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饱和纳米流体多孔介质中竖直嵌入板上边界层的非Newton流
引用本文:F·M·哈迪,F·S·艾伯拉赫门,S·M·阿卜杜勒·盖德,M·R·艾德,吴承平,张禄坤.饱和纳米流体多孔介质中竖直嵌入板上边界层的非Newton流[J].应用数学和力学,2011,32(12).
作者姓名:F·M·哈迪  F·S·艾伯拉赫门  S·M·阿卜杜勒·盖德  M·R·艾德  吴承平  张禄坤
作者单位:1. 艾斯尤特大学理学院数学系,艾斯尤特 71516,埃及
2. 艾斯尤特大学教育学院,科学与数学系,新谷72111,埃及
摘    要:在层流条件下,对饱和多孔介质中的竖直板,研究幂指数型非Newton流的自由对流热交换.非Newton纳米流体服从幂指数型的数学模型,模型综合考虑了Brown运动和热泳的影响.通过相似变换,将问题的偏微分控制方程组,转化为常微分方程组,得到了常微分方程组的数值解.数值解依赖于幂指数n,Lewis数Le,浮力比Nr,Brown运动参数Nb,以及热泳参数Nt.在n和Le的不同取值下,研究并讨论了对相关流体性质参数的影响和简化的Nusselt数.

关 键 词:非Newton流体  自由对流  纳米流体  多孔介质

Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid
F.M.Hady,F.S.Ibrahim,S.M.Abdel-Gaied,M.R.Eid.Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid[J].Applied Mathematics and Mechanics,2011,32(12).
Authors:FMHady  FSIbrahim  SMAbdel-Gaied  MREid
Institution:F.M.Hady1,F.S.Ibrahim1,S.M.Abdel-Gaied2,M.R.Eid2(1.Department of Mathematics,Faculty of Science,Assiut University,Assiut 71516,Egypt,2.Department of Science and Mathematics,Faculty of Education,New Valley 72111,Egypt)
Abstract:The free convective heat transfer to the power-law non-Newtonian from a vertical plate in a porous medium saturated with nanofluid under laminar conditions was investigated.It was considered that the non-Newtonian nanofluid obeys the mathematical model of power-law.The model used for the nanofluid incorporates the effects of Brownian motion and thermophoresis.The partial differential system governing the problem was transformed into an ordinary system via a usual similarity transformation.The numerical solu...
Keywords:non-Newtonian  free convection  nanofluid  porous media  
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