Mathematical Analysis of Casson Fluid Model for Blood Rheology in Stenosed Narrow Arteries

[摘要] The flow of blood through a narrow artery with bell-shapedstenosis is investigated, treating blood as Casson fluid. Present results arecompared with the results of the Herschel-Bulkley fluid model obtained byMisra and Shit (2006) for the same geometry. Resistance to flow and skinfriction are normalized in two different ways such as (i) with respect to thesame non-Newtonian fluid in a normal artery which gives the effect of astenosis and (ii) with respect to the Newtonian fluid in the stenosed artery which spells out the non-Newtonian effects of the fluid. It is found that theresistance to flow and skin friction increase with the increase of maximumdepth of the stenosis, but these flow quantities (when normalized with non-Newtonian fluid in normal artery) decrease with the increase of the yieldstress, as obtained by Misra and Shit (2006). It is also noticed that the resistance to flow and skin friction increase (when normalized with Newtonian fluid in stenosed artery) with the increase of the yield stress.

[学科分类] 应用数学