Cui Jifeng, Jan Ahmed, Farooq Umer, Hussain Muzamil, Khan Waseem Asghar
College of Science, Inner Mongolia University of Technology, Hohhot 010051, China.
Department of Mathematics, COMSATS University Islamabad, Park Road, Tarlai Kalan, Islamabad 45550, Pakistan.
Nanomaterials (Basel). 2022 Dec 2;12(23):4291. doi: 10.3390/nano12234291.
Nanofluids have unique features that make them potentially valuable in a variety of medicinal, technical, and industrial sectors. The widespread applications of nanotechnology in modern science have prompted researchers to study nanofluid models from different perspectives. The objective of the current research is to study the flow of non-Newtonian nanofluid over an inclined stretching surface immersed in porous media by employing the Darcy-Forchheimer model. Both titanium oxide (TiO2) and aluminum oxide (Al2O3) are nanoparticles which can be found in blood (based fluid). The consequences of viscous dissipation, thermal radiations, and heat generation are also incorporated. Boundary layer approximations are employed to model the governing system of partial differential equations (PDEs). The governing PDEs with their associated boundary conditions are further altered to a dimensionless form by employing appropriate transformations. The results of the transformed model are collected using local non-similarity approach up to the second level of truncation in association with the built-in finite difference code in MATLAB (bvp4c). Additionally, the impacts of emerging factors on the fluid flow and thermal transport features of the considered flow problem are displayed and analyzed in graphical forms after achieving good agreement between accomplished computational results and published ones. Numerical variations in drag coefficient and Nusselt number are elaborated through the tables. It has been perceived that the enhancement in Casson fluid parameter diminishes the velocity profile. Moreover, it is noted that the porosity parameter and Lorentz's forces reinforce the resulting frictional factor at the inclined stretching surface.
纳米流体具有独特的特性,使其在各种医学、技术和工业领域具有潜在价值。纳米技术在现代科学中的广泛应用促使研究人员从不同角度研究纳米流体模型。当前研究的目的是通过采用达西-福希海默模型,研究非牛顿纳米流体在浸没于多孔介质中的倾斜拉伸表面上的流动。氧化钛(TiO₂)和氧化铝(Al₂O₃)都是可在血液(基流体)中发现的纳米颗粒。还考虑了粘性耗散、热辐射和热生成的影响。采用边界层近似对偏微分方程(PDEs)的控制方程组进行建模。通过适当的变换,将带有相关边界条件的控制PDEs进一步转换为无量纲形式。使用局部非相似方法结合MATLAB中的内置有限差分代码(bvp4c),收集变换后模型的结果,直至截断的第二级。此外,在已完成的计算结果与已发表结果达成良好一致后,以图形形式展示和分析新兴因素对所考虑流动问题的流体流动和热传输特性的影响。通过表格阐述了阻力系数和努塞尔数的数值变化。可以看出,卡森流体参数的增加会减小速度剖面。此外,注意到孔隙率参数和洛伦兹力会增强倾斜拉伸表面处的摩擦系数。