Blood flow through arteries in a pathological state: A theoretical study

The aim of this paper is to develop a mathematical model for studying the non-Newtonian flow of blood through a stenosed arterial segment. Herschel–Bulkley equation has been taken to represent the non-Newtonian character of blood. The problem is investigated by a combined use of analytical and numerical techniques. It is noticed that the resistance of flow and the skin-friction increase as the stenosis height increases. The results are compared with data available in the existing literature presented by previous researchers.