Abstract
The flow of blood through a multistenosed artery under the influence of external applied magnetic field is studied. The artery is modeled as a circular tube. The effect of non-Newtonian nature of blood in small blood vessels has been taken into account by modeling blood as a Casson fluid. The effect of magnetic field, height of stenosis, parameter determin- ing the shape of the stenosis on velocity field, volumetric flow rate in stenotic region and wall shear stress at surface of stenosis are obtained and shown graphically. Some important observations regarding the flow of blood in multi stenosed artery are obtained leading to medical interest.
Highlights
Stenosis narrowing of body passage tube or orifice [1] can cause series circulatory disorders by reducing or occluding the blood supply
The effect of magnetic field, height of stenosis, parameter determining the shape of the stenosis on velocity field, volumetric flow rate in stenotic region and wall shear stress at surface of stenosis are obtained and shown graphically
The actual causes of the stenosis are not known, but it has been suggested that cholesterol deposition in arterial wall and profiliferation of connective tissues may be responsible [2], vascular fluid dynamics is reported to play a significant role in the development and progression of the pathological conditions [3]
Summary
Stenosis narrowing of body passage tube or orifice [1] can cause series circulatory disorders by reducing or occluding the blood supply. The effect of a magnetic field on blood flow has been analyzed theoretically by treating blood as an electrically conductive fluid [4]. Ugulu and Abby [5] claimed that, the heat transfer and a magnetic field have a significant effect on blood flow through constricted artery. In recent paper Manadal et al [25] developed a two dimension mathematical model to study the effect of externally imposed periodic body acceleration on nonNewtonian blood flow through an elastic stenosed artery where the blood is characterized by the generalized power-law model. Our object in the present work is to study the effect of an externally applied uniform magnetic field on the multi-stenosed artery with core region. The effect of external magnetic field and other parameter has been shown graphically in these results
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