## The micropolar fluid model for blood flow through a tapered artery with a stenosis.(English)Zbl 1257.76183

Summary: A micropolar model for axisymmetric blood flow through an axially nonsymmetreic but radially symmetric mild stenosis tapered artery is presented. To estimate the effect of the stenosis shape, a suitable geometry has been considered such that the axial shape of the stenosis can be changed easily just by varying a parameter (referred to as the shape parameter). The model is also used to study the effect of the taper angle $${\phi}$$. Flow parameters such as the velocity, the resistance to flow (the resistance impedance), the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis (stenosis throat) have been computed for different values of the shape parameter $$n$$, the taper angle $${\phi}$$, the coupling number $$N$$ and the micropolar parameter $$m$$. It is shown that the resistance to flow decreases with increasing the shape parameter $$n$$ and the micropolar parameter $$m$$ while it increases with increasing the coupling number $$N$$. So, the magnitude of the resistance impedance is higher for a micropolar fluid than that for a Newtonian fluid model. Finally, the velocity profile, the wall shear stress distribution in the stenotic region and its magnitude at the maximum height of the stenosis are discussed for different values of the parameters involved on the problem.

### MSC:

 76Z05 Physiological flows 76A05 Non-Newtonian fluids 92C10 Biomechanics

### Keywords:

micropolar fluid; blood flow; tapered artery
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### References:

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