福州大学学报（自然科学版）2024，Vol.52Issue(4)：387-395,403,10.DOI:10.7631/issn.1000-2243.23151
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
摘要
Abstract
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Key words
Maxwell hybrid nanofluid/fractional derivative parameters/flow and heat transfer/second order slip boundaries/sensitivity analysis分类
数理科学引用本文复制引用
许晓勤,黄惠..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[J].福州大学学报（自然科学版）,2024,52(4):387-395,403,10.基金项目
国家重点研发计划资助项目(2019YFB2005103) （2019YFB2005103）
福建省自然科学基金面上项目(2021J01337) （2021J01337）
