摘要
就粘度与温度相关时,研究粘度对铁磁流体作轴对称旋转层流边界层流动的影响.铁磁流体是不可压缩非导电的,在一块固定平板上作轴对称的旋转流动,固定平板受到磁场的作用并保持恒定的温度.为了达到上述目的,首先利用众所周知的相似变换法,将耦合的非线性偏微分方程组转化为常微分方程组;然后,运用常用的有限差分法,将耦合的非线性微分方程离散化;采用MATLAB软件中的Newton法求解上述离散化方程;借助Flex PDE求解器得到最初的猜测值.在求得速度分布的同时,还就粘度与温度相关时求得了表面摩擦力、热交换率和边界层位移厚度.所得的结果用图表表示出来.
The prime objective of the present study was to examine the effect of temperature dependent viscosity on the revolving axi-symmetric laminar boundary layer flow of incompressi- ble, electrically non-conducting ferrofluid in the presence of a stationary plate subjected to a magnetic field and maintained at a uniform temperature. To serve this purpose, the non linear coupled partial differential equations were firstly converted into the ordinary differential equa- tions using well known similarity transformations and later, the popular finite difference method was employed to discretize the non linear coupled differential equations. These discretized e- quations were then solved using Newton method in MATLAB, for which an initial guess was made with the help of Flex PDE Solver. Along with the velocity profiles, the effects of tempera- ture dependent viscosity were also examined on skin friction, heat transfer and the boundary layer displacement thickness. The results, so obtained, were presented numerically as well as graphically.
出处
《应用数学和力学》
CSCD
北大核心
2012年第11期1340-1351,共12页
Applied Mathematics and Mechanics
关键词
铁磁流体
粘度与温度相关
边界层
轴对称
磁场
ferrofiuid
temperature dependent viscosity
boundary layer
axi-symmetry
mag-netic field
