Calibration Formula of Rheological Parameters of Bingham Fluid in Couette Rheometer

Bingham plastic (Bingham 1922) is a non-Newtonian fluid characterized with the yield stress. It has practical applications for the modeling in many fields, e.g., food engineering, polymer modeling, hydraulic engineering, and geological modeling. Different from Newtonian fluid, Bingham plastic behaves like a solid if the stress in fluid is less than yield stress, but likes a fluid if stress is greater than yield stress. To interpret the relationship between shear stress ij  and strain-rate tensor ij e , Bingham plastic (Prager 1961) can be expressed as