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CFD Study and Regression Analysis of the MHD Mixed Convection of CNT-Water Nanofluid in a Vented Rounded Edge Rectangular Cavity Having Inner Vertical Rod Bundle

Walid Aich, Inès Hilali-Jaghdam (), Amnah Alshahrani, Chemseddine Maatki, Badr M. Alshammari and Lioua Kolsi
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Walid Aich: Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81451, Saudi Arabia
Inès Hilali-Jaghdam: Department of Computer Science, Applied College, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11432, Saudi Arabia
Amnah Alshahrani: Department of Computer Science, Applied College, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11432, Saudi Arabia
Chemseddine Maatki: Department of Mechanical Engineering, College of Engineering, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia
Badr M. Alshammari: Department of Electrical Engineering, University of Ha’il, Ha’il City 81451, Saudi Arabia
Lioua Kolsi: Department of Mechanical Engineering, College of Engineering, University of Ha’il, Ha’il City 81451, Saudi Arabia

Mathematics, 2024, vol. 12, issue 23, 1-23

Abstract: This current work provides a comprehensive Computational Fluid Dynamics (CFD) investigation of three-dimensional magnetohydrodynamic (MHD) mixed convection of carbon nanotube (CNT)-water nanofluid within a vented rectangular cavity featuring an internal vertical rod bundle with circular, square, and triangular cross-sections. The finite element method (FEM) was used to investigate the effects of key parameters, including the Richardson number (0.01 ≤ Ri ≤ 10), Hartmann number (0 ≤ Ha ≤ 100), and CNT nanoparticle concentration (0 ≤ ϕ ≤ 0.045), in relation to fluid flow and heat transfer performance. The CNT nanoparticle incorporation increases the nanofluid’s heat transfer capacity by up to 22%, with the highest average Nusselt number (Nu av ) achieved with circular rods at ϕ = 0.045, which corresponds to the higher convective heat transfer efficiency. The magnetic field further stabilizes the flow by reducing thermal convection irregularities, with a 15% improvement in temperature distribution uniformity when Ha = 100. The investigation’s outcomes reveal that due to their smoother geometries, the circular rods exhibit better thermal exchange rates compared to square and triangular rods. Moreover, a polynomial regression model is used to correlate the governing parameters and heat transfer rates, and it achieves a high R 2 of 0.964. These findings highlight the potential of CNT-water nanofluid and magnetic field applications for thermal management optimization in various engineering systems.

Keywords: three-dimensional CFD; MHD mixed convection; CNT/water nanofluid; vented rounded edge cavity; vertical rod bundle; magnetic field (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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