A study in nonlinear mechanical sciences on modelling has been carried out to analyse the combined effect of rotation and Darcy parameter with forced convective heat transfer on the steady flow of magnetic nanofluid over a rotating disk. The basic idea of the Neuringer–Rosensweig (NR) model has been used for the equations of motion and the governing nonlinear time-independent coupled partial differential equations together with the boundary conditions in cylindrical coordinates are transformed to a system of ordinary differential equations, via appropriate transformations. Further, the modelled system is solved by the MATLAB routine bvp4c solver package with suitable initial guesses. Besides calculating numerically, the velocity and temperature profiles with the variation of similarity parameter \(\eta \), the effects of several non-dimensional motivating parameters, such as Prandtl number Pr, Darcy parameter \(\beta \) and ferrohydrodynamic (FHD) interaction parameter B, the heat transfer rate from the surface of the disk and skin frictions are also discussed. The results for these emerging parameters are found numerically and discussed with plots.

非线性机械科学中的建模研究已经进行，以分析旋转和达西参数以及强制对流热传递对磁性纳米流体在旋转盘上的稳定流动的综合影响。Neuringer-Rosensweig (NR) 模型的基本思想已用于运动方程，控制非线性时间无关的耦合偏微分方程连同圆柱坐标中的边界条件被转换为常微分方程组，通过适当的变换。此外，建模系统通过 MATLAB 例程 bvp4c 求解器包使用合适的初始猜测进行求解。除了数值计算外，速度和温度分布随相似参数\(\eta \)，还讨论了几个无量纲激励参数的影响，如普朗特数Pr、达西参数\(\beta \)和铁流体力学 (FHD) 相互作用参数B、磁盘表面的传热率和皮肤摩擦. 这些新出现的参数的结果以数字方式找到并用绘图进行讨论。