This study discusses the impact of the nonlinear relationship between nonlinear density-temperature and density-concentration on a nanofluid flow with Arrhenius activation energy and sinusoidal wall temperature variations. The highly nonlinear partial differential equations that model the nanofluid flow are solved using the bivariate spectral local linearization method. In literature, it is known that certain thermal systems perform better at high temperatures. This performance may be influenced by the nonlinear temperature-concentration-dependent density relation, which accounts for optimal thermal and solutal transport in such systems. This study explores the impact of some physical parameters on the fluid transport properties, and the results show, among other findings, that the nonlinear density-temperature leads to increased fluid velocity. In contrast, the nonlinear density-concentration reduces the fluid speed. This study provides new insights into the impact of nonlinear density-temperature and density-concentration on fluid properties. Additionally, there is a development of destructive chemical reactions in the nanoparticle volume fraction profiles due to the Arrhenius activation energy.

中文翻译：

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具有正弦壁温的加热垂直表面上纳米流体流动的非线性密度关系和二元反应的数值研究

本研究讨论了非线性密度-温度和密度-浓度之间的非线性关系对具有 Arrhenius 活化能和正弦壁温变化的纳米流体流动的影响。使用二元谱局部线性化方法求解模拟纳米流体流动的高度非线性偏微分方程。在文献中，已知某些热系统在高温下性能更好。这种性能可能受到非线性温度-浓度依赖密度关系的影响，这说明了此类系统中的最佳热和溶质传输。本研究探讨了一些物理参数对流体传输特性的影响，结果表明，非线性密度-温度会导致流体速度增加。相反，非线性密度-浓度降低了流体速度。这项研究为非线性密度-温度和密度-浓度对流体特性的影响提供了新的见解。此外，由于 Arrhenius 活化能，纳米颗粒体积分数分布中会发生破坏性化学反应。