A Comparative Study of Filter Cake Yield Using Lmt Dimensional Analysis and Other Models

  IJETT-book-cover  International Journal of Engineering Trends and Technology (IJETT)          
© 2018 by IJETT Journal
Volume-61 Number-3
Year of Publication : 2018
Authors : Onwe John Ituma
DOI :  10.14445/22315381/IJETT-V61P224


MLA Style: Onwe John Ituma "A Comparative Study of Filter Cake Yield Using Lmt Dimensional Analysis and Other Models" International Journal of Engineering Trends and Technology 61.3 (2018): 149-155.

APA Style:Onwe John Ituma (2018). A Comparative Study of Filter Cake Yield Using Lmt Dimensional Analysis and Other Models. International Journal of Engineering Trends and Technology, 61(3), 149-155.

A comparative study of filter cake yields has been made by comparing a model developed from the Buckingham method of LMT Dimensional Analysis, Cake yield values from experimental work and previous researches in cake yield analyses. The model equation developed shows that the cake yield from a pressure filter (filter press) is directly proportional to the filter area of the pressure vessel, applied pressure and initial solids content of the sludge while being inversely proportional to specific resistance of the filtrate, viscosity of filtrate, compressibility coefficient of the sludge and pressing time. The new equation enables performance of a pressure filter (Filter Press) to be predicted from a simple laboratory determination of cake yields. Curves derived from the models compared show how filter cake yield depends on investigated parameters as highlighted above. A comparative study of the effects of specific resistance on the cake formed at the operating pressure of 2039.41g/cm2 shows that both the new equation and Carman’s modified equation exhibiting similar trends with specific resistance. For instance, reducing specific resistance from 1.485 Cm/g to 1.341Cm/g increased cake yields by 1.146 times, 1.258 times and 1.082 times respectively for the new model YLMT, Carman Modified equation, YCARM and the experimental values, YA. Considering the differences in the parameters tested, it is significant that they all responded similarly when compared with previous research works. Particularly, results showed that the newly derived equation gave the best result. Values obtained from Carman’s model were higher than the experimental yield values. This implied that Carman’s equation cannot be validly used to predict compressible sludge filtration process. Overall, the predicted values using the newly derived model demonstrated conformity with the experimental data with a correlation coefficient of 0.993 while correlation between values from Carman’s modified equation and experimental values was found to be 0.92.

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Cake yield, Sludge, Prediction, Pressure filter, Dimensional Analysis. Filtration,