In this work, we implement a relatively new analytical technique, Exp-Function method, for solving special form of generalized nonlinear Radhakrishnan, Kundu and Laskshmanan equation (RKL), which may contain highly nonlinear terms. This method can be used as an alternative to obtain analytic and approximate solutions of different types of differential equations applied in engineering mathematics. Some numerical examples are presented to illustrate the efficiency and reliability of Exp-Function method. It is predicted that Exp-Function method can be found widely applicable in engineering problems.

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In the present study, an anaerobic continuous stirred tank reactor (ACSTR) with consortium of mixed culture was operated continuously for a period of 110 days. The experiments were performed with three different hydraulic retention times and by varying initial phenol concentrations between 100 to 1000 mg/L. A maximum phenol removal was observed at a hydraulic retention time (HRT) of 4 days, with an organic loading rate (OLR) of 170.86 mg/L.d. At this condition, phenol removal rate of 89% was achieved. In addition, the chemical oxygen demand (COD) removal corresponds to phenol removal. Additional operating parameters such as pH, MLSS and biogas production rate of the effluents were also measured. The present study provides valuable information to design an anaerobic ACSTR reactor for the biodegradation of phenolic wastewater

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