Abstract The idea of the current investigation is to analyze the effect of thermal radiation and non-uniform heat source/sink on unsteady MHD micropolar fluid flow past a stretching/shirking sheet. The governing non-linear PDEs are transformed into a set of non-linear coupled ODEs which are then solved numerically by using the fourth order predictor–corrector finite difference method (PC4-FDM). The effect of non-dimensional governing parameters on momentum, angular momentum, energy and mass descriptions is examined and displayed with the aid of their graphical depictions. Also, friction factor, heat and mass transfer rates have been enumerated and shown through tables. Under some special conditions, current outcomes are compared with the existing outcomes to examine the exactness and validity of the current study. An excellent agreement is found with the existing outcomes. Finally, it is observed that velocity increases with an increase in both micro-polar parameter and thermal buoyancy parameter. In addition, for the temperature profiles opposite behavior is observed for increment in both unsteadiness parameter and thermal buoyancy parameter.

中文翻译：

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用热源和热辐射评估经过拉伸/收缩片的不稳定 MHD 微极流体流：实施四阶预测器-校正器 FDM

摘要 当前研究的想法是分析热辐射和非均匀热源/热汇对非定常 MHD 微极流体流过拉伸/收缩片的影响。控制非线性偏微分方程转换为一组非线性耦合常微分方程，然后使用四阶预测器-校正器有限差分法 (PC4-FDM) 对其进行数值求解。借助图形描述，检查和显示无量纲控制参数对动量、角动量、能量和质量描述的影响。此外，摩擦系数、传热和传质率已通过表格列举和显示。在某些特殊情况下，将当前结果与现有结果进行比较，以检验当前研究的准确性和有效性。发现与现有结果非常一致。最后，观察到速度随着微极参数和热浮力参数的增加而增加。此外，对于温度曲线，对于不稳定参数和热浮力参数的增量，观察到相反的行为。