Liquid velocity distribution in two-phase bubble flow

An improved analytical treatment is developed which makes possible the satisfactory prediction of the liquid velocity distribution in two-phase bubble flow. In the analysis, the shear stress in the liquid phase is regarded as important. When the fluctuation of turbulent velocity can be subdivided into two components: one due to the inherent liquid turbulence independent of the existence of the bubble, (u′, υ′), and the other due to the additional liquid turbulence by the bubble agitation, (u″, υ″), it is possible to split the shear stress into two components, - ϱu′υ′ and - ϱu″υ″ corresponding to (u′, υ′) and (u″, υ″), respectively. A basic equation for the liquid velocity distribution is derived from further development of this treatment. The agreement between the measured velocity profiles and those calculated is quite close especially in the core region of a duct.