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Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: Application of bacterial growth in heart valve

Asmaa F. Elelamy (Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt)
Nasser S. Elgazery (Department of Mathematics, Faculty of Education, Ain Shams University, Cairo, Egypt)
R. Ellahi (Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan and Department of Mechanical Engineering, University of California Riverside, Riverside, California, USA)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 3 March 2020

Issue publication date: 15 October 2020

331

Abstract

Purpose

This paper aims to investigate a mathematical model with numerical simulation for bacterial growth in the heart valve.

Design/methodology/approach

For antibacterial activities and antibodies properties, nanoparticles have been used. As antibiotics are commonly thought to be homogeneously dispersed through the blood, therefore, non-Newtonian fluid of Casson micropolar blood flow in the heart valve for two dimensional with variable properties is used. The heat transfer with induced magnetic field translational attraction under the influence of slip is considered for the resemblance of the heart valve prosthesis. The numeral results have been obtained by using the Chebyshev pseudospectral method.

Findings

It is proven that vascular resistance decreases for increasing blood velocity. It is noted that when the magnetic field will be induced from the heart valve prosthesis then it may cause a decrease in vascular resistance. The unbounded molecules and antibiotic concentration that are able to penetrate the bacteria are increased by increasing values of vascular resistance. The bacterial growth density cultivates for upswing values of magnetic permeability and magnetic parameters.

Originality/value

To the best of the authors’ knowledge, this is the first study to investigate a mathematical model with numerical simulation for bacterial growth in the heart valve.

Keywords

Acknowledgements

The first two authors would like to express their special thanks of gratitude to Dr N.T. Eldabe (professor of fluid mechanics, Department of Mathematics, Faculty of Education, Ain Shams University) who gave them golden advise and encouraging comments in this research paper.

Citation

Elelamy, A.F., Elgazery, N.S. and Ellahi, R. (2020), "Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: Application of bacterial growth in heart valve", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 30 No. 11, pp. 4883-4908. https://doi.org/10.1108/HFF-12-2019-0910

Publisher

:

Emerald Publishing Limited

Copyright © 2020, Emerald Publishing Limited

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