In this present paper, we have investigated a numerical solution to the melting heat transfer on micropolar fluid flow over a stretchable porous medium. The partial differential equations of governing flow are changed to dimension-less ordinary differential equations by using similarity transformation and then solved by the Runge-Kutta-Fehlberg fourth- and fifth-order (RKF-45) method with shooting technique. The novelty of the present study is that it considers the influence of chemical reaction and nonuniform heat source/sink in stagnation point flow over a stretching sheet. The study looks at the impacts of different nondimensional parameters, namely chemical reaction parameter, melting parameter, stretching parameter, and space- and temperature-dependent heat source/sink parameters on velocity, microrotation, temperature, and concentration distributions. Additionally, the skin-friction coefficient, Nusselt number, and Sherwood number are examined in detail and the results are depicted graphically and in tabular form to illustrate the physical importance of the study. The results show that velocity enhances with stretching parameter. The temperature reduces as melting parameter rises, while temperature increases with the stretching parameter and the space- and temperature-dependent heat source/sink parameters. The impact of the chemical reaction parameter is to increase the mass transfer rate.

中文翻译：

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存在非均匀热源/收缩的微孔流体在可拉伸多孔介质上停留点流的熔化和化学反应

在本文中，我们研究了可拉伸多孔介质上微极性流体流动时熔融传热的数值解。通过使用相似变换将控制流的偏微分方程转换为无量纲的常微分方程，然后通过Runge-Kutta-Fehlberg的四阶和五阶（RKF-45）方法利用射影技术对其进行求解。本研究的新颖之处在于它考虑了化学反应和不均匀的热源/散热片对拉伸片上滞流点的影响。这项研究着眼于不同的无量纲参数，即化学反应参数，熔融参数，拉伸参数以及与空间和温度有关的热源/散热器参数对速度，微旋转，温度，和浓度分布。此外，还详细检查了皮肤摩擦系数，努塞尔数和舍伍德数，并以图形和表格形式显示了结果，以说明研究的物理重要性。结果表明，速度随着拉伸参数的增加而提高。温度随着熔融参数的升高而降低，而温度随着拉伸参数以及与空间和温度有关的热源/散热器参数而升高。化学反应参数的影响是增加传质速率。结果表明，速度随着拉伸参数的增加而提高。温度随着熔融参数的升高而降低，而温度随着拉伸参数以及与空间和温度有关的热源/散热器参数而升高。化学反应参数的影响是增加传质速率。结果表明，速度随着拉伸参数的增加而提高。温度随着熔融参数的升高而降低，而温度随着拉伸参数以及与空间和温度有关的热源/散热器参数而升高。化学反应参数的影响是增加传质速率。