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Heat Transfer Research
Facteur d'impact: 0.404 Facteur d'impact sur 5 ans: 0.8 SJR: 0.264 SNIP: 0.504 CiteScore™: 0.88

ISSN Imprimer: 1064-2285
ISSN En ligne: 2162-6561

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Heat Transfer Research

DOI: 10.1615/HeatTransRes.2012004295
pages 69-94

INFLUENCE OF HEAT AND CHEMICAL REACTIONS ON HYPERBOLIC TANGENT FLUID MODEL FOR BLOOD FLOW THROUGH A TAPERED ARTERY WITH A STENOSIS

Noreen Sher Akbar
DBS&H, CEME, National University of Sciences and Technology, Islamabad, Pakistan
Sohail Nadeem
Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan
Mohamed Ali
King Saud University, College of Engineering, Mechanical Engineering Department, P. O. Box 800, Riyadh 11421, Saudi Arabia

RÉSUMÉ

In the present article, the blood flow through a tapered artery with a stenosis is analyzed by considering axially nonsymmetric but radially symmetric mild stenosis on blood flow characteristics in the presence of heat and mass transfer, assuming the flow is steady and blood is treated as hyperbolic tangent fluid. The solution of the nonlinear equations have been obtained by employing a regular perturbation technique. Perturbation solutions have been evaluated for velocity, temperature, concentration, resistive impedance, wall shear stress, and shearing stress at the stenosis throat. The quantitative behavior of the power law index m, Weissenberg number We, stenosis shape n, Brinkman number Br, Soret number Sr and maximum height of the stenosis δ for different types of tapered arteries (i.e., converging tapering, diverging tapering, nontapered artery) has been examined through graphs.


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