Li Shiyuan, You Xiangcheng
College of Petroleum Engineering, China University of Petroleum-Beijing, Beijing 102249, China.
State Key Labortory of Petroleum Resources and Prospecting, Beijing 102249, China.
Nanomaterials (Basel). 2023 Mar 8;13(6):984. doi: 10.3390/nano13060984.
This paper studies the impact of shape factor on a mass-based hybrid nanofluid model for Homann stagnation-point flow in porous media. The HAM-based Mathematica package BVPh 2.0 is suitable for determining approximate solutions of coupled nonlinear ordinary differential equations with boundary conditions. This analysis involves discussions of the impact of the many physical parameters generated in the proposed model. The results show that skin friction coefficients of and increase with the mass of the first and second nanoparticles of the hybrid nanofluids and and with the coefficient of permeability in porous media. For the axisymmetric case of γ = 0, when = = 10 gr, = 100 gr and = = 2.03443, 2.27994, 2.50681, and 3.10222 for = 0, 1, 2, and 5. Compared with = = 10 gr, = 100 gr, and = 0, it can be found that the wall shear stress values increase by 12.06%, 23.21%, and 52.48%, respectively. As the mass of the first and second nanoparticles of the mass-based hybrid nanofluid model increases, the local Nusselt number Nu increases. Values of Nu obviously decrease and change with an increase in the coefficient of permeability in the range of γ < 0; otherwise, Nu is less affected in the range of γ > 0. According to the calculation results, the platelet-shaped nanoparticles in the mass-based hybrid nanofluid model can achieve maximum heat transfer rates and minimum surface friction.
本文研究了形状因子对多孔介质中霍曼驻点流基于质量的混合纳米流体模型的影响。基于同伦分析法(HAM)的Mathematica软件包BVPh 2.0适用于确定具有边界条件的耦合非线性常微分方程的近似解。该分析涉及对所提出模型中产生的许多物理参数的影响进行讨论。结果表明,混合纳米流体中第一和第二纳米颗粒的质量以及多孔介质中的渗透率系数增加时, 和 的表面摩擦系数会增大。对于γ = 0的轴对称情况,当 = = 10 gr, = 100 gr且 = = 2.03443、2.27994、2.50681和3.10222分别对应 = 0、1、2和5时。与 = = 10 gr, = 100 gr且 = 0相比,可以发现壁面剪应力值分别增加了12.06%、23.21%和52.48%。随着基于质量的混合纳米流体模型中第一和第二纳米颗粒质量的增加,局部努塞尔数Nu增大。在γ < 0的范围内,随着渗透率系数的增加,Nu值明显减小并发生变化;否则,在γ > 0的范围内,Nu受影响较小。根据计算结果,基于质量的混合纳米流体模型中的片状纳米颗粒可以实现最大的传热速率和最小的表面摩擦。