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  

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

作　　者：许晓勤[1] 黄惠[2] XU Xiaoqin;HUANG Hui(School of Automobile,Fujian Chuanzheng Communications College,Fuzhou,Fujian 350007,China;School of Mechanical Engineering and Automation,Fuzhou University,Fuzhou,Fujian 350108,China)

机构地区：[1]福建船政交通职业学院汽车学院,福建福州350007 [2]福州大学机械工程及自动化学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2024年第4期387-395,403,共10页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家重点研发计划资助项目(2019YFB2005103);福建省自然科学基金面上项目(2021J01337)。

摘　　要：研究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现象,并考虑二阶滑移边界条件.利用分数阶剪应力和分数阶Fourier定律构建边界层控制方程.然后采用有限差分结合L1算法进行数值求解,并详细讨论分数导数参数增大时,各物理参数对该流体流动与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数的影响只对温度分数导数敏感,与速度分数导数几乎无关.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.The fractional Maxwell hybrid nanofluid flow and heat transfer induced by a vertically stretching plate in porous media is studied with the consideration of second-order slip boundary condi-tions.The boundary layer governing equations are established through fractional shear stress and frac-tional Fourier law.Then the finite difference combined with L1 algorithm is adopted for numerical solu-tion.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 pa-rameters on the average Nusselt number is more sensitive to velocity fractional derivative than to tem-perature fractional derivative.While the effect of Darcy number on the average Nusselt number is sen-sitive to temperature fractional derivative,but almost irrelevant to velocity fractional derivative.In ad-dition,the flow and heat transfer are more affected by first order slip parameter than by second order slip parameter.

关 键 词：Maxwell杂化纳米流体 分数导数参数 流动与传热 二阶滑移边界 灵敏度分析 

分 类 号：O351.2[理学—流体力学]