Shape optimization on FEMLAB 3.1 platform

Ivorra, B., Is├Ębe, D., Mohammadi, B.
Mathematics and Modelling Institute, Montpellier II University, Montpellier, France

Microfluidic channel systems used in bioanalytical applications are fabricated using technologies derived from microelectronics industry including lithography, wet etching and bonding of substrates. Industrial applications of these techniques concern DNA sequencing, new drug molecules trials, pollution detection in water or food, protein folding ... Focusing on this last domain, important structural events occur on a microsecond time scale. To study their kinetics, folding reactions must be initiated at even shorter timescales. This paper discusses specific shape optimization for our new microfluidic mixer, in order to reduce its mixing time. In section 2, we introduce our algorithm and a short mathematical background. In section 3, we give the physical and mathematical modelling of our mixer using FEMLAB 3.1 platform. Section 4 presents the result achieved with our method and compare it to the initial shape mixer.