ORIGINAL PAPER
Natural Convection Of A Casson-Type Nanorefrigerant Along A Vertical Plate Embedded In Dispersive Porous Medium
 
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Univ Médea, Faculty of Technology, Biomaterials and transport phenomena laboratory, Algeria
 
2
Univ Medea, Faculty of technology, Biomaterials and transport phenomena laboratory, Algeria
 
3
Mechanical engineering, Biomaterials and transport phenomena laboratory, Algeria
 
 
Submission date: 2025-04-19
 
 
Final revision date: 2025-05-22
 
 
Acceptance date: 2026-02-24
 
 
Online publication date: 2026-06-01
 
 
Publication date: 2026-06-01
 
 
Corresponding author
Najib Mohamed Bouaziz   

Mechanical engineering, Biomaterials and transport phenomena laboratory, Pole univesitaire, 26000, Medea, Algeria
 
 
International Journal of Applied Mechanics and Engineering 2026;31(2):88-109
 
KEYWORDS
TOPICS
ABSTRACT
To address the use of nanorefrigerants of recognized environmental interest, this research focuses primarily on the impacts of thermal dispersion and inertia effect of porous medium. Combined with nanoparticles in natural convection of Casson base nanofluid flow on an embedded vertical plate, heat transfer is then examined. Using technical similarity, the ordinary differential equations resulting from the transformation of the partial differential equations are solved by the III Lobatto discretization of finite differences method through bvp4c @Matlab. The present numerical results are compared with previously obtained similar solutions and they are in good agreement. The significant influences of nanoparticles, thermal dispersion, shape factor, inertial effects of the porous medium, Casson and Eckert parameters on the natural convection flow are highlighted. Maximum values of the Nusselt number are obtained for a high values of γ, Rad, F0 and low values of the Brownian and thermophoretic diffusions of the nanorefrigerant. Dispersion should not be neglected because of its close connection with the nonlinearity effects induced by the structure of the porous medium. Working with strong inertials effects and permeability of porous medium is more attractive.The novelty of this paper is the extended coupling of diverse phenomena combinations with taking into account the thermal dispersion. Advanced cooling systems in microelectronics, compact heat exchangers, refrigeration and solar collectors are promising for applying the present findings.
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