Using Lambert W function and error function to model phase change on microfluidics

Anderson Bermudez Garcia

doi:10.1117/12.2049757

22 May 2014 Using Lambert W function and error function to model phase change on microfluidics

Anderson Bermudez Garcia

Proceedings Volume 9107, Smart Biomedical and Physiological Sensor Technology XI; 91070N (2014) https://doi.org/10.1117/12.2049757
Event: SPIE Sensing Technology + Applications, 2014, Baltimore, MD, United States

Abstract

Solidification and melting modeling on microfluidics are solved using Lambert W’s function and error’s functions. Models are formulated using the heat’s diffusion equation. The generic posed case is the melting of a slab with time dependent surface temperature, having a micro or nano-fluid liquid phase. At the beginning the solid slab is at melting temperature. A slab’s face is put and maintained at temperature greater than the melting limit and varying in time. Lambert W function and error function are applied via Maple to obtain the analytic solution evolution of the front of microfluidic-solid interface, it is analytically computed and slab’s corresponding melting time is determined. It is expected to have analytical results to be useful for food engineering, cooking engineering, pharmaceutical engineering, nano-engineering and bio-medical engineering.

Citation Download Citation

Anderson Bermudez Garcia "Using Lambert W function and error function to model phase change on microfluidics", Proc. SPIE 9107, Smart Biomedical and Physiological Sensor Technology XI, 91070N (22 May 2014); https://doi.org/10.1117/12.2049757

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