TY  - JOUR
AB  - Purpose This paper aims to traitted the combined effects of ferromagnetic particles and magnetic field on mixed convection in the Falkner Skan equation using analytical solution by the Duan–Rach method.Design/methodology/approach Visualization and grouping of effects of various physical parameters such as electrical conductivity of ferro-particles (electrical conductivity calculated using Maxwell model), ferro fluid volume fraction for Magnetite-Fe3O4-water and magnetic field represented by the Hartmann number in a set of third- and second-order nonlinear coupled ordinary differential equations. This set of equations is analytically processed using the Duan–Rach Approach (DRA).Findings Obtained DRA results are validated using a numerical solution (Runge–Kutta–Fehlberg-based shooting method). The main objective of this research is to analyze the influence of physical parameters, in particular electrical conductivity, Ferrofluid volume fraction in the case of Magnetite-Fe3O4-water, in addition to the types of solid nanoparticles and Hartmann number on dynamic and thermal distributions (velocity/temperature). Results of the comparison between the numerical solution (Runge–Kutta–Fehlberg-based shooting method) and the analytical solution (DRA) show that the DRA data are in good agreement with numerical data and available literature.Originality/value The study uses Runge–Kutta–Fehlberg-based shooting method) and the analytical solution (DRA) to investigate the effect of mixed convection, in the presence of Ferro particles (Magnetite-Fe3O4) in a basic fluid (water for example) and subjected to an external magnetic field on the Falkner–Skan system.
VL  - 29
IS  - 2
SN  - 0961-5539
DO  - 10.1108/HFF-03-2018-0105
UR  - https://doi.org/10.1108/HFF-03-2018-0105
AU  - Kezzar Mohamed
AU  - Boumaiza Nawel
AU  - Tabet Ismail
AU  - Nafir Nourreddine
PY  - 2019
Y1  - 2019/01/01
TI  - Combined effects of ferromagnetic particles and magnetic field on mixed convection in the Falkner-Skan system using DRA
T2  - International Journal of Numerical Methods for Heat & Fluid Flow
PB  - Emerald Publishing Limited
SP  - 814
EP  - 832
Y2  - 2024/05/10
ER  -