Microchannel Mixing, Entropy and Multifractals

Document Type

Conference Proceeding

Publication Date


Publication Title

Technical Proceedings of the 2006 NSTI Nanotechnology Conference and Trade Show,


Microfluidic systems operate in a pressure driven flow regime with no moving parts to drag the fluids. Our research aims at developing rigorous assessment and quantification tools of mixing in microchannels. The tools are based on Shannon and Renyi entropies and on multifractal dimensions. We determine the multifractal dimensions for the published images of mixing of a fluorescent and a non-fluorescent fluid in a microchannel. Our direct analysis of the experimental data from the staggered herringbone mixer mixer demonstrates the adaptability of the entropy and multifractal dimensions to both simulations and experiments.