Heat transport and magnetohydrodynamic hybrid micropolar ferrofluid flow over a non-linearly stretching sheet

Abdul Rauf; Nehad Ali Shah; Aqsa Mushtaq; Thongchai Botmart; Abdul Rauf; Nehad Ali Shah; Aqsa Mushtaq; Thongchai Botmart

doi:10.3934/math.2023008

AIMS Mathematics

2023, Volume 8, Issue 1: 164-193. doi: 10.3934/math.2023008

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Research article

Heat transport and magnetohydrodynamic hybrid micropolar ferrofluid flow over a non-linearly stretching sheet

1.
Department of Mathematics, Air University Multan Campus, Chak 5-Faiz, Bahawalpur Road, Multan, Pakistan
2.
Department of Mechanical Engineering, Sejong University, Seoul 05006, South Korea
3.
Department of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen, 40002, Thailand

Received: 24 July 2022 Revised: 28 August 2022 Accepted: 15 September 2022 Published: 27 September 2022
MSC : 76D05, 76A02, 65L10

A stable colloid called ferrofluid is made up of tiny magnetic particles, often magnetite (Fe₃O₄), that have been bonded with an amphiphilic dispersion layer and are then suspended in a suitable liquid solvent carrier. Current industrial uses for ferrofluid include dynamic sealing, inertial and viscous damping, magnetic drug targeting, liquid microrobots, etc. In this article, we studied the heat transfer and MHD micropolar ferrofluid flow caused by non-linearly stretching surface. The results are presented for hybrid alumina- copper/ethylene glycol (${Al}_2 {O}_3$-Cu/EG) nanofluid. The governing non-linear equations describing flow are transformed into a system of ordinary differential equations using similarity transformations. Using the BVp4c method, the microstructure and inertial properties of a magnetite ferrofluid across a non-linear stretched sheet are studied. The influence of relevant parameters on stream function, velocity, micro-rotation velocity, and temperature are obtained and represented graphically. The computed results are original, and it has been observed that if we increase the magnetic parameter, the stream function and the velocity decrease, while the temperature and micro-rotation velocity increase. As the Prandtl number increases, the temperature profile decreases. It has been observed that the Nusselt number or heat transfer rate of hybrid nanofluid is better as compared to nanofluid flow.
- ferrofluid,
- nonlinearly stretching sheet,
- MHD flow,
- hybrid nanofluid,
- ferrohydrodynamic
Citation: Abdul Rauf, Nehad Ali Shah, Aqsa Mushtaq, Thongchai Botmart. Heat transport and magnetohydrodynamic hybrid micropolar ferrofluid flow over a non-linearly stretching sheet[J]. AIMS Mathematics, 2023, 8(1): 164-193. doi: 10.3934/math.2023008

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Abstract

A stable colloid called ferrofluid is made up of tiny magnetic particles, often magnetite (Fe₃O₄), that have been bonded with an amphiphilic dispersion layer and are then suspended in a suitable liquid solvent carrier. Current industrial uses for ferrofluid include dynamic sealing, inertial and viscous damping, magnetic drug targeting, liquid microrobots, etc. In this article, we studied the heat transfer and MHD micropolar ferrofluid flow caused by non-linearly stretching surface. The results are presented for hybrid alumina- copper/ethylene glycol (${Al}_2 {O}_3$-Cu/EG) nanofluid. The governing non-linear equations describing flow are transformed into a system of ordinary differential equations using similarity transformations. Using the BVp4c method, the microstructure and inertial properties of a magnetite ferrofluid across a non-linear stretched sheet are studied. The influence of relevant parameters on stream function, velocity, micro-rotation velocity, and temperature are obtained and represented graphically. The computed results are original, and it has been observed that if we increase the magnetic parameter, the stream function and the velocity decrease, while the temperature and micro-rotation velocity increase. As the Prandtl number increases, the temperature profile decreases. It has been observed that the Nusselt number or heat transfer rate of hybrid nanofluid is better as compared to nanofluid flow.

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