The effective viscosity v* and the effective diffusivity of bubbles D* in a vertical bubb]ing jet in a cylindrical bath were determined from the governing equations based on the boundary layer approximation and the Boussinesq approximation. These approximations were satisfied in the buoyancy region in the vertical bubbling jet. Gasholdup and mean bubble rising velocity needed in calculations of v* and D. were measured with a two-element electro-resistivity probe, and the mean velocity of water with a laser Doppler velocimeter. The values of v* and D* were almost the sameon the jet axis in the buoyancy region and increased with an increase in the injected gas flow rate. The radial profile of v* was parabolic and that of D* was almost uniform across the bubbling jet. The profile of v. was different from the profile of v* in a single-phase turbulent free jet.
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Iguchi et al. (1992) studied this question.