The objective of the present study is to understand the combustion behavior and to estimate kinetic parameters for combustion and oxy-combustion of calcined pet coke (CPC) employing thermogravimetric analysis (TGA), which is crucial for subsequent design and modeling of the combustion systems. In order to estimate the kinetics, the onset reaction temperature (ORT) is estimated using TGA for both the systems, and all subsequent experiments are conducted at temperatures higher than the ORT. The kinetic parameters viz., activation energy (E a ) and pre-exponential factor (A), are estimated using the shrinking particle model (SPM) and weight fraction model (WFM). While SPM assumes uniform particle size and first-order intrinsic kinetics, WFM is used to estimate even order of reaction besides E a and A. Prediction from SPM fits better to the data obtained from TGA, albeit with WFM estimating the order of the reaction as 0.6 in this case. The present study will be useful in employing the predicted kinetic data to design an industrial scale pet coke combustor. Artificial neural network (ANN) modeling is applied to isothermal TGA data to predict the TG curves of combustion and oxy-combustion of CPC. The ANN model predicted the TG curve with a high degree of accuracy, i.e., with a coefficient of determination in the order of 0.99999. The agreement between the experimental and predicted data substantiates the accuracy of the ANN model.
The recent theory and applications of difference operator ΔL introduced in (M. Maria Susai Manuel et al., 2012) are enriched and extended with a useful tool Δℓ-m[kℓ(n)e-k]||(m-1)ℓ+jk for finding the values of various series of discrete gamma functions in number theory. Illustrative examples show the effectiveness of the obtained results in finding the values of various gamma series.
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