Cazacliu, "Analysis of a regularized
Bingham model with pressure-dependent yield stress," Journal of Mathematical Fluid Mechanics, vol.
Bingham Model. The Bingham and Herschel-Bulkley models are commonly applied in paste rheology.
Under the effect of magnetic field, MRF is a kind of plastic fluid and confirms to
Bingham model. Similarly, magnetic liquid also conforms to
Bingham model [14].
The Ishlinsky model also transforms itself into the
Bingham model on the same condition, i.e.
As far as
Bingham model is adequate to characterize rheological properties of fresh mortar and concrete, characterization of rheological properties of cement paste demands more complex models.
If in the
Bingham model we do not take into account the damping force and take into account the constant force P in one direction--in compression phase, the tensile stress does not appear.
To describe concrete flow behavior, both yield stress and plastic viscosity, as defined by the
Bingham model, are key properties that should be determined.
The Herschel-Bulkley model is a generalized form of the
Bingham model, where the linear shear-rate dependence is replaced by a power-law behaviour.
It is also observed while dealing with
Bingham Model; three different zones in the flow domain can be identified