纳米流体在粘性耗散和Newton传热组合影响下的Sakiadis流动分析

O·D·梅金德

doi:10.3879/j.issn.1000-0887.2012.12.006

纳米流体在粘性耗散和Newton传热组合影响下的Sakiadis流动分析

doi: 10.3879/j.issn.1000-0887.2012.12.006

O·D·梅金德

开普半岛理工大学数学建模和计算高等研究院,1906邮箱,贝尔维尔 7535,南非

基金项目: 非洲联盟科学和技术委员会资助项目

详细信息

中图分类号: O241.81; O357.3; O357.4
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出版历程
- 收稿日期: 2011-12-19
- 修回日期: 2012-04-29
- 刊出日期: 2012-12-15

Analysis of Sakiadis flow of nanofluids with viscous dissipation and Newtonian heating

O. D. MAKINDE

Institute for Advance Research in Mathematical Modelling and Computations, Cape Peninsula University of Technology, P. O. Box 1906, Bellville 7535, South Africa

摘要

摘要: 就两类以水为基本流体的Newton纳米流体：内含金属颗粒铜（Cu），或者非金属颗粒二氧化钛（TiO2），研究粘性耗散和Newton传热对移动平板边界层流动的组合影响．利用相似变换，将偏微分的控制方程转换为常微分方程组，并用Runge-Kutta-Fehlberg法和打靶法，对其进行数值求解．由此得到结论，随着纳米颗粒体积分数和Newton传热的增加，移动平板表面的热交换率也增加，但是，随着Brinkmann数的增加，移动平板表面的热交换率反而减小．此外，纳米工作流体Cu-水的移动平板表面热交换率，高于纳米工作流体TiO2-水．
- Sakiadis流动 /
- 纳米流体 /
- 粘性耗散 /
- Newton传热
Abstract: The combined effects of viscous dissipation and Newtonian heating on bound-ary layer flow over a moving flat plate are investigated for two types of water-based New-tonian nanofluids containing metallic or nonmetallic nanoparticles such as copper (Cu) and titania (TiO₂). The governing partial differential equations are transformed into ordinary differential equations through a similarity transformation and are solved numer-ically by a Runge-Kutta-Fehlberg method with a shooting technique. The conclusions are that the heat transfer rate at the moving plate surface increases with the increases in the nanoparticle volume fraction and the Newtonian heating, while it decreases with the increase in the Brinkmann number. Moreover, the heat transfer rate at the moving plate surface with Cu-water as the working nanofluid is higher than that with TiO₂-water.
- Sakiadis flow /
- nanofluid /
- viscous dissipation /
- Newtonian heating

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