In this paper, a transient numerical model is presented to investigate the mixing phenomena in passive T-shaped barrier embedded micro-mixer (BEM) with rectangular cross-sections. The simulations are performed for two non-reactive miscible gases (i.e. oxygen and methanol). The compressibility and slip effects of the flow in the micro-channel are neglected. The model presented in this paper is used to numerically solve physical governing equations namely the continuity, momentum and specious transport equations. The equations are discritized using control volume numerical techniques. The distribution of the specious concentration within the domain is calculated. The Intensity factor is used as a criterion for mixing length. Also, the effects of the baffles’ height and span on mixing efficiency and reducing the mixing length are studied. Having baffles in the channel can substantially decrease the mixing length.

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