Introduction of a Chaotic Dough Mixer, Part B: Chaotic Behavior and Mixing Performance
Seyed Mostafa Hosseinalipour, Amir Tohidi*, and Mahnaz Shokrpour
Department of Mechanical Engineering, Iran University of Science and Technology, Tehran, Iran
Abstract: The aim of this work is to investigate the role of chaotic advection in the mixing performance of the proposed novel mixer in the recent study of Hosseinalipour et.al. (2013). The computed flow domain calculated is used to find material point trajectories needed to calculate mixing measures in the novel dough mixer based on chaos theory. Two characteristics of a Lagrangian chaotic system (strong stretching and folding of material elements and sensitivity to initial conditions) horseshoe maps and also Poincare sections were visualized. Lyapunov exponents which quantify the exponential divergence of initially close state-space trajectories and estimate the amount of chaos presence in a system were also calculated. The results indicated that the flow filed was a combination of coexistence of both the chaotic and non-chaotic zones, with high and poor mixing performance respectively.
[Seyed Mostafa Hosseinalipour, Amir Tohidi, and Mahnaz Shokrpour. Introduction of a Chaotic Dough Mixer, Part B: Chaotic Behavior and Mixing Performance. Life Sci J 2013;10(4s):414-422] (ISSN:1097-8135).http://www.lifesciencesite.com. 63
Keywords: Dough, chaotic advection, mixing performance, stretching, Lyapunov exponent.