Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation

M. M. Bhatti; Efstathios E. Michaelides; M. M. Bhatti; Efstathios E. Michaelides

doi:10.3934/mine.2023051

Mathematics in Engineering

2023, Volume 5, Issue 3: 1-19. doi: 10.3934/mine.2023051

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Research article

Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation

M. M. Bhatti ^{1
,
,},
Efstathios E. Michaelides ²

1.
College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China
2.
Department of Engineering, TCU, Fort Worth, TX, USA

Received: 13 October 2021 Revised: 17 July 2022 Accepted: 16 August 2022 Published: 24 August 2022

The focus of the article is the electro-magneto-hydrodynamics of an Oldroyd 6-constants fluid flow through parallel micro-plates with heat transfer. The medium between the micro-plates is porous and we use the Darcy-Brinkman-Forchheimer model for it. Numerical calculations, using the shooting method, were performed to solve the non-linear equations that emanate from the modeling. The results for the velocity mechanism, the Nusselt number and the temperature distribution are graphically shown. The analysis of the problem focuses on the effects of several fluid and heat transfer parameters, such as the Hartmann number, the Brinkmann number, the Darcy-Brinkman-Forchheimer parameter, the Darcy parameter, the viscous dissipation, and the Joule heating coefficient.
- Oldroyd 6-constant fluid,
- heat transfer,
- Darcy-Brinkman-Forchheimer model,
- parallel micro-plates,
- Electro-magneto-hydrodynamic (EMHD),
- mixed convection
Citation: M. M. Bhatti, Efstathios E. Michaelides. Oldroyd 6-constant Electro-magneto-hydrodynamic fluid flow through parallel micro-plates with heat transfer using Darcy-Brinkman-Forchheimer model: A parametric investigation[J]. Mathematics in Engineering, 2023, 5(3): 1-19. doi: 10.3934/mine.2023051

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Abstract

The focus of the article is the electro-magneto-hydrodynamics of an Oldroyd 6-constants fluid flow through parallel micro-plates with heat transfer. The medium between the micro-plates is porous and we use the Darcy-Brinkman-Forchheimer model for it. Numerical calculations, using the shooting method, were performed to solve the non-linear equations that emanate from the modeling. The results for the velocity mechanism, the Nusselt number and the temperature distribution are graphically shown. The analysis of the problem focuses on the effects of several fluid and heat transfer parameters, such as the Hartmann number, the Brinkmann number, the Darcy-Brinkman-Forchheimer parameter, the Darcy parameter, the viscous dissipation, and the Joule heating coefficient.

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