In this research work, we consider the two-dimensional time-dependent laminar hydromagnetic boundary-layer flow of a bio-magnetic fluid over a wedge using a micropolar fluid model with convective boundary conditions and taking into account the action of a transversely magnetic field. The partial differential equations that govern velocity, temperature and micro-rotation are transformed into nonlinear ordinary differential equations with similarity transformations. The findings are analytically analyzed afterward through the Adomian decomposition method (ADM) and numerically through the shooting technique based on Runge–Kutta–Fehlberg. In this study, we have considered the effect of the unsteadiness parameter \(K\), wedge angle parameter \(\beta\), Reynolds number Re, magnetic field parameter \(M\) and induced magnetic field \(h\) on the evolution of dimensionless velocity, temperature and micro-rotation of the bio-magnetic flow throughout the boundary layer. It is found that the flow separation may occur with the increase in unsteadiness parameter \(K\) and is prevented as the wedge angle parameter \(\beta\) rises. Also, results indicate that in the vicinity of the wedge surface, increasing K parameter leads to a reduction in fluid temperature and grows the micro-rotation of the blood corpuscles. Finally, comparisons between analytical and numerical data clearly show the effectiveness of the adopted analytical ADM technique.

在这项研究工作中，我们使用具有对流边界条件的微极性流体模型并考虑了横向磁场的作用，考虑了生物磁流体在楔形体上的二维时变层流磁流体边界层流。将控制速度，温度和微旋转的偏微分方程转换为具有相似变换的非线性常微分方程。随后，通过Adomian分解方法（ADM）并通过基于Runge–Kutta–Fehlberg的射击技术对结果进行分析分析。在这项研究中，我们考虑了不稳定参数\（K \），楔角参数\（\ beta \）的影响，雷诺数Re，磁场参数\（M \）和感应磁场\（h \）对整个边界层生物磁流的无量纲速度，温度和微旋转的演变。发现流动分离可能随着不稳定参数\（K \）的增加而发生，并且随着楔角参数\（\ beta \）的增加而被阻止。而且，结果表明，在楔形表面附近，K参数的增加导致流体温度的降低，并使血球的微旋转增加。最后，分析数据和数值数据之间的比较清楚地表明了所采用的分析ADM技术的有效性。