Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study

Abumandour, Ramzy; Eldesoky, Islam M.; Abumandour, Mohamed; Morsy, Kareem; Ahmed, Mohamed M.

doi:10.3390/math10030492

Open AccessArticle

Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study

by

Ramzy Abumandour

¹,

Islam M. Eldesoky

^1,2,

Mohamed Abumandour

^3,*,

Kareem Morsy

^4,5 and

Mohamed M. Ahmed

¹

Basic Engineering Sciences Department, Faculty of Engineering, Menoufia University, Shebin El-Kom 32511, Egypt

²

Basic Sciences Department, Elmenofia Higher Institute of Engineering and Technology, Bagour 32821, Egypt

³

Department of Anatomy and Embryology, Faculty of Veterinary Medicine, Alexandria University, Alexandria 21544, Egypt

⁴

Biology Department, College of Science, King Khalid University, Abha 62529, Saudi Arabia

⁵

Zoology Department, Faculty of Science, Cairo University, Cairo 12613, Egypt

^*

Author to whom correspondence should be addressed.

Mathematics 2022, 10(3), 492; https://doi.org/10.3390/math10030492

Submission received: 10 November 2021 / Revised: 17 December 2021 / Accepted: 20 December 2021 / Published: 3 February 2022

(This article belongs to the Section E: Applied Mathematics)

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Abstract

The present investigation represents the first complete illustration of nanofluids flow. The effectiveness of wall slip and heat transfer on magnetohydrodynamic nanofluids flow over porous media in vertical stenotic artery with catheter has been analyzed. By considering the long-wavelength with low-Reynolds number approximation, a mathematical solution was derived to velocity, stream function, pressure difference, and temperature. The nanoparticle’s concentration, amplitude ratio, catheter size, and flow rate have been used to extract the pressure difference. This study analyzes the interaction effect of slip and thermal conditions on nanoparticles fluid suspension with a catheter in a vertical stenotic artery with/without the presence of magnetic field and porosity. The results are helpful for understanding the role of the engineering applications of nanofluids in biomedicine and some other applications. The results of this paper reveal that the nanoparticles concentration has little effect on the velocity, and the concentration, slipping, and porosity of the nanoparticles decreases the thermal energy.

Keywords: nanofluids flow; vertical stenotic artery; velocity

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MDPI and ACS Style

Abumandour, R.; Eldesoky, I.M.; Abumandour, M.; Morsy, K.; Ahmed, M.M. Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study. Mathematics 2022, 10, 492. https://doi.org/10.3390/math10030492

AMA Style

Abumandour R, Eldesoky IM, Abumandour M, Morsy K, Ahmed MM. Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study. Mathematics. 2022; 10(3):492. https://doi.org/10.3390/math10030492

Chicago/Turabian Style

Abumandour, Ramzy, Islam M. Eldesoky, Mohamed Abumandour, Kareem Morsy, and Mohamed M. Ahmed. 2022. "Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study" Mathematics 10, no. 3: 492. https://doi.org/10.3390/math10030492

APA Style

Abumandour, R., Eldesoky, I. M., Abumandour, M., Morsy, K., & Ahmed, M. M. (2022). Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study. Mathematics, 10(3), 492. https://doi.org/10.3390/math10030492

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Magnetic Field Effects on Thermal Nanofluid Flowing through Vertical Stenotic Artery: Analytical Study

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