[1]HUSSANAN Abid,陈志敏.磁性和非磁性纳米流体在牛顿加热条件下的热传优化问题[J].深圳大学学报理工版,2019,36(No.5(473-600)):411-418.[doi:10.3724/SP.J.1249.2019.04411]
 HUSSANAN Abid and CHEN Zhimin.Heat transfer enhancement in magnetic and non-magneticbased nanofluid with Newtonian heating[J].Journal of Shenzhen University Science and Engineering,2019,36(No.5(473-600)):411-418.[doi:10.3724/SP.J.1249.2019.04411]
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磁性和非磁性纳米流体在牛顿加热条件下的热传优化问题()
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《深圳大学学报理工版》[ISSN:1000-2618/CN:44-1401/N]

卷:
第36卷
期数:
2019年No.5(473-600)
页码:
411-418
栏目:
【数学应用数学】
出版日期:
2019-09-30

文章信息/Info

Title:
Heat transfer enhancement in magnetic and non-magneticbased nanofluid with Newtonian heating
作者:
HUSSANAN Abid陈志敏
深圳大学数学与统计学院,广东深圳 518060
Author(s):
HUSSANAN Abid and CHEN Zhimin
College of Mathematics and Statistics, Shenzhen University, Shenzhen 518060, P.R.China
关键词:
黏性流体力学纳米流体单相方法拉伸板片Whittaker 函数
Keywords:
iscous fluid mechanics nanofluid single-phase model stretchingsheet Whittaker function
分类号:
O29;O357
DOI:
10.3724/SP.J.1249.2019.04411
文献标志码:
A
摘要:
考虑导电纳米流体在二维边界层上的定态流动.分析磁性(Fe2O3)和非磁性(Cu)纳米颗粒被用作基础流体的水中,流体的传热过程源于牛顿加热边界条件,流体的数学模型根据单项方法给出,该方法将纳米流体作为单一齐性流体.在某种精确解存在的特殊条件下,通过使用合适的无量纲变换,使流体运动所满足的非线性偏微分方程组转化为常微分方程组,流体的精确解则借助Maple软件及Whittaker函数给出.研究发现,含有Cu的纳米流体比含有Fe2O3的纳米流体具有更高的热传率.
Abstract:
A two-dimensional boundary layer steady flow of an electrically conducting nanofluid on a stretching sheet in the presence of a magnetic field is considered in this paper. The magnetic (Fe2O3) and non-magnetic (Cu) nanoparticles are used in water as a base fluid.The heat transfer process is sourced from the Newtonian heating boundary condition. The mathematical model of the flow is formulated by using a single-phase approach, which takes the nanofluid as a single homogeneous fluid.Under certain special condition for the existence of an exact solution, a system of governing nonlinear partial differential equations is reduced to a set of ordinary differential equations by using a suitable non-dimensional variable transformation.The Maple is used to obtain the exact solution in terms of the Whittaker function. We found that the nanofluid containing Cu nanoparticles has higher heat transfer rate than Fe2O3-water nanofluid.
更新日期/Last Update: 2019-07-04