This study investigated the efficacy of a novel correlation of power input, energy dissipation rate and mixing time as a potential route to identify the orbitally shaken bioreactor (OSB) system. The Buckingham’s π-theorem was used to designate and transform dimensionless Newton numbers with five relevant power input variables. These variables were empirically varied to evaluate the correlation among the dimensionless numbers. The Newton number decreases with the increased shaking frequency and filling volume. Previous work has focused on optimizing the mixing process by evaluating different shaking and agitation mixing methods. We establish a new mixing process and assessable measurement of the mixing time in the OSB. An innovative explanation of mixing time for the thermal method is proposed. The optimal mixing time is independent of the temperature of filled liquid. The dimensionless mixing number remained constant in the turbulent regime and increasing with the increased liquid viscosity and filling volume. Our findings revealed that the observed correlation is a practical tool to figure the power consumption and mixing efficiency as cell cultivation in all OSB scales and is fully validated when scaling–up system.

中文翻译：

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轨道摇动生物反应器混合性能分析

这项研究调查了一种新的输入功率，能量耗散率和混合时间相关性的功效，作为识别轨道摇动生物反应器（OSB）系统的潜在途径。白金汉的π定理用于指定和变换具有5个相关幂输入变量的无量纲牛顿数。这些变量根据经验进行变化，以评估无量纲数字之间的相关性。牛顿数随着振动频率和填充量的增加而降低。先前的工作集中在通过评估不同的摇动和搅拌混合方法来优化混合过程。我们在OSB中建立了新的混合过程并评估了混合时间。提出了热法混合时间的创新解释。最佳混合时间与填充液体的温度无关。无量纲混合数在湍流状态下保持恒定，并随着液体粘度和填充量的增加而增加。我们的发现表明，所观察到的相关性是一种实用工具，可以在所有OSB规模上计算出细胞培养时的功耗和混合效率，并且在按比例放大系统时得到了充分验证。