Impacts of sinusoidal heat flux and embraced heated rectangular cavity on natural convection within a square enclosure partially filled with porous medium and Casson-hybrid nanofluid

In the current research, the influence of a sinusoidal heat flux and a heated rectangular cavity in a partially porous Casson hybrid nanofluid-filled square enclosure being affected by a constant magnetic field imposed in the x-direction having magnitude B 0, on natural convection wer...

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Main Authors: Ahlawat Anil, Sharma Mukesh Kumar, Ghachem Kaouther, Alshammari Badr M., Kolsi Lioua
Format: Article
Language:English
Published: De Gruyter 2025-05-01
Series:Open Physics
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Online Access:https://doi.org/10.1515/phys-2025-0142
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Summary:In the current research, the influence of a sinusoidal heat flux and a heated rectangular cavity in a partially porous Casson hybrid nanofluid-filled square enclosure being affected by a constant magnetic field imposed in the x-direction having magnitude B 0, on natural convection were investigated numerically. A rectangular heated cavity having width H/5 and height H/2 was positioned in the middle of the square enclosure. The sinusoidal heat flux of length H/2 is positioned centrally at the enclosure’s bottom wall, although the top wall is at a lower temperature, say T c, and the rest of the enclosure was insulated. The finite-difference method, combined with the successive over relaxation, successive under relaxation, and Gauss–Siedel techniques, is employed to address the challenge of solving the nonlinear coupled governing partial differential equations of motion and energy. Numerical calculations were carried out using the values of the relevant parameters in the range 0 ≤\le Ha ≤\le 15, 104 ≤\le \hspace{1em}Ra ≤\le 106, 0.00≤ϕhnf≤0.040.00\le {{\rm{\phi }}}_{{\rm{hnf}}}\le 0.04, 10−5 ≤Da\le {\rm{Da}} ≤\le 10−3, 0.1 ≤\le γ\gamma ≤\le 1, 4 ≤\le N ≤\le 12. The Kirpichev heat number (Ki=1{K}_{i}=1) and Prandtl number (Pr = 6.26) are fixed throughout the study. Contour plots for isotherms and streamlines were plotted to ascertain the impacts of distinct factors on them. The results of this investigation suggest that the heat transfer rate rises as ϕhnf{{\rm{\phi }}}_{{\rm{hnf}}}, Ra, and γ\gamma rise and reduce as the Ha and N rises. Finally, it has been observed that decreasing the heated rectangular cavity’s aspect ratio leads to a substantial enhancement in heat transfer from both the heat flux and the heated rectangular cavity.
ISSN:2391-5471