The two-dimensional unsteady radiative stagnation point flow of a Casson fluid is considered across a permeable stretching surface subject to a non-uniform heat source. Furthermore, the association of wall suction and aligned magnetic field have been examined with the slip velocity. These condition leads to the mathematical model of the nonlinear partial differential equations (PDEs), which are initially changed to the dimensionless ordinary differential equations (ODEs) with the use of similarity transformations. The MATLAB function bvp4c was used to resolve the subsequent nonlinear ODEs and the solution has been estimated in terms of temperature, friction drag, Nusselt number and velocity of fluid which are determined under the influence of smallest suitable values of the relevant flow parameters. It appears that the friction drag escalates with the strength of suction, Casson parameter and magnetic field, while the Nusselt number decays with the escalation of Eckert number, however it improves with the higher values of the radiation and suction parameter. Additionally, the flow velocity decreases with the rising values of porosity parameter and inclination angle however it enhances with the boosting values of slip parameter. The temperature profile correspondingly enhances with the rising values of radiation parameter, Boit number, and Ecker number.

卡森流体的二维非定常辐射驻点流被认为是穿过受非均匀热源影响的可渗透拉伸表面。此外，壁吸力和定向磁场的关联已与滑移速度进行了研究。这些条件导致非线性偏微分方程 (PDE) 的数学模型，最初通过使用相似变换将其更改为无量纲常微分方程 (ODE)。MATLAB 函数 bvp4c 用于求解后续非线性常微分方程，并根据温度、摩擦阻力、努塞尔数和流体速度估计了该解，这些是在相关流动参数的最小合适值的影响下确定的。摩擦阻力似乎随着吸力强度、卡森参数和磁场的增加而增加，而努塞尔数随着埃克特数的增加而衰减，但随着辐射和吸力参数的增加而提高。此外，流速随着孔隙度参数和倾角的增大而减小，但随着滑移参数的增大而增大。随着辐射参数、Boit 数和 Ecker 数的增加，温度分布相应地增强。流速随着孔隙度参数和倾角的增大而减小，但随着滑移参数的增大而增大。随着辐射参数、Boit 数和 Ecker 数的增加，温度分布相应地增强。流速随着孔隙度参数和倾角的增大而减小，但随着滑移参数的增大而增大。随着辐射参数、Boit 数和 Ecker 数的增加，温度分布相应地增强。