This paper explores the impact of thermal radiation on boundary layer flow of dusty hyperbolic tangent fluid over a stretching sheet in the presence of magnetic field. The flow is generated by the action of two equal and opposite. A uniform magnetic field is imposed along the y-axis and the sheet being stretched with the velocity along the x-axis. The number density is assumed to be constant and volume fraction of dust particles is neglected. The fluid and dust particles motions are coupled only through drag and heat transfer between them. The method of solution involves similarity transformation which reduces the partial differential equations into a non-linear ordinary differential equation. These non-linear ordinary differential equations have been solved by applying Runge-Kutta-Fehlberg forth-fifth order method (RKF45 Method) with help of shooting technique. The velocity and temperature profile for each fluid and dust phase are aforethought to research the influence of assorted flow dominant parameters. The numerical values for skin friction coefficient and Nusselt number are maintained in Tables 3 and 4. The numerical results of a present investigation are compared with previous published results and located to be sensible agreement as shown in Tables 1 and 2. It is scrutinized that, the temperature profile and corresponding boundary layer thickness was depressed by uplifting the Prandtl number. Further, an increase in the thermal boundary layer thickness and decrease in momentum boundary layer thickness was observed for the increasing values of the magnetic parameter.

中文翻译：

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在存在热辐射和磁场的情况下，粉尘双曲线正切流体在拉伸板上的流动和传热

本文探讨了在磁场作用下，热辐射对拉伸板上的多灰尘双曲线正切流体边界层流动的影响。流是由两个相等且相反的作用产生的。沿y轴施加均匀的磁场，并且片材沿x轴以速度拉伸。假定数密度是恒定的，而灰尘颗粒的体积分数被忽略。流体和灰尘颗粒的运动仅通过它们之间的阻力和热传递而耦合。解决方法包括相似性转换，该转换将偏微分方程简化为非线性常微分方程。这些非线性常微分方程是借助于射击技术应用Runge-Kutta-Fehlberg四阶五阶方法（RKF45方法）求解的。预先考虑了每个流体和粉尘相的速度和温度分布，以研究各种流量主导参数的影响。表3和表4中保持了皮肤摩擦系数和努塞尔数的数值。将本研究的数值结果与先前发表的结果进行比较，并如表1和表2所示，被认为是合理的。温度曲线和相应的边界层厚度通过提高Prandtl数而降低。进一步，