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A MATHEMATICAL MODEL TO STUDY THE EFFECT OF POROUS PARAMETER ON BLOOD FLOW THROUGH AN ATHEROSCLEROTIC ARTERIAL SEGMENT HAVING SLIP VELOCITY

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This theoretical investigation focusses on blood flow through a multiple stenosed human artery under porous effects. A mathematical model is developed for estimating the effect of porous parameter on blood flow taking Harschel-Bulkley fluid model (to account for the presence of erythrocytes in plasma) and artery as circular tube with an axially non-symmetric but radially symmetric mild stenosis. The mathematical expression for the geometry of the artery with stenoses is given by the polynomial function model. The velocity slip condition is also given due weightage in the investigation. It is necessary to study the blood flow through such type of stenosis to improve the arterial system. An extensive quantitative analysis is carried out by performing large scale numerical computations of the measurable flow variables having more physiological significance. The variations of velocity profile, volumetric flow rate and pressure gradient with porous parameter are calculated numerically by developing computer codes. Their graphical representations with appropriate scientific discussions are presented at the end of the paper.

Keywords: Darcy’s number; H-B fluid model; flow flux; fluid index parameter; slip velocity; stenoses; stenotic geometry; stenotic height

Document Type: Research Article

Affiliations: 1: Founder and CEO, LEARNIKX EDUCATION, Sydney, Australia 2: Graduate Teaching Assistant Department of Mechanical Engineering Colorado State University, Fort Collins, Colorado, USA 3: Department of Mechanical Engineering Institute of Engineering & Management Salt Lake Electronics Complex, Kolkata-700091. India

Publication date: April 1, 2020

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  • The Journal of Mathematical Sciences and Computational Mathematics (JMSCM) is a peer reviewed, international journal which promptly publishes original research papers, reviews and technical notes in the field of Pure and Applied Mathematics and Computing. It focuses on theories and applications on mathematical and computational methods with their developments and applications in Engineering, Technology, Finance, Fluid and Solid Mechanics, Life Sciences and Statistics.
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