A discrete six‐lump kinetic model for the thermal cracking of vacuum residue in the visbreaking process has been developed, and the time‐dependent behavior of each individual lump has been determined. A combination of the heuristic method and gradient‐based method (hybrid method) has been taken into account to optimize the parameters of the model. A new concept of objective functions has been presented and applied for optimization, so more acceptable results have been obtained. Such an approach has not been presented before. A number of 60 parameters was considered primarily, which has been reduced to 36 with the aim of flash calculation information, and optimized. The obtained results are in good agreement with experimental data. The analysis of the estimated rate constants showed that the cracking of vacuum residue to lighter products was the more dominant reaction pathway during the visbreaking process over the temperature range of 400–430 °C.
The isobaric phase equilibrium data for the binary systems
of ethanol
+ cyclopentanone, propyl butanoate + 4-methylphenol, and cyclopentanone
+ propane-1,2-diol at atmospheric pressure were measured using a modified
distillation apparatus. The Herington and Van Ness tests were employed
to confirm the thermodynamic consistency of the experimental data.
In addition, the Wilson, NRTL, and UNIQUAC models were used to correlate
experimental vapor–liquid equilibrium data. The corresponding
binary interaction parameters (BIPs) for the three models, which are
useful for the modeling and designing separation processes involving
biofuel, were obtained using a maximum likelihood objective function.
It has been confirmed that when appropriate BIPs are used in each
model, the outputs are consistent with each other and with experimental
data.
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