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ORIGINAL PAPER
Analysis of Conjugate Mixed Convection Flow of a Nanofluid Over a Vertical Fin in Porous Media
1
Mechanical Engineering, University of Khemis-Miliana, Algeria
2
Mechanical engineering, Biomaterials and transport phenomena, Algeria
Submission date: 2025-03-14
Final revision date: 2025-05-17
Acceptance date: 2025-11-12
Online publication date: 2026-03-16
Publication date: 2026-03-16
Corresponding author
Najib Mohamed Bouaziz
Mechanical engineering, Biomaterials and transport phenomena, Pole univesitaire, 26000, Medea, Algeria
Mechanical engineering, Biomaterials and transport phenomena, Pole univesitaire, 26000, Medea, Algeria
International Journal of Applied Mechanics and Engineering 2026;31(1):92-107
KEYWORDS
TOPICS
ABSTRACT
This paper presents a detailed study of the interaction between conduction through a vertical fin and conjugate mixed convection of a nanofluid flowing in a porous medium. The fin model and the primitive partial differential equations governing the nanofluid with boundary conditions are transformed into dimensionless forms. For the nanofluid, fin, and fin-nanofluid interface equations, a second-level nonsimilarity transformation is obtained and solved by the bvp4c solver. A validation of the computational code is ensured by comparing the results to a conventional fluid. It was found that the fin temperature is strongly controllable by the geometrical parameters and thermal conductivity of the fin, while Brownian motion and thermophoresis have a moderate effect on it. In addition, low values of Nr and Ω favor the fin efficiency. An analysis on very different values of the Pr number reveals that the use of nanofluids with a suitable base fluid allows high fin dissipations. A more advantageous thermal design can be achieved by combining a nanofluid in a porous medium with a fin in specific applications. These main results provide valuable information on the necessary optimization of the fin efficiency.
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