This study reports the thermal analysis and species transport to manifest non-Newtonian materials flowing over linear stretch sheets. The heat transfer phenomenon is presented by the Cattaneo–Christov definition of heat flux. Mass transportation is modeled using traditional Fick’s second law. In addition, the contribution of Joule heating and radiation to thermal transmission is also considered. Thermo-diffusion and diffusion-thermo are significant contributions involved in thermal transmission and species. The physical depiction of the scenario under consideration is modeled through the boundary layer approach. Similar analysis has been made to convert the PDE model system into the respective ODE. Then, the transformed physical expressions are calculated for momentum, thermal, and species transport within the boundary layer. The reported study is a novel contribution due to the combined comportment of thermal relaxation time, radiation, Joule heating, and thermo-diffusion, which are not yet explored. Several engineering systems are based on their applications and utilization.

中文翻译：

---

利用热通量模型的更新版本在焦耳加热下非牛顿材料的辐射流：OHAM应用

这项研究报告了热分析和物质迁移，以显示非牛顿材料在线性拉伸板上流动。传热现象由Cattaneo-Christov定义的热通量表示。大众运输使用传统的菲克第二定律建模。另外，还考虑了焦耳热和辐射对热传递的贡献。热扩散和扩散热是热传递和物质的重要贡献。通过边界层方法对正在考虑的场景进行物理描述。进行了类似的分析，以将PDE模型系统转换为相应的ODE。然后，针对边界层内的动量，热和物质传输计算转换后的物理表达式。由于尚未讨论热弛豫时间，辐射，焦耳加热和热扩散的综合比例，因此报告的研究是一项新颖的贡献。几种工程系统基于其应用和利用率。