Mathematical Modeling of Biodiesel Production: From Ecology to Engineering | Prof Priti Kumar Roy

In this comprehensive keynote for ICWAMMA 2026, Prof Priti Kumar Roy bridges the gap between ecological agriculture and chemical engineering. This session explores the complete mathematical modeling pipeline for producing sustainable biodiesel from the Jatropha curcas plant, dividing the research into two distinct phases: ecological management of the crop and the mechanical optimization of the chemical fuel extraction.

KEY TAKEAWAYS

Formulating the Ecological Model: Understanding the mathematical interaction between healthy Jatropha plants, the Mosaic Virus, and the whitefly vector.

Integrated Pest Management: How models prove that combining bio-pesticides with impulsive chemical spraying provides the most cost-effective and environmentally friendly control of whitefly populations.

Temperature Optimization: Identifying 30 Degrees Celsius as the optimal temperature for Jatropha cultivation without allowing the whitefly vector to exponentially multiply.

Transesterification Kinetics: Breaking down the three-step chemical reaction that converts Jatropha triglyceride oil and alcohol into biodiesel and glycerol.

Mixing Intensity and Temperature: Using control theory to find the exact mechanical stirring speed and temperature required to maximize mass transfer and biofuel yield without wasting energy.

Advanced Extraction Methods: A comparative mathematical study moving from basic mechanical stirring to enzymatic catalysts, supercritical methods (using high heat and pressure without catalysts), and finally, highly efficient ultrasound technology.

CHAPTER TIMESTAMPS

00:00 - Introduction to the Mathematical Models
02:02 - Ecological Modeling: Whitefly Vector and Mosaic Virus
06:03 - Formulating the Plant-Vector Interaction Model
15:06 - Impulsive Control: Insecticide Spraying Strategies
17:48 - The Effect of Temperature on Jatropha and Whiteflies
23:37 - Integrated Pest Management: Bio-Pesticides vs. Chemical Pesticides
26:12 - Production Modeling: Transesterification of Jatropha Oil
31:51 - Understanding the Three-Step Chemical Reaction
36:40 - The Impact of Mixing Intensity and Temperature
45:31 - Comparing Chemical and Enzymatic Catalyst Methods
51:15 - Advanced Production: The Supercritical Method
53:01 - Future Tech: Ultrasound Technology for Biodiesel Production

#ICWAMMA2026 #RenewableEnergy #Biodiesel #Jatropha #MathematicalModeling #ChemicalEngineering #Biofuels #Transesterification #PestManagement #AppliedMathematics

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