Mathematical Modeling Of Acoustic Cavitation And Sericin Dissolution Kinetics In An Ultrasonic Bath Mechatronic System For Silk Extraction
Keywords:
Mathematical modeling, acoustic cavitation, sericin dissolutionAbstract
This article presents a comprehensive mathematical model of the physical processes underlying silk extraction from silkworm cocoons in an ultrasonic bath mechatronic system. Three coupled sub-models are developed and integrated: (1) an acoustic cavitation model based on the Rayleigh–Plesset equation describing bubble dynamics in the processing liquid; (2) a sericin dissolution kinetics model formulated as a mass-transfer diffusion problem with ultrasonic enhancement coefficient; and (3) a lumped-parameter thermal model of the bath accounting for heater power input, acoustic energy dissipation, and convective heat loss. The models are validated against experimental data obtained from a prototype mechatronic system operating at 28 kHz. Simulation results show that the combined model predicts sericin softening time within 6.4% of measured values, confirming its suitability for system design optimization and control algorithm development
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