纳米流体在粘性耗散和Newton传热组合影响下的Sakiadis流动分析  

Analysis of Sakiadis Flow of Nanofluids With Viscous Dissipation and Newtonian Heating

作　　者：O·D·梅金德 

机构地区：[1]开普半岛理工大学数学建模和计算高等研究院,南非贝尔维尔7535

出　　处：《应用数学和力学》2012年第12期1442-1450,共9页Applied Mathematics and Mechanics

基　　金：非洲联盟科学和技术委员会资助项目

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.The combined effects of viscous dissipation and Newtonian heating on boundary lay- er flow over a moving fiat plate for two types of water-based Newtonian nanofluids containing metallic or nonmetallic nanoparticles such as copper （Cu） and titania （ TiO2 ） were investiga- ted. The governing partial differential equations were transformed into ordinary differential e- quations using a similarity transformation and solved numerically by a Runge-Kutta-Fehlberg method with a shooting technique. The conclusion is drawn that the heat transfer rate at the moving plate surface increases with the increase in the nanoparticle volume fraction and the Newtonian heating, while it decreases with the Brinkmann number. Moreover, the heat trans- fer rate at the moving plate surface with Cu-water is higher than that with TiO2-water as the working nanofluid.

关 键 词：Sakiadis流动 纳米流体 粘性耗散 Newton传热 

分 类 号：O241.81[理学—计算数学] O357.3[理学—数学]