Computational-Analysis of the Non-Isothermal Dynamics of the Gravity-Driven Flow of Viscoelastic-Fluid-Based Nanofluids Down an Inclined Plane  

作　　者：Idrees Khan Tiri Chinyoka Andrew Gill 

机构地区：[1]Centre for Research in Computational&Applied Mechanics,University of Cape Town,Rondebosch,7701,South Africa [2]Department of Mathematics and Applied Mathematics,University of Cape Town,Rondebosch,7701,South Africa [3]Centre for High Performance and Computing,Council for Scientific and Industrial Research,Rosebank,Cape Town,7700,South Africa

出　　处：《Fluid Dynamics & Materials Processing》2023年第3期767-781,共15页流体力学与材料加工（英文）

摘　　要：The paper explores the gravity-driven flow of the thin film of a viscoelastic-fluid-based nanofluids(VFBN)along an inclined plane under non-isothermal conditions and subjected to convective cooling at the free-surface.The Newton’s law of cooling is used to model the convective heat-exchange with the ambient at the free-surface.The Giesekus viscoelastic constitutive model,with appropriate modifications to account for non-isothermal effects,is employed to describe the polymeric effects.The unsteady and coupled non-linear partial differential equations(PDEs)describing the model problem are obtained and solved via efficient semi-implicit numerical schemes based on finite difference methods(FDM)implemented in Matlab.The response of the VFBN velocity,temperature,thermal-conductivity and polymeric-stresses to variations in the volume-fraction of embedded nanoparticles is investigated.It is shown that these quantities all increase as the nanoparticle volume-fraction becomes higher.

关 键 词：Semi-implicit numerical scheme finite difference methods viscoelastic-fluid-based nanofluid(VFBN) nonisothermal viscoelastic flow giesekus constitutive model nanofluid thermal-conductivity gravity-driven flow 

分 类 号：O35[理学—流体力学]