Effects of Stenosis and Dilatation on Flow of Blood Mixed with Suspended Nanoparticles: A Study Using Homotopy Technique
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Department of Mathematics, Malla Reddy College of Engineering for Women, Hyderabad, Telangana, India
Department of Mathematics, T.K.R. College of Engineering and Technology, Hyderabad, 500097, Telangana, India
Department of Mathematics, B.L.D.E.A’s V.P. Dr. P.G. Halakatti College, of Engineering and Technology, Vijayapur 586103, Karnataka, India
Discipline of Mathematics, Indian Institute of Technology, Indore-453552, Madya-Pradesh, India
Indian Institute of Engineering Science and Technology, Shibpur, West Bengal, India
Online publication date: 2021-01-29
Publication date: 2021-03-01
International Journal of Applied Mechanics and Engineering 2021;26(1):251-265
The paper deals with a theoretical study on blood flow in a stenosed segment of an artery, when blood is mixed with nano-particles. Blood is treated here as a couple stress fluid. Stenosis is known to impede blood flow and to be the cause of different cardiac diseases. Since the arterial wall is weakened due to arterial stenosis, it may lead to dilatation /aneurysm. The homotopy perturbation technique is employed to determine the solution to the problem for the case of mild stenosis. Analytical expressions for velocity, shear stress at the wall, pressure drop, and flow resistance are derived. The impact of different physical constants on the wall shear stress and impedance of the fluid is examined by numerical simulation. Streamline patterns of the nanofluid are investigated for different situations.
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