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作 者:Muhammad Zubair Mustafa Sumera Dero Liaquat Ali Lund Mehboob Ul Hassan Umair Khan
机构地区:[1]Institute of Mathematics and Computer Science,University of Sindh,Jamshoro Sindh,76080,Pakistan [2]KCAMS Khairpur Mir’s,Sindh Agriculture University,Tandojam Sindh,70060,Pakistan [3]Department of Economics,College of Business Administration,King Saud University,Riyadh,145111,Saudi Arabia [4]Department of Mathematics,Saveetha School of Engineering,Saveetha Institute of Medical and Technical Sciences,Saveetha University,Chennai,602105,India [5]Department of Mathematics,Faculty of Science,Sakarya University,Serdivan/Sakarya,54050,Turkey
出 处:《Computer Modeling in Engineering & Sciences》2025年第4期499-513,共15页工程与科学中的计算机建模(英文)
基 金:the Researchers Supporting Project number(RSPD2025R997),King Saud University,Riyadh,Saudi Arabia.
摘 要:This paper discusses the model of the boundary layer(BL)flow and the heat transfer characteristics of hybrid nanofluid(HNF)over shrinking/stretching disks.In addition,the thermal radiation and the impact of velocity and thermal slip boundary conditions are also examined.The considered hybrid nano-fluid contains silver(Ag)and iron oxide(Fe_(3)O_(4))nanoparticles dispersed in the water to prepare the Ag-Fe_(3)O_(4)/water-based hybrid nanofluid.The requisite posited partial differential equations model is converted to ordinary differential equations using similarity transformations.For a numerical solution,the shooting method in Maple is employed.Moreover,the duality in solutions is achieved for both cases of the disk(stretching(λ>0)and shrinking(λ<0)).At the same time,a unique solution is observed for λ=0.No solution is found for them at λ<λ_(c),whereas the solutions are split at the λ=λ_(c).Besides,the value of the λ_(c) is dependent on the φ_(hnf).Meanwhile,the values of f″(0)and -θ′(0)intensified with increasing φ_(hnf).Stability analysis has been applied using bvp4c in MATLAB software due to a dual solution.Furthermore,analysis shows that the first solution is stable and feasible physically.For the slip parameters,an increase in the velocity slip parameter increases the velocity and shear stress profiles while increasing the temperature profile in the first solutions.While the rise in thermal slip parameter reduces the temperature profile nanoparticle volume fractions increase it.
关 键 词:Dual solutions slip and radiation hybrid nanofluid shrinking/stretching disk stability analysis
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