Power consumption in shaking flasks on rotary shaking machines: I. Power consumption measurement in unbaffled flasks at low liquid viscosity

In this first article of a series a new method is introduced that enables the accurate determination of the power consumption in a shaking flask. The method is based on torque measurements in the drive and appropriate compensation of the friction losses. The results for unbaffled shaking flasks at low viscosities are presented after varying shaking frequency, flask size, filling volume, shaking diameter, and surface quality (hydrophilic and hydrophobic) of the inner flask walls. The order of magnitude of the values of power consumption in shaking flasks is equal to, or even higher than, the values typical for agitated tank bioreactors. A physically based model equation for shaking flasks is derived that introduces a modified power number and a resulting constant as the only fitting parameter. With this equation, the measured results are correlated with sufficient accuracy. For the first time, comprehensive data for the power consumption in unbaffled shaking flasks at low viscosity is available, giving a detailed picture of the influences of the different variables.