拉伸片上的混合纳米流体(CNTs-Al2O3/H2O)的达西-福克海默(Darcy-Forchheimer)非稳态 MHD 对流模型

S. Abhilash Anand Kumar, S. Sreedhar, M. Gayathri, M. Veera Krishna
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摘要

本文详细分析了混合纳米流体流过多孔拉伸片的达西-福赫海默流。本文采用碳纳米管和 Al2O3(氧化铝)合成混合纳米流体。碳纳米管纳米粒子在增强流体粒子的热物理特性方面享有盛誉。在磁场、热辐射、散热和滑移条件下,通过计算探索了多壁碳纳米管(MWCNTs)/单壁碳纳米管(SWCNTs)和氧化铝纳米粒子在水中经过拉伸片的情况。混合纳米流体在二维可拉伸表面上的流动存在非稳定的非达西关系。首先,预测建模的支配偏微分方程为非一维方程,通过适当的无量纲相似变换得到常微分方程,然后通过 bvp4c MATLAB 求解器进行计算。相关模型的相关参数通过图形剖面图和表格展示出来。此外,磁性参数、孔隙率参数和惯性系数参数往往会阻碍混合纳米流体的流动模式。与 MWCNTs 氧化铝/水相比,SWCNTs 氧化铝/水的阻力更大。当 MWCNTs-氧化铝/水的流动超过 SWCNTs-氧化铝/水时,Fochheimer 参数值越高,速度曲线越缓慢。MWCNTs 和 SWCNTs 体积分数的增加提高了整个流体区域的传热速率。
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Darcy–Forchheimer modelling on unsteady MHD convection flow of a hybrid nanofluids (CNTs–Al2O3/H2O) over a stretching sheet
The present article provides a detailed analysis of the Darcy–Forchheimer flow of hybrid nanofluid past a porous stretching sheet. The carbon nanotubes and Al2O3 (aluminium oxide) are used to synthesize hybrid nanofluid. The nanoparticles of carbon nanotubes have attained fame to enhance the thermo‐physical features of fluid particles. The inclusion of nanoparticles of multi‐wall carbon nanotube (MWCNTs)/single‐wall carbon nanotubes (SWCNTs) and alumina in water past a stretching sheet by the magnetic field, thermal radiation, heat dissipation as well as slip conditions is computationally explored. The hybrid nanofluid flow experiences the unsteady non‐Darcy relation across two‐dimensional stretchable surface. At first, the governing partial differential equations of the projected modelling are in non‐dimensional and to attain the ordinary differential equations via the appropriate dimensionless similarity transformations and are then computationally explored by bvp4c MATLAB solver. The pertinent parameters of the associated model are demonstrated by the graphical profiles and tables. Furthermore, magnetic parameter, porosity parameter and inertia coefficient parameter tend to retards the flow pattern of hybrid nanofluid. The SWCNTs‐alumina/water experiences more resistive force as compared to the MWCNTs‐alumina/water. Higher values of Forchheimer parameter retards velocity profile as MWCNTs‐alumina/water flow overshoots SWCNTs‐/alumina water. The enhancement of volume fraction of MWCNTs and SWCNTs enhanced the rate of heat transfer throughout the fluid region.
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