Alharbi Khalid Abdulkhaliq M, Alshahrani Mohammed Nasser, Ullah Naeem, Khan Naseer M, Marek Krawczuk, Mousa Abd Allah A, Ali Sajid
Mechanical Engineering Department, College of Engineering, Umm Al-Qura University, Makkah, Kingdom of Saudi Arabia.
Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj, 11942, Saudi Arabia.
Sci Rep. 2022 Mar 30;12(1):5360. doi: 10.1038/s41598-022-09275-w.
This report is devoted to the study of the flow of MHD nanofluids through a vertical porous plate with a temperature-dependent surface tension using the Cattaneo-Christov heat flow model. The energy equation was formulated using the Cattaneo-Christov heat flux model instead of Fourier's law of heat conduction. The Tiwari-Das model was used to take into account the concentration of nanoparticles when constructing the momentum equation. The problem is described mathematically using the boundary layer approach as a PDE, which is then converted into an ODE with the help of the transformation process. The solution finding process was completed by running the bvp4c code in MATLAB. A quantitative analysis of the influence of some newly occurring parameters on physical quantities was carried out using graphics. The addition of nanoparticles to the base fluid leads to an increase in both skin friction and thermal conductivity. The increase in thermal conductivity is the advantage, while the increase in skin friction is the disadvantage of the nanoparticle concentration. Marangoni convection has proven to be one of the most cost-effective tools available that can reduce skin friction. Marangoni convection improves the heat transfer coefficient during suction but decreases the heat transfer coefficient during the injection.
本报告致力于研究磁流体动力学纳米流体通过具有温度依赖表面张力的垂直多孔板的流动，采用了卡塔尼奥 - 克里斯托夫热流模型。能量方程是使用卡塔尼奥 - 克里斯托夫热通量模型而非傅里叶热传导定律来建立的。在构建动量方程时，采用蒂瓦里 - 达斯模型来考虑纳米颗粒的浓度。该问题通过边界层方法以偏微分方程（PDE）进行数学描述，然后借助变换过程将其转换为常微分方程（ODE）。通过在MATLAB中运行bvp4c代码完成了解的求解过程。使用图形对一些新出现的参数对物理量的影响进行了定量分析。向基液中添加纳米颗粒会导致表面摩擦和热导率都增加。热导率的增加是优点，而表面摩擦的增加是纳米颗粒浓度的缺点。马兰戈尼对流已被证明是可用的最具成本效益的工具之一，它可以降低表面摩擦。马兰戈尼对流在抽吸过程中提高了传热系数，但在注入过程中降低了传热系数。
