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

Venkatadri, Kothuru; Öztop, Hakan Fehmi; Prasad, Vallampati Ramachandra; Parthiban, Settu; Beg, OA

Abstract

The present analysis is performed to investigate the free convection MHD non-Darcy
flow in hybrid nanofluid (TiO2/Cu-water) occupying a differentially heated square closed
space. The non-dimensional governing equations for mass, momentum and energy are solved
under boundary conditions by using the D2Q9-based Lattice Boltzmann Method. A key novelty
of the work is the inclusion of an 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). It has been shown that the diagonal
length of an eddy is boosted as the Rayleigh number increases. In addition, it has been shown
that the Nusselt number tends to drop as Ha values rise. From RSM, high Darcy parameter,
low volumetric fraction and low Hartmann number are identified as the optimum functioning
conditions for heat transfer rates.

Citation

Venkatadri, K., Öztop, H. F., Prasad, V. R., Parthiban, S., & Beg, O. (2024). RSM-based sensitivity analysis of hybrid nanofluid in an enclosure filled with non-Darcy porous medium by using LBM method. Numerical Heat Transfer, Part A Applications, 85(6), 875-899. https://doi.org/10.1080/10407782.2023.2193708

• Journal Article Type: Article
• Acceptance Date: Mar 9, 2023
• Online Publication Date: Apr 7, 2023
• Publication Date: Mar 18, 2024
• Deposit Date: Mar 13, 2023
• Publicly Available Date: Apr 8, 2024
• Journal: Numerical Heat Transfer, Part A: Applications
• Print ISSN: 1040-7782
• Electronic ISSN: 1521-0634
• Publisher: Taylor and Francis
• Volume: 85
• Issue: 6
• Pages: 875-899
• DOI: https://doi.org/10.1080/10407782.2023.2193708
• Keywords: Condensed Matter Physics, Numerical Analysis
• Publisher URL: https://doi.org/10.1080/10407782.2023.2193708
• Additional Information: Additional Information : This is an Accepted Manuscript of an article published by Taylor & Francis in Numerical Heat Transfer, Part A: Applications on April 7th 2023, available at: http://www.tandfonline.com/10.1080/10407782.2023.2193708