The current study develops a novel application of numerical computing paradigm to inspect the cumulative effects of both electric and magnetic field on a micropolar nanofluid bounded by two parallel plates in a rotating system by using Adams and Explicit Runge–Kutta (RK) solvers. The steady state micropolar nanofluidics flow has been considered between parallel plates under the Hall current effect. The conventional expressions for the governing flow in terms of system of ODEs are engaged. Adams and Explicit RK-based numerical solvers have been exploited for approximate solution of the system dynamics. Accuracy, convergence and stability analyses of both numerical schemes established their correctness. The impact of the Sherwood number on the concentration profile, Nusselt number and coefficient of skin friction on temperature and velocity profiles, respectively, have been analyzed numerically along with thermophoresis investigation, rotation, Hall current and Brownian motion of micropolar nanofluid. The effect of physical quantities including viscosity, magnetic, rotating, coupling, Brownian motion, thermophoretic and micropolar fluid parameters as well as Prandtl and Schmidt numbers has been presented.

当前的研究开发了一种新型的数值计算方法，它使用Adams和Explicit Runge-Kutta（RK）求解器来检查电场和磁场对由旋转系统中的两个平行板界定的微极性纳米流体的累积效应。在霍尔电流效应下，已经考虑了平行板之间的稳态微极性纳米流体流动。使用了关于ODE系统的控制流的常规表达式。基于Adams和Explicit RK的数值求解器已被用于系统动力学的近似解。两种数值方案的准确性，收敛性和稳定性分析都证明了它们的正确性。舍伍德数对浓度曲线，努塞尔数和皮肤摩擦系数对温度和速度曲线的影响，分别对热极性研究，微极性纳米流体的旋转，霍尔电流和布朗运动进行了数值分析。已经提出了物理量的影响，包括粘度，磁性，旋转，耦合，布朗运动，热泳和微极性流体参数以及普朗特和施密特数。