In homogeneous multiphase flow, bulk turbulence equations are solved which are the same as the single phase equations, except that the mixture density and the mixture viscosity are used. Single phase turbulence model information is available in Turbulence Models.
For inhomogeneous multiphase flow, it is possible to solve a single turbulence field in a similar way to homogeneous flow. For details, see Homogeneous Turbulence in Inhomogeneous Flow in the CFX-Solver Modeling Guide.