Purpose

This study aims to investigate numerically the impact of the three-dimensional convective nanoliquid flow on a rotating frame embedded in the non-Darcy porous medium in the presence of activation energy. The cross-diffusion effects, i.e. Soret and Dufour effects, and heat generation are included in the study. The convective heating condition is applied on the bounding surface.

Design/methodology/approach

The control model consisted of a system of partial differential equations (PDE) with boundary constraints. Using suitable similarity transformation, the PDE transformed into an ordinary differential equation and solved numerically by the Runge–Kutta–Fehlberg method. The obtained results of velocity, temperature and solute concentration characteristics plotted to show the impact of the pertinent parameters. The heat and mass transfer rate and skin friction are also calculated.

Findings

It is found that both Biot numbers enhance the heat and mass distribution inside the boundary layer region. The temperature increases by increasing the Dufour number, while concentration decreases by increasing the Dufour number. The heat transfer is increased up to 8.1% in the presence of activation energy parameter (E). But, mass transfer rate declines up to 16.6% in the presence of E.

Practical implications

The applications of combined Dufour and Soret effects are in separation of isotopes in mixture of gases, oil reservoirs and binary alloys solidification. The nanofluid with porous medium can be used in chemical engineering, heat exchangers and nuclear reactor.

Social implications

This study is mainly useful for thermal sciences and chemical engineering.

Originality/value

The uniqueness in this research is the study of the impact of activation energy and cross-diffusion on rotating nanoliquid flow with heat generation and convective heating condition. The obtained results are unique and valuable, and it can be used in various fields of science and technology.

中文翻译：

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活化能和交叉扩散效应对非达西多孔介质中 3D 对流旋转纳米液体流动的影响

 目的

本研究旨在数值研究在存在活化能的情况下三维对流纳米液体流动对嵌入非达西多孔介质中的旋转框架的影响。研究中包括交叉扩散效应，即Soret 和Dufour 效应以及热量产生。对流加热条件应用于边界表面。

设计/方法论/途径

控制模型由带有边界约束的偏微分方程（PDE）系统组成。使用适当的相似变换，将偏微分方程转化为常微分方程，并通过龙格-库塔-菲尔伯格方法进行数值求解。将获得的速度、温度和溶质浓度特性结果绘制出来，以显示相关参数的影响。还计算了传热传质速率以及表面摩擦力。

 发现

研究发现，两个毕奥数都增强了边界层区域内的热量和质量分布。温度随着杜福尔数的增加而升高，而浓度随着杜福尔数的增加而降低。在存在活化能参数 ( E ) 的情况下，传热增加高达 8.1%。但是，在E存在的情况下，传质率下降高达 16.6%。

 实际意义

杜福尔和索雷特联合效应的应用是气体混合物、油藏和二元合金凝固中的同位素分离。具有多孔介质的纳米流体可用于化学工程、热交换器和核反应堆。

 社会影响

这项研究主要用于热科学和化学工程。

 原创性/价值

本研究的独特之处在于研究了活化能和交叉扩散对旋转纳米液体流的发热和对流加热条件的影响。所获得的成果具有独特性和价值，可应用于各个科学技术领域。