Abstract In this research communication, MHD time dependent stagnation point flow of non-Newtonian fluid (Carreau fluid) is addressed subject to stretchable and shrinking surface of sheet. Stagnation point flow is considered. The novel features of slip mechanisms like Brownian and thermophoresis diffusions are accounted for the modeling of energy expression. The nonlinear partial differential expressions are converted to ordinary ones in the presence of similarity transformations and then dual solutions are obtained through implementation of Runge-Kutta Fehlberg Technique (RKFT) along with Shooting method (SM). The dual solutions are also computed which elaborate the Skin fraction, Nusselt number and Sherwood number and stress model number and its they're first and second solutions. A numerical compression is also prepared to justify our solutions with the available results as a limiting case.

中文翻译：

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Carreau 纳米材料的水磁驻点流中的热量和质量传输：通过 Runge-Kutta Fehlberg 技术的双重模拟

摘要 在本研究通讯中，解决了非牛顿流体（Carreau 流体）的 MHD 时间相关驻点流动受板材可拉伸和收缩表面的影响。考虑驻点流。诸如布朗和热泳扩散等滑动机制的新特征被解释为能量表达的建模。在存在相似变换的情况下，将非线性偏微分表达式转换为普通偏微分表达式，然后通过实现 Runge-Kutta Fehlberg Technique (RKFT) 和 Shooting 方法 (SM) 获得对偶解。还计算了双重解，详细说明了皮肤分数、努塞尔特数和舍伍德数以及应力模型数，它们是第一和第二解。