The energy/heat and diffusion/mass flux occurred due to chemical potential and temperature gradient, respectively have worth in the areas of electrical power generation, solar power technology, chemical engineering, petrology, nuclear waste disposal, hydrology, high temperature processes and geoscience. In connection to this, Soret and Dufour effects on steady, incompressible, laminar flow of non-Newtonian Casson liquid over a stretching sheet in a porous medium under local thermal non-equilibrium (LTNE) conditions have been theoretically investigated in the presence of Stefan blowing and magnetic effects. The energy equations are formulated by using the LTNE, which establishes the separate temperature profiles for both fluid and solid phases. The governing equations for the flow arguments are reduced by selecting suitable similarity transformations, which are then numerically solved using the traditional Runge-Kutta- 4 (RK-4) with shooting method. The flow features in reply to the impact of the emerging parameters are inspected in detail graphically. The significant outcomes of the current study are that, the rise in values of magnetic and porosity parameters decays the velocity but improves the heat transfer. An upsurge in Dufour number decreases the heat transfer rate of both solid and liquid phases. The upsurge in Soret number diminutions the mass transfer rate.

由于化学势和温度梯度而产生的能量/热量和扩散/质量通量分别在发电、太阳能技术、化学工程、岩石学、核废料处理、水文学、高温过程和地球科学领域具有价值。与此相关，在局部热非平衡 (LTNE) 条件下，理论上研究了在 Stefan 吹气存在下，Soret 和 Dufour 对非牛顿卡森液体在多孔介质中的拉伸片上的稳定、不可压缩、层流的影响和磁效应。能量方程是通过使用 LTNE 制定的，LTNE 为流体和固相建立了单独的温度曲线。通过选择合适的相似变换来减少流动参数的控制方程，然后使用传统的 Runge-Kutta-4 (RK-4) 和射击方法对其进行数值求解。以图形方式详细检查响应新兴参数影响的流特征。当前研究的重要结果是，磁性和孔隙度参数值的增加会降低速度，但会改善传热。Dufour 数的增加降低了固相和液相的传热率。Soret 数的激增降低了传质速率。当前研究的重要结果是，磁性和孔隙度参数值的增加会降低速度，但会改善传热。Dufour 数的增加降低了固相和液相的传热率。Soret 数的激增降低了传质速率。当前研究的重要结果是，磁性和孔隙度参数值的增加会降低速度，但会改善传热。Dufour 数的增加降低了固相和液相的传热率。Soret 数的激增降低了传质速率。