饱和纳米流体多孔介质中竖直嵌入板上边界层的非Newton流

F·M·哈迪; F·S·艾伯拉赫门; S·M·阿卜杜勒·盖德; M·R·艾德

doi:10.3879/j.issn.1000-0887.2011.12.007

饱和纳米流体多孔介质中竖直嵌入板上边界层的非Newton流

doi: 10.3879/j.issn.1000-0887.2011.12.007

艾斯尤特大学理学院数学系,艾斯尤特 71516,埃及;

详细信息

中图分类号: O357.3
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出版历程
- 收稿日期: 2010-12-13
- 修回日期: 2011-09-19
- 刊出日期: 2011-12-15

Boundary-Layer Non-Newtonian Flow Over a Vertical Plate in a Porous Medium Saturated With a Nanofluid

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt;
Department of Science and Mathematics, Faculty of Education, Assiut University, New Valley 72111, Egypt

摘要

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．
- 非Newton流体 /
- 自由对流 /
- 纳米流体 /
- 多孔介质
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 solutions of the resulting ordinary system were obtained. These solutions depend on the power-law index n, Lewis number Le, buoyancy-ratio number Nr, Brownian motion number Nb and thermophoresis number Nt. For various values of n and Le, the effect of the influence parameters on the fluid behavior as well as the reduced Nusselt number was presented and discussed.
- non-Newtonian /
- free convection /
- nanofluid /
- porous media

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参考文献(32)

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