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Magneto-bioconvection flow in a porous annulus between circular cylinders containing oxytactic microorganisms and NEPCM

Noura Alsedais (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia)
Amal Al-Hanaya (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia)
Abdelraheem M. Aly (Department of Mathematics, College of Science, King Khalid University, Abha, Saudi Arabia)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 21 June 2023

Issue publication date: 21 July 2023

78

Abstract

Purpose

This paper aims to investigate magnetic impacts on bioconvection flow within a porous annulus between an outer cylinder and five inner cylinders. The annulus is filled by oxytactic microorganisms and nano-encapsulated phase change materials.

Design/methodology/approach

The modified ISPH method based on the time-fractional derivative is applied to solve the regulating equations in Lagrangian dimensionless forms. The pertinent factors are bioconvection Rayleigh number Rab (1–100), circular cylinder’s radius Rc (0.1–0.3), fractional time derivative α (0.95–1), Darcy parameter Da (10−5–10−2), nanoparticle parameter ϕ (0–0.1), Hartmann number Ha (0–50), Lewis number Le (1–20), Peclet number Pe (0.1–0.75), s (0.1–0.9), number of cylinders NCylinders (1–4), Rayleigh number Ra (103–106) and fusion temperature θf (0.005–0.9).

Findings

The simulations revealed that there is a strong enhancement in the velocity field according to an increase in Rab. The intensity and location of the phase zone change in response to changes in θf. The time-fractional derivative a acting on a nanofluid velocity and flow characteristics in an annulus. The number of embedded cylinders NCylinders is playing a significant role in the cooling processes and as NCylinders increases from 1 to 4, the velocity field’s maximum reduces by almost 33.3%.

Originality/value

The novelty of this study is examining the impacts of the magnetic field and the presence of several numbers of embedded cylinders on bioconvection flow within a porous annulus between an outer cylinder and five inner cylinders.

Keywords

Acknowledgements

The authors extend their appreciation to the Deputyship for Research and Innovation, Ministry of Education in Saudi Arabia for funding this research work through the project number RI-44–0305.

Citation

Alsedais, N., Al-Hanaya, A. and Aly, A.M. (2023), "Magneto-bioconvection flow in a porous annulus between circular cylinders containing oxytactic microorganisms and NEPCM", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 33 No. 9, pp. 3228-3254. https://doi.org/10.1108/HFF-02-2023-0095

Publisher

:

Emerald Publishing Limited

Copyright © 2023, Emerald Publishing Limited

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