International Journal of Research in Environmental Studies
ISSN: 2059-1977
Vol. 5(2), pp. 36-41, June 2018

Developing cake equation for municipal waste from Kaduna metropolis

S. Yusuf* and J. O. Ademiluyi

Department of Civil Engineering, University of Nigeria, Nsukka, Nigeria.

*To whom correspondence should be addressed. E-mail:

Received 12 March, 2018; Received in revised form 06 June, 2018; Accepted 11 June, 2018.


Dewatering, Sludge, Mass balance equation, Polynomials.

Dewatering and drying sludge in order to get the cake is a process that requires some time, depending on the volume and type of the sludge. A dewatering analysis was carried out from a municipal sewage sample collected from Unguwar Sarki area of Kaduna Metropolis, up to the level of obtaining a cake. Although the sludge used in this study was from a municipal waste, it is a bit thick because it is sometimes stagnant in an open drain. The dewatering process was done using dry beds. The t/v verse volume and other relevant graphs were plotted. Using advanced mathematics, an equation was proposed from mass balance equation, to calculate the cake concentration. Also, Matlab was used to plot a graph of the cake concentration; and another cake equation was proposed with Matlab polynomials as the source. The proposed cake equation was given a trial by substituting variables that were obtained in the laboratory works into the equation and a relevant result was obtained.

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