The current investigation explores the impact of Darcy-Forchheimer flow and Cattaneo-Christov heat transfer of dusty tangent hyperbolic fluid over a stretching sheet. The problem of the model is represented by highly nonlinear partial differential equations which are deduced by using suitable approximations (boundary layer). The governing equations prevalent in the current problem escorted with boundary conditions are transformed into nonlinear coupled ordinary differential equations using proper similarity variables. These equations are further resolved numerically using Runge–Kutta-Fehlberg-45 method. The impacts of various parameters on velocity and temperature profiles have been depicted through graphs and the salient features have been discussed in detail. Furthermore, the numerical values of skin friction coefficient and local Nusselt number are also presented in the form of graphs and tables. It is observed that, the higher values of Prandtl number ($Pr$) reduce the temperature profile for both fluid and dust phases. In addition, the larger values of radiation parameter $(R)$ produce additional heat to operating fluid that shows associate enhancement within the temperature profile.

目前的调查探讨了 Darcy-Forchheimer 流和 Cattaneo-Christov 传热在拉伸板上的尘土切线双曲流体的影响。该模型的问题由高度非线性的偏微分方程表示，这些方程是通过使用合适的近似值（边界层）推导出来的。在边界条件的陪同下，当前问题中普遍存在的控制方程被转化为使用适当的相似变量的非线性耦合常微分方程。使用 Runge-Kutta-Fehlberg-45 方法进一步数值求解这些方程。通过图表描述了各种参数对速度和温度分布的影响，并详细讨论了显着特征。此外，皮肤摩擦系数和局部努塞尔数的数值也以图表的形式给出。据观察，普朗特数的较高值（$压力$) 降低流体和灰尘相的温度分布。此外，较大的辐射参数值$(R)$为工作流体产生额外的热量，在温度曲线内显示出相关的增强。