Flow and mixing characteristics of a groove-embedded partitioned pipe mixer

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Flow and mixing characteristics of a groove-embedded partitioned pipe mixer Hae In Jung1, Jo Eun Park1, Seon Yeop Jung2, Tae Gon Kang1,* and Kyung Hyun Ahn2 School of Aerospace and Mechanical Engineering, Korea Aerospace University, Goyang 10540, Republic of Korea 2 Institute of Chemical Process, School of Chemical and Biological Engineering, Seoul National University, Seoul 08826, Republic of Korea (Received August 24, 2020; accepted October 7, 2020)

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We propose a groove-embedded partitioned pipe mixer (GPPM) and conduct an in-depth numerical study on the flow and mixing characteristics of the GPPM in the creeping flow regime. The GPPM is a variant of a previously reported mixer, the barrier-embedded partitioned pipe mixer (BPPM), and is designed to achieve better energy-efficient mixing compared to the BPPM. In this paper, we first introduce the working principle of the GPPM and its mixing protocols. Then, the flow system affected by mixing protocols and geometrical parameters of the GPPM is investigated using Poincaré sections. As for mixing characteristics, the flux-weighted intensity of segregation is employed for quantitative mixing analysis. It turns out that a GPPM with a proper set of design parameters can indeed lead to a globally chaotic mixing. More importantly, the best GPPM showed better mixing in terms of energy consumption compared to its counterpart, the best BPPM. Keywords: static mixer, chaotic advection, patterned surface, groove-embedded partitioned pipe mixer, numerical simulation

1. Introduction Flows utilizing patterned surfaces are employed in mixing, heat transfer, and membrane filtration systems to achieve an enhanced performance in specific applications. In microfluidic applications, patterned surfaces are employed to create lateral flows in addition to the primary axial flow along a microchannel (Stroock et al., 2002a). As far as the patterned surfaces in microfluidics are concerned, the most famous microfluidic device is the staggered herringbone mixer (SHM) (Stroock et al., 2002b). Herringbone-shaped microstructures are also used to enhance heat transfer in microchannels (Marschewski et al., 2016). Enhanced performances in mixing and heat transfer are attributed to helical flows induced by herringbone structures fabricated on the channel surface. In lab-on-a-chip applications, groove structures have influences on drag reduction due to the effective slip on the patterned surface (Ren et al., 2018). In cross-flow filtration, meanwhile, surface patterning is used as a means to mitigate membrane fouling or concentration polarization (Maruf et al., 2014; Jung and Ahn, 2019; Jung et al., 2019; Jung et al., 2020). Since the appearance of the SHM introduced by Stroock et al. (2002b), numerous experimental and numerical studies have been conducted to understand in-depth flow and mixing characteristics influenced by the geometrical parameters and the operating conditions of various micromixers with patterned grooves (Aubin et al., 2003; Kim et *Corresponding author;