Effect of mass transfer kinetics for maximum production of biodiesel from Jatropha Curcas oil: A mathematical approach

Roy, Priti Kumar; Datta, Siddhartha; Nandi, Sumit; Basir, Fahad Al

doi:10.1016/j.fuel.2014.05.021

Cited by 38 publications

(28 citation statements)

References 28 publications

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“…Hence, equation (27) has no positive roots. Thus, equation (26) has no positive roots as F R (0) = α 3 > 0.…”

Section: Length Of Delay and Stability Of The Systemmentioning

confidence: 99%

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Modeling of a delay induced biochemical system for product optimization

2017

Commun. Optim. Theory

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Abstract. Enzymatic reactions occur through active sites of enzymes, which combine with the substrates to form intermediate complexes and subsequently lead to product. Transformation from one intermediate to another requires time dependent conformational changes of complexes. These changes are thus often accompanied by some time delay during formation of product. Time delay due to conformational changes can be avoided by controlling suitable reaction parameters, which are better identified by mathematical modeling. In this research article, we have proposed a delay differential equation model of enzymatic reaction system and analyzed the dynamics of the system critically from analytical and numerical points of view. It has been observed that time delay affects the stability and performance characteristics of the system. A control induced delay differential equation model is derived to reduce the delay induced instability of the system which contributes product optimization.

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“…Hence, equation (27) has no positive roots. Thus, equation (26) has no positive roots as F R (0) = α 3 > 0.…”

Section: Length Of Delay and Stability Of The Systemmentioning

confidence: 99%

“…The control measure stands for reaction temperature, pressure, enzyme concentration, activation energy etc. [26]. Introducing control parameter into the model (13), we get the following system,…”

Section: The Optimal Control Problemmentioning

confidence: 99%

Modeling of a delay induced biochemical system for product optimization

2017

Commun. Optim. Theory

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“…Optimization of mechanical agitation and temperature for the evaluation of the mass transfer resistance is essential in transesterification of Jatropha oil. In this research article, we have considered a mathematical model [17] for biodiesel production and unveil the combined effect of temperature and stirring on mass transfer in different phases of biodiesel production. Using mathematical control theory, optimal profiles for temperature and stirring are derived.…”

Section: International Journal Of Engineering Mathematicsmentioning

confidence: 99%

“…In this research article, we have attenuated two key parameters of our model system, which has been studied in detail in our previous works [17,23]. We have chosen temperature and stirring as a combined parameter and study the dynamical behaviour impacted on biodiesel production due to different stirring as well as fluctuations of reaction temperature.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…This problem can be avoided by applying stirring on the system. Roy et al [4,17] successfully observed the effect of stirring on transesterification by formulating a mathematical model. Noureddini and Zhu proposed an initial mass transfer controlled region followed by a kinetically controlled region for base catalytic transesterification of sunflower oil [18].…”

Section: Introductionmentioning

confidence: 99%

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Effects of Temperature and Stirring on Mass Transfer to Maximize Biodiesel Production from Jatropha curcas Oil: A Mathematical Study

Basir

Roy

2015

International Journal of Engineering Mathematics

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Biodiesel, the most promising renewable and alternative energy, is produced through transesterification of vegetable oils. One of the most cost effective sources of biodiesel is Jatropha curcas oil. Transesterification of Jatropha oil depends significantly on reaction parameters such as reaction time, temperature, molar ratio, catalyst amount, and stirrer speed. Among these parameters temperature and stirring have noteworthy effect on mass transfer. In this research article, we have shown the simultaneous effect of temperature and stirring on mass transfer by considering a mathematical model. The optimal profiles of temperature and stirring are determined as a combined parameter, for which maximum biodiesel can be obtained. Further, we have shown that this pair exists and is unique for the optimality of the system.

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Kinetics of the production of alkyl esters by transesterification of soybean oil

Silva

Gusmão²,

Silva

et al. 2021

J Americ Oil Chem Soc

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Biodiesel was produced by transesterification from soybean oil using methanol (methanolysis) and ethanol (ethanolysis) under conditions including NaOH/alcohol 0.50% wt, molar ratio alcohol:oil = 6:1, 600 rpm, 333 K. The evolution of biodiesel and glycerol esters concentrations were obtained by gas chromatography and liquid chromatography, respectively, as a basis for the evaluation of the kinetics of the process. A mathematical model was developed to represent the batch transesterification operations, referring to a mechanism including reactive acylglycerols and intermediates, esters, and glycerol. Considering the importance of the composition of fatty esters in biodiesel, their evolution during processing was quantified. The specific reaction rates for methanolysis and ethanolysis were 0.245 and 0.275 min−1, respectively. The concentration evolution of each fatty ester of the biodiesel was predicted by the solutions of the model equations, based on specific reaction rate constants quantified in the orders of magnitude k = 0.225–0.245 min−1 for methanolysis, and k = 0.225–0.275 min−1 for ethanolysis. Selectivity and yield values of the fatty esters were calculated: it was found Si = 23.5%–25.6% and Ri = 66.3%–89.1% for methanolysis and Si = 21.8%–26.7% and Ri = 74.1%–90.6% for ethanolysis. Based on the model, predictions of the kinetic behavior of acylglycerols reactants (triacylglycerois) and intermediates (monacylglycerois, diacylglycerois) were established.

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Effect of mass transfer kinetics for maximum production of biodiesel from Jatropha Curcas oil: A mathematical approach

Cited by 38 publications

References 28 publications

Modeling of a delay induced biochemical system for product optimization

Modeling of a delay induced biochemical system for product optimization

Effects of Temperature and Stirring on Mass Transfer to Maximize Biodiesel Production from Jatropha curcas Oil: A Mathematical Study

Kinetics of the production of alkyl esters by transesterification of soybean oil

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