不同分数导数下Maxwell杂化纳米流体流动和传热变化的灵敏度分析

考虑多孔介质中垂直拉伸板引起的分数阶Maxwell杂化纳米流体流动与传热,并引入二阶滑移边界条件。利用分数阶剪应力和分数阶Fourier定律构建边界层控制方程,采用有限差分结合L1算法进行数值求解。图示并详细讨论分数导数参数变化时,各物理参数对该流体流动和传热影响的灵敏度变化。结果表明,Darcy数和滑移参数对平均表面摩擦系数的影响,以及滑移参数对平均Nusselt数的影响,对速度分数导数比对温度分数导数更敏感。Darcy数对平均Nusselt数的影响对温度分数导数敏感,但几乎与速度分数导数无关。此外,一阶滑移参数比二阶滑移参数对流动和传热的影响更大。

Sensitivity analysis of the variation of Maxwell hybrid nanofluid flow and heat transfer under different fractional derivatives

Consider the fractional Maxwell hybrid nanofluid flow and heat transfer induced by a vertically stretching plate in porous media with second-order slip boundary conditions. The boundary layer governing equations are established through fractional shear stress and fractional Fourier law. Then the finite difference combined with L1 algorithm is adopted for numerical solution. When the fractional derivative parameters change, the sensitivity of flow and heat transfer to each physical parameter is graphically displayed and analyzed in detail. The results show that the impact of Darcy number and slip parameters on the average skin friction coefficient, as well as that of slip parameters on the average Nusselt number is more sensitive to velocity fractional derivative than to temperature fractional derivative. While the effect of Darcy number on the average Nusselt number is sensitive to temperature fractional derivative, but almost irrelevant to velocity fractional derivative. In addition, the flow and heat transfer are more affected by first order slip parameter than by second order slip parameter.