Pulsatile blood flow through a constricted porous artery

In this paper a speculative study of an incompressible Newtonian blood flow through a constricted porous channel and pulsatile nature is inspected. Porosity parameter λ is incorporated in the momentum equation. Governing nonlinear differential equations are numerically evaluated by employing the per...

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Main Authors: Uddin, Salah, Mehmood, Obaid Ullah, Mohamad, Mahathir, Mohamad, Mahmod Abd Hakim, Jamil, D. F., Roslan, Rozaini
Format: Article
Published: American Scientific Publishers 2020
Subjects:
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author Uddin, Salah
Mehmood, Obaid Ullah
Mohamad, Mahathir
Mohamad, Mahmod Abd Hakim
Jamil, D. F.
Roslan, Rozaini
author_facet Uddin, Salah
Mehmood, Obaid Ullah
Mohamad, Mahathir
Mohamad, Mahmod Abd Hakim
Jamil, D. F.
Roslan, Rozaini
author_sort Uddin, Salah
collection UTHM
description In this paper a speculative study of an incompressible Newtonian blood flow through a constricted porous channel and pulsatile nature is inspected. Porosity parameter λ is incorporated in the momentum equation. Governing nonlinear differential equations are numerically evaluated by employing the perturbation method technique for a very small perturbation parameter ε 1 such that ε ≠ 0 and with conformable boundary conditions. Numerical results of the flow velocity profile and volumetric flow rate have been derived numerically and detailed graphical analysis for different physical parameters porosity, Reynolds number and stenosis has been presented. It is found that arterial blood velocity is dependent upon all of these factors and that the relationship of fluid velocity and flow is more complex and nonlinear than heretofore generally believe. Furthermore the flow velocity enhanced with Reynolds number, porosity parameter and at maximum position of the stenosis/constriction.
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spelling uthm.eprints-60982022-01-26T06:55:22Z http://eprints.uthm.edu.my/6098/ Pulsatile blood flow through a constricted porous artery Uddin, Salah Mehmood, Obaid Ullah Mohamad, Mahathir Mohamad, Mahmod Abd Hakim Jamil, D. F. Roslan, Rozaini R855-855.5 Medical technology In this paper a speculative study of an incompressible Newtonian blood flow through a constricted porous channel and pulsatile nature is inspected. Porosity parameter λ is incorporated in the momentum equation. Governing nonlinear differential equations are numerically evaluated by employing the perturbation method technique for a very small perturbation parameter ε 1 such that ε ≠ 0 and with conformable boundary conditions. Numerical results of the flow velocity profile and volumetric flow rate have been derived numerically and detailed graphical analysis for different physical parameters porosity, Reynolds number and stenosis has been presented. It is found that arterial blood velocity is dependent upon all of these factors and that the relationship of fluid velocity and flow is more complex and nonlinear than heretofore generally believe. Furthermore the flow velocity enhanced with Reynolds number, porosity parameter and at maximum position of the stenosis/constriction. American Scientific Publishers 2020 Article PeerReviewed Uddin, Salah and Mehmood, Obaid Ullah and Mohamad, Mahathir and Mohamad, Mahmod Abd Hakim and Jamil, D. F. and Roslan, Rozaini (2020) Pulsatile blood flow through a constricted porous artery. Journal of Computational and Theoretical Nanoscience, 17 (2-3). pp. 743-749. ISSN 1546-1955 https://doi.org/10.1166/jctn.2020.8713
spellingShingle R855-855.5 Medical technology
Uddin, Salah
Mehmood, Obaid Ullah
Mohamad, Mahathir
Mohamad, Mahmod Abd Hakim
Jamil, D. F.
Roslan, Rozaini
Pulsatile blood flow through a constricted porous artery
title Pulsatile blood flow through a constricted porous artery
title_full Pulsatile blood flow through a constricted porous artery
title_fullStr Pulsatile blood flow through a constricted porous artery
title_full_unstemmed Pulsatile blood flow through a constricted porous artery
title_short Pulsatile blood flow through a constricted porous artery
title_sort pulsatile blood flow through a constricted porous artery
topic R855-855.5 Medical technology
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