Open Access

ARTICLE

Magneto Thermosolutal-Aiding Free Convection in a Nanofluid-Filled-Non-Darcy Porous Annulus under Local Thermal Non-Equilibrium Approach

Abdelhakim Lahrech¹, Tahar Tayebi², Mohamed Kallel^3,*, Mehdi Hashemi-Tilehnoee^4,*, Ali J. Chamkha⁵

1 Materials and Electronic Systems Laboratory, University of Bordj Bou Arreridj, El-Anasser, 34030, Algeria
2 Mechanical Engineering Department, University of Bordj Bou Arreridj, El-Anasser, 34030, Algeria
3 Department of Physics, College of Science, Northern Border University, Arar, 73222, Saudi Arabia
4 Centre for Cooperative Research on Alternative Energies (CIC energiGUNE), Basque Research and Technology Alliance (BRTA), Alava Technology Park, Albert Einstein 48, Vitoria-Gasteiz, 01510, Spain
5 Faculty of Engineering, Kuwait College of Science and Technology, Doha, 13133, Kuwait

* Corresponding Authors: Mohamed Kallel. Email: ; Mehdi Hashemi-Tilehnoee. Email:

Computer Modeling in Engineering & Sciences 2025, 144(1), 359-385. https://doi.org/10.32604/cmes.2025.067099

Received 25 April 2025; Accepted 27 June 2025; Issue published 31 July 2025

Abstract

The study considers numerical findings regarding magneto-thermosolutal-aided natural convective flow of alumina/water-based nanofluid filled in a non-Darcian porous horizontal concentric annulus. Two equations are assumed to evaluate the thermal fields in the porous medium under Local Thermal Non-Equilibrium (LTNE) conditions, along with the Darcy-Brinkman-Forchheimer model for the flow. By imposing distinct and constant temperatures and concentrations on both internal and external cylinders, thermosolutal natural convection is induced in the annulus. We apply the finite volume method to solve the dimensionless governing equations numerically. The thermal conductivity and viscosity of the nanofluid mixture are determined utilizing Corcione’s empirical correlations, incorporating the effects of Brownian diffusion of nanoparticles. Steady-state findings are provided for a range of significant parameters, including buoyancy ratio (N = 1 to 5), Lewis (Le = 0 to 10), Rayleigh (Ra = 10² to 10⁵), Hartmann (Ha = 0 to 50), and heat generation in the nanofluid and solid phases (Q = 0 to 20) when the nanofluid flow is driven by aiding thermal and mass buoyancies at given porous medium characteristics (porosity (ε), Darcy number (Da), porous interfacial heat transfer coefficient (H), and thermal conductivity ratio (γ), to assess the thermosolutal convective circulation beside heat and solutal transfer rates in the annulus. The results reveal that internal heat generation significantly modifies the heat transport mechanism, initially reducing and then enhancing heat transfer rates as Q increases. Interestingly, increasing Le reduces heat transfer at low Q but promotes it when Q > 5, while mass transfer consistently increases with Le. The magnetic field represses heat transfer in the absence of internal heat but enhances it when internal heat is present.

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