Abstract The present mathematical simulation deals with the study of heat transfer characteristics of the shape of gold nanoparticles (Au-NPs) on blood flow past an exponentially stretching sheet using Sisko nanofluid taking into account the Biot number effect. Influences of non-linear thermal radiation and suction/injection are considered. The one-phase model is used to describe the Sisko nanofluid flow. Similarity variables are performed to convert the non-linear PDEs into ordinary ones. These equations together with initial and boundary conditions are provided in a non-dimensional form and then resolved numerically utilizing the fourth–fifth-order Runge–Kutta–Fehlberg (RKF45) technique. The attitude of diverse flow quantities is investigated and examined via the study of parameters like the Au-NP volume fraction, the non-linear stretching parameter, and the Biot number. It is found that the Biot number improves the heat transfer rate markedly. In the blowing case, the blade-shaped Au-NPs show the highest heat transfer rate; in the suction case, the contrary is observed for spherical Au-NPs.

中文翻译：

---

NP形状对对流条件下吸/吹过程中非牛顿生物纳米流体流动的影响：Sisko模型

摘要 本数学模拟研究金纳米粒子 (Au-NPs) 形状对血流通过使用 Sisko 纳米流体的指数拉伸片的传热特性，同时考虑到比奥数效应。考虑了非线性热辐射和吸入/注入的影响。单相模型用于描述 Sisko 纳米流体流动。执行相似变量以将非线性偏微分方程转换为普通偏微分方程。这些方程连同初始条件和边界条件以无量纲形式提供，然后利用四-五阶龙格-库塔-费尔伯格 (RKF45) 技术进行数值求解。通过研究 Au-NP 体积分数、非线性拉伸参数和比奥数。发现比奥数显着提高了传热率。在吹气情况下，叶片状的 Au-NPs 表现出最高的传热率；在吸力情况下，对于球形 Au-NPs 观察到相反的情况。