Abstract The aim of this work was to study the enhancement of thermal transportation in Carreau Yasuda liquid passed over a vertical surface in the presence of magnetic dipole. A mixture of tri-hybrid nanoparticles (Al 2 O 3 , MoS 3 , TiO 3 ) {\text{(Al}}_{2}{\text{O}}_{3}\text{,}\hspace{.25em}{\text{MoS}}_{3}{\text{, TiO}}_{3}\text{)} is inserted into the Carreau Yasuda liquid. The transport phenomenon of heat is derived in the presence of heat source/sink contribution. The concept boundary layer theory is engaged to derive the mathematical expression for momentum and energy in the form of coupled partial differential equations. The derivations are transformed into a set of coupled nonlinear ordinary differential equations (ODEs) with the help of suitable similarity transformation. These converted ODEs have been handled numerically via finite element method. The grid-independent analysis is established for 300 elements. The impact of numerous involved parameters on temperature and velocity solution is plotted and their contribution is recorded. Temperature profile is inclined versus the higher values of heat generation and viscous dissipation numbers while thermal layers are also increasing the behavior. A vital role of magnetic dipole is examined to raise the production of thermal layers but declination is noticed in flow profile.

中文翻译：

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使用三元杂化纳米材料的发动机油对 Carreau Yasuda 液体磁偶极子的影响

摘要 这项工作的目的是研究在磁偶极子存在的情况下，Carreau Yasuda 液体通过垂直表面时热传输的增强。三杂化纳米粒子（Al 2 O 3 ，热量的传输现象是在存在热源/汇贡献的情况下得出的。概念边界层理论用于以耦合偏微分方程的形式推导出动量和能量的数学表达式。在适当的相似变换的帮助下，这些推导被转化为一组耦合的非线性常微分方程 (ODE)。这些转换后的 ODE 已通过有限元方法进行数值处理。为 300 个元素建立了与网格无关的分析。绘制了许多涉及的参数对温度和速度解的影响，并记录了它们的贡献。温度曲线相对于较高的热量产生和粘性耗散值是倾斜的，而热层也在增加行为。