On the blocking limit of steady-state flow of Herschel–Bulkley fluid
Farid Messelmi · Mathematics and Mechanics of Complex Systems · 2019
This paper is devoted to the study of the blocking limit 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 the blocking limit.We also focus on behaviour of the flow with respect to the blocking limit.⊂ ޒ n .We introduce some notation and preliminaries.In addition, we derive Communicated by Carlo Marchioro.