热辐射对粘性流体流过多孔非线性收缩平面时的MHD流动和热传导的影响  

Effect of Thermal Radiation on MHD Viscous Fluid Flow and Heat Transfer Over a Non-Linear Shrinking Porous Sheet

作　　者：G.C.斯特 R.哈尔达 海治 

机构地区：[1]迦达浦大学数学系

出　　处：《应用数学和力学》2011年第6期635-646,共12页Applied Mathematics and Mechanics

基　　金：迦达浦大学的DST-PURSE项目

摘　　要：研究热辐射对多孔非线性收缩平面上磁流体动力学(MHD)流动和热传导的影响.假设收缩平面的速度和横向磁场,按离原点距离的幂函数而变化;又假设粘性按与其有关的温度的反函数变化,热传导率按温度的线性函数变化.通过广义相似变换,将偏微分方程的控制方程,简化为耦合的非线性常微分方程,然后通过有限差分法进行数值求解.在不同的参数取值下,得到速度和温度分布,以及多孔平面上表面摩擦因数和热传导率的数值结果.Of concern was art investigation of the effects of thermal radiation on magnetohydrodynamic （MHD） flow and heat transfer over a non-linear shrinking porous sheet. The surface velocity of the shrinldng sheet and the transverse magnetic field were assumed to vary as a power function of the distance from the origin. The temperature dependent viscosity and the thermal conductivity were also assumed to vary as an inverse function and a linear function of the temperature respectively. A generalized similarity transformation was used to reduce the governing partial differential equations into its non-linear coupled ordinary differential equations and were solved numerically by using finite difference scheme. The numerical results concern with the velocity and temperature profiles as well as the skin-friction coefficient and the rate of heat transfer at the porous sheet for different values of the parameters of interest.

关 键 词：热辐射 收缩平面 可变粘性 可变热传导率 

分 类 号：O361.3[理学—流体力学]