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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 85, 2024 - Issue 6
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Articles

RSM-based sensitivity analysis of hybrid nanofluid in an enclosure filled with non-Darcy porous medium by using LBM method

Kothuru Venkatadria Department of Mathematics, Indian Institute of Information Technology Sri City, Chittoor, AP, India
,
Hakan Fehmi Öztopb Department of Mechanical Engineering, Technology Faculty, Fırat University, Elâzığ, Turkey;c Department of Medical Research, P.R. China Medical University Hospital, P.R. China Medical University, Taichung, TaiwanCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-2161-0639
ORCID Icon,
Vallampati Ramachandra Prasadd Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India
,
Settu Parthiband Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India
&
Anwar Osman Bége Department of Mechanical and Aeronautical Engineering, SEE, Multi-Physical Engineering Sciences Group, Salford University, Manchester, UK
Pages 875-899 | Received 14 Nov 2022, Accepted 09 Mar 2023, Published online: 07 Apr 2023
 
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Abstract

The emphasis of this study is the numerical analysis via D2Q9-based Lattice Boltzmann Method of free convection MHD non-Darcy flow in hybrid nanofluid (TiO2/Cu–water) occupying a differentially heated square enclosure. A key novelty of the work is the inclusion of a response surface methodology (RSM)-based sensitivity analysis. The current investigation has been done considering the variation in Rayleigh number (103 ≤ Ra ≤ 106), Darcy number (0.0001 ≤ Da ≤ 0.1), and Hartmann number (0 ≤ Ha ≤ 50). From RSM, high Darcy parameter, low volumetric fraction, and low Hartmann number are identified as the optimum functioning conditions for heat transfer rates.

Acknowledgment

The authors are grateful to both reviewers for their comments which have served to improve the clarity of the article.

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