A Casson Fluid Model for Multiple Stenosed Artery in the Presence of Magnetic Field ()

Rekha Bali, Usha Awasthi

Department of Mathematics, Harcourt Butler Technological Institute, Kanpur, India.

**DOI: **10.4236/am.2012.35066
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Department of Mathematics, Harcourt Butler Technological Institute, Kanpur, India.

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.

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R. Bali and U. Awasthi, "A Casson Fluid Model for Multiple Stenosed Artery in the Presence of Magnetic Field," *Applied Mathematics*, Vol. 3 No. 5, 2012, pp. 436-441. doi: 10.4236/am.2012.35066.

Conflicts of Interest

The authors declare no conflicts of interest.

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