Purpose

Many industries use non-Newtonian ternary hybrid nanofluids (THNF) because of how well they control rheological and heat transport. This being the case, this paper aims to numerically study the Casson-Williamson THNF flow over a yawed cylinder, considering the effects of several slips and an inclined magnetic field. The THNF comprises Al₂O₃-TiO₂-SiO₂ nanoparticles because they improve heat transmission due to large thermal conductivity.

Design/methodology/approach

Applying suitable nonsimilarity variables transforms the coupled highly dimensional nonlinear partial differential equations (PDEs) into a system of nondimensional PDEs. To accomplish the goal of achieving the solution, an implicit finite difference approach is used in conjunction with Quasilinearization. With the assistance of a script written in MATLAB, the numerical results and the graphical representation of those solutions were ascertained.

Findings

As the Casson parameter β increases, there is an improvement in the velocity profiles in both chord and span orientations, while the gradients Re1/2Cf, Re1/2C¯f reduce for the same variations of β. The velocities of Casson THNF are greater than those of Casson-Williamson THNF. Approximately, a 202% and a 32% ascension are remarked in the magnitudes of Re1/2Cf and Re1/2C¯f for Casson-Williamson THNF than the Casson THNF only. When velocity slip attribute S1 jumps to 1 from 0.5, magnitude of both F(ξ,η) and Re1/2Cf fell down and it is reflected to be 396% at ξ=1, Wi=1 and β=1. An augmentation in thermal jump results in advanced fluid temperature and lower Re−1/2Nu. In particular, about 159% of down drift is detected when S2 taking 1.

Originality/value

There is no existing research on the effects of Casson-Williamson THNF flow over a yawed cylinder with multiple slips and an angled magnetic field, according to the literature.

中文翻译：

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Casson-Williamson 三元杂化纳米流体在偏航圆柱体上的流动与多次滑移的影响

 目的

许多行业使用非牛顿三元杂化纳米流体 （THNF），因为它们可以很好地控制流变和热传输。在这种情况下，本文旨在对偏航圆柱体上的 Casson-Williamson THNF 流动进行数值研究，同时考虑几个滑移和倾斜磁场的影响。THNF 由 Al₂O_{3-TiO 2-SiO 2} 纳米颗粒组成，因为它们由于导热性大而改善了热传递。

设计/方法/方法

应用合适的非相似性变量会将耦合的高维非线性偏微分方程 （PDE） 转换为无量纲偏微分方程组。为了实现解的目标，将隐式有限差分方法与准线性化结合使用。在用 MATLAB 编写的脚本的帮助下，确定了这些解的数值结果和图形表示。

 发现

随着卡森参数β的增加，和弦和跨度方向的速度分布都有所改善，而对于相同的β变化，梯度 Re1/2Cf、Re1/2C ̄f 减小。Casson THNF 的速度大于 Casson-Williamson THNF 的速度。大约，Casson-Williamson THNF 的 Re1/2Cf 和 Re1/2C ̄f 的星等比仅 Casson THNF 的 202% 和 32% 的赤经。当速度滑移属性 S1 从 0.5 跃升到 1 时，F（ξ，η） 和 Re1/2Cf 的大小都下降，在 ξ=1、 Wi=1 和 β=1 时反映为 396%。热跳跃的增强导致流体温度升高和Re-1/2Nu 降低。特别是，当 S2 取 1 时，检测到大约 159% 的向下漂移。

 原创性/价值

根据文献，目前还没有关于 Casson-Williamson THNF 流对具有多个滑移和倾斜磁场的偏航圆柱体的影响的研究。