ON THE BLOCKING FORCE OF STEADY-STATE FLOW OF HERSCHEL-BULKLEY FLUID

The paper is devoted to the study of the blocking force of Herschel-Bulkley fluid in the case of steady-state flow. To this aim, we consider a mathematical model which describes the steady-state flow of a Herschel-Bulkley fluid in a bounded domain. We give the mathematical formulation of the blockage phenomenon and we establish the existence of blocking force. We also focus on behaviour of the flow with respect to the blocking force.