Effects of Stenosis and Dilatation on Flow of Blood Mixed with Suspended Nanoparticles: A Study Using Homotopy Technique-Reference-Cited by-同舟云学术

Effects of Stenosis and Dilatation on Flow of Blood Mixed with Suspended Nanoparticles: A Study Using Homotopy Technique

Published:2021-01-29 Issue:1 Volume:26 Page:251-265
ISSN:2353-9003
Container-title:International Journal of Applied Mechanics and Engineering
language:en
Short-container-title:

Author:

Sudha T.¹,Umadevi C.²,Dhange M.³,Manna S.⁴,Misra J. C.⁵

Affiliation:

1. Department of Mathematics , Malla Reddy College of Engineering for Women , Hyderabad , Telangana , India

2. Department of Mathematics, T.K.R. College of Engineering and Technology , Hyderabad 500097 , Telangana , India

3. Department of Mathematics , B.L.D.E.A’s V.P. Dr. P.G. Halakatti College, of Engineering and Technology , Vijayapur 586103 , Karnataka , India

4. Discipline of Mathematics, Indian Institute of Technology , Indore-453552, Madya-Pradesh , India

5. Indian Institute of Engineering Science and Technology , Shibpur , West Bengal , India

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Fluid Flow and Transfer Processes,Transportation,Civil and Structural Engineering

Link

https://www.sciendo.com/pdf/10.2478/ijame-2021-0015

Reference24 articles.

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2. [2] Misra J.C., Patra M. K. and Misra S.C. (1993): A non-Newtonian fluid model for blood flow through arteries under stenotic conditions.– J. Biomech., vol.26, No.9, pp.1129-1141.

3. [3] El-Shahed H.M. (2003): Pulsatile flow of blood through a stenosed porous medium under periodic body acceleration.– Appl. Math. Comput. vol.138, pp.479-488.

4. [4] Mandal P. K. (2005): An unsteady analysis of non-Newtonian blood flow through tapered arteries with a stenosis.– Int. J. Nonlin. Mech., vol.40, pp.151-164.

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