Performance of blood flow through two phase stenosed artery using Herschel-Bulkley model
Publication Date : 02/03/2016
This paper presents the study of blood flow through stenosed artery by assuming the blood as a two fluid model with the suspension of all the erythrocytes in the core region as a non-Newtonian fluid and the plasma in the peripheral layer as a Newtonian fluid. The non-Newtonian fluid in the core region of the artery is assumed as a Herschel-Bulkley fluid. Perturbation technique is used to obtain the analytic expression for wall shear stress, plug core radius, volumetric flow rate, and velocity profile. The blood flow velocity deviates with the various parameter such as shape of stenosis, non- Newtonian behavior parameter, radius of plug core ө, A, z and time etc. and this deviation of flow velocity can be reregulated by a proper use of model. It is found that the blood velocity decreases with the radial distribution for any given value of m. The ultimate numerical solution of the flow rate and wall shear stress for different values of blood flow characteristics (n, m, r, ө, δ, A) are discussed through the graph. The physical interpretation of obtain expression is shown in the present paper for the better understanding of the problem and in biomedical and bioengineering field.
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