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The main aim of this research work is to show the simultaneous effects of ferro-particles (Fe    3O    4{\text{Fe}_{3}}{\text{O}_{4}}   ) and thermal radiation on the natural convection of non-Newtonian nanofluid flow between two vertical flat plates. The studied nanofluid is created by dispersing ferro-particles (Fe    3O    4{\text{Fe}_{3}}{\text{O}_{4}}   ) in sodium alginate (SA), which is considered as a non-Newtonian base fluid. Resolution of the resulting set of coupled non-linear second order differential equations characterizing dynamic and thermal distributions (velocity/temperature) is ensured via the Adomian decomposition method (ADM). Thereafter the obtained ADM results are compared to the Runge–Kutta–Feldberg based shooting data. In this investigation, a parametric study was conducted showing the influence of varying physical parameters, such as volumic fraction ofFe    3O    4{\text{Fe}_{3}}{\text{O}_{4}}    nanoparticles, Eckert number (E    c{E_{c}}   ) and thermal radiation parameter ( N ), on the velocity distribution, the skin friction coefficient, the heat transfer rate and the temperature distribution. Results obtained also show the advantages of ferro-particles over other types of standard nanoparticles. On the other hand, this investigation demonstrates the accuracy of the adopted analytical ADM technique.

journal of non-equilibrium thermodynamics

Simultaneous Impacts of       Fe    3      O    4     {\text{Fe}_{3}}{\text{O}_{4}}    Particles and Thermal Radiation on Natural Convection of Non-Newtonian Flow Between Two Vertical Flat Plates Using ADM