Turbulent Velocities and Energy Spectra in Non-Baffled Mixing Vessels

Abstract

Turbulent fluctuating velocities and energy spectra were measured in non-baffled mixing vessels. Spectrum functions obtained under various conditions (location, agitator speed, vessel scale, baffled or non-baffled, flow in a pipe or vessels, water or air) were reduced to one dimensionless function, when normalized by root-mean-square velocity, u₁' and micro scale, λ_ƒ of turbulence.
Distributions of u₁' and λ_ƒ in the vessels were measured, which made it possible to calculate energy spectra at respective locations in the vessels. It was also possible to predict changes of energy spectra on scale-up, as effects of agitator speed and vessel scale on u₁' and λ_ƒ were discussed experimentally.