equations have been developed and then verified by comparison with numerical solution and published experimental data. Two of these solutions appeared to be very accurate, while the third showed higher, but still acceptable errors of calculation. According to th… Show more

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Cited by 6 publications
(12 citation statements)
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“…First different ratios q 1 /q avr of the maximum to average flow rates in the plant were assumed, and from them and the assumed value of Q, the required flow rate through the clean filter was calculated. Then the procedure developed by Di Bernardo [1] and then simplified by Dąbrowski [6] was used to calculate the parameters such as: c 2 , h 0 for three different values of time. Observation of head loss caused by recirculation of filtrate through porous media filters shows that compressibility of accumulated deposits is an important factor of friction to flow when approach velocities are increased [12,13].…”
Section: Experimental Principles and Methodsmentioning
confidence: 99%
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“…First different ratios q 1 /q avr of the maximum to average flow rates in the plant were assumed, and from them and the assumed value of Q, the required flow rate through the clean filter was calculated. Then the procedure developed by Di Bernardo [1] and then simplified by Dąbrowski [6] was used to calculate the parameters such as: c 2 , h 0 for three different values of time. Observation of head loss caused by recirculation of filtrate through porous media filters shows that compressibility of accumulated deposits is an important factor of friction to flow when approach velocities are increased [12,13].…”
Section: Experimental Principles and Methodsmentioning
confidence: 99%
“…Due to imperfections of operation of the filter plant, which could be minimised but never totally eliminated, the real parameters of operation H, h 0 differed somewhat from the computed values and were predicted as an average value from a series of measurements. After that the Di Bernardo [1] set of equations [6] was applied again to make the computations for the actual circumstances of the experiment. Finally the UBE model [9] was used to make similar computations.…”
Section: Experimental Principles and Methodsmentioning
confidence: 99%
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“…The DR flow control is commonly used for economical reasons and due to that the quality of the filtered effluent is generally comparable with that of the filters regulated by the flow speed controllers (Dabrowski, 2006). On the design of these filters, a hydraulic load is generally fixed in order to guarantee that the maximum rate will not exceed 1.5 times the medium rate (Di Bernardo y Sabogal, 2009).…”
Section: Introductionmentioning
confidence: 99%