I am indicating as 'this property' the properties of Herschel-Bulkley model properties, like yield stress, power law index etc. These are needed to develop this model but in ANSYS fluent only during laminar viscous flow this properties are available in viscosity section of a fluid.
You are right. I checked the FLUENT, when I changed the mode to one of the turbulent models such as the k-epsilon model, some viscosity models in the material drop-down box become unavailable. I think it is better to write a UDF code to define the viscosity in any form that you want.
I think the reason is that the non-Newtonian fluids -especially viscoplastic ones- are usually high viscose; hence, the Reynolds number is small. In other words, turbulent flow of a HR fluid is not practical.