Abstract The main aim of this research work is to show the simultaneous effects of ferro-particles ( Fe 3 O 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 3 O 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 of Fe 3 O 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.

中文翻译：

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Fe 3 O 4 {\text{Fe}_{3}}{\text{O}_{4}} 粒子和热辐射对使用 ADM 的两个垂直平板之间非牛顿流自然对流的同时影响

摘要 这项研究工作的主要目的是展示铁粒子 ( Fe 3 O 4 {\text{Fe}_{3}}{\text{O}_{4}}) 和热辐射对两个垂直平板之间的非牛顿纳米流体流动的自然对流。所研究的纳米流体是通过将铁粒子 (Fe 3 O 4 {\text{Fe}_{3}}{\text{O}_{4}}) 分散在海藻酸钠 (SA) 中产生的，它被认为是一种非牛顿基液。通过 Adomian 分解方法 (ADM) 确保了对表征动态和热分布（速度/温度）的耦合非线性二阶微分方程的结果集的分辨率。此后，将获得的 ADM 结果与基于 Runge-Kutta-Feldberg 的射击数据进行比较。在这项调查中，进行了一项参数研究，显示了不同物理参数的影响，如Fe 3 O 4 {\text{Fe}_{3}}{\text{O}_{4}} 纳米粒子的体积分数、埃克特数（ E c {E_{c}}）和热辐射参数（ N)，关于速度分布、蒙皮摩擦系数、传热率和温度分布。获得的结果还显示了铁粒子相对于其他类型的标准纳米粒子的优势。另一方面，这项调查证明了所采用的分析 ADM 技术的准确性。