Siddique Imran, Nadeem Muhammad, Awrejcewicz Jan, Pawłowski Witold
Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan.
Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924, Lodz, Poland.
Sci Rep. 2022 Jul 12;12(1):11811. doi: 10.1038/s41598-022-16173-8.
The unsteady energy and mass transport of magnetohydrodynamics (MHD) second grade nanofluid via an exponentially extending surface with Dufour and Soret effects are investigated in this study. Variable thermal conductivity and mixed convection effects are used to investigate the heat transfer mechanism. There are also new characteristics such as slip flow, viscous dissipation, Brownian motion, nonlinear thermal radiation, and thermophoresis. In the problem formulation, the boundary-layer approximation is used. Using the suitable transformations, the energy, momentum, and concentration equations are generated into non-linear ordinary differential equations (ODEs). The solution to the resultant problems was calculated via the Homotopy analysis method (HAM). The effects of environmental parameters on velocity, temperature, and concentration profiles are graphically depicted. When comparing the current results to the previous literature, there was also a satisfactory level of agreement. In comparison to a flow based on constant characteristics, the flow with variable thermal conductivity is shown to be significantly different and realistic. The temperature of the fluid grew in direct proportion to the thermophoresis motion, buoyancy ratio, and Brownian motion parameters. According to the findings, the slippery porous surface may be employed efficiently in chemical and mechanical sectors that deal with a variety of very viscous flows.
本研究考察了磁流体动力学（MHD）二级纳米流体通过具有杜福尔效应和索雷特效应的指数延伸表面的非定常能量和质量输运。采用可变热导率和混合对流效应来研究传热机制。还存在诸如滑移流、粘性耗散、布朗运动、非线性热辐射和热泳等新特性。在问题表述中，采用了边界层近似。通过适当的变换，将能量、动量和浓度方程转化为非线性常微分方程（ODEs）。通过同伦分析方法（HAM）计算所得问题的解。以图形方式描绘了环境参数对速度、温度和浓度分布的影响。将当前结果与先前文献进行比较时，也达到了令人满意的一致程度。与基于恒定特性的流动相比，具有可变热导率的流动显示出显著差异且更符合实际。流体温度与热泳运动、浮力比和布朗运动参数成正比。根据研究结果，光滑多孔表面可有效地应用于处理各种高粘性流动的化学和机械领域。
