In this work, the mixing performance in a batch torus reactor was investigated using computational fluid dynamics (CFD)
IntroductionTorus reactor has emerged as one of the most promising devices in chemical, biochemical and environmental engineering operations. It is particularly well-suited for processes that demand rapid and uniform distribution of the reaction components, e.g., polymerization [1], and multiphase systems that require high mass and heat transfer, e.g., enzymatic and photobiological reactions [2][3][4]. The combination of the swirl flow generated by the impeller rotation with Dean vortices that appear when an axial flow occurs in the bends efficiently mixes the reactants, produces intense dispersing effects and leads to an absence of dead volumes in the reactor [5,6]. Furthermore, the loop configuration involves a low-pressure drop, which reduces power consumption for a given mixing operation [7].Sato et al. [8] were the first to study the flow pattern in the torus reactor. They developed an empirical correlation based on a simple discharge flow model to predict the mean bulk velocity as a function of the type of the impeller, blade angle, impeller diameter, impeller speed and baffle. This model indicates that the resulting flow is mainly a function of the impeller speed and the sine of the impeller blade angle. Murakami et al. [9] predicted the effect of the reactor geometry, baffles, impeller type, blade angle, impeller diameter, impeller speed and operating mode on the power consumption. They found that the power number is proportional to (sin φ) 2 in the region of high mixing Reynolds number (Re > 10 4 ); where φ is the impeller blade angle and almost independent of the baffles and operation mode. Tanaka et al. [10] used the ratio of the circulation Reynolds number to the mixing Reynolds number to explore the effect of the reactor diameter, impeller diameter, impeller speed and fluid properties on the mean bulk velocity. They also developed a new correlation relate the power consumption in the torus reactor to the impeller speed and geometrical characteristics of the reactor and the impeller. Other researchers investigated the hydrodynamic characteristics of the torus reactor using residence time distribution (RTD) technique. Belleville et al. [11] employed the axial dispersed plug flow with complete circulation to model the batch torus reactor and proposed a new correlation for the dimensionless mixing