采用Cattaneo-Christov热通量模型的Casson流体作磁流体流动研究

研究了Casson流体作磁流体(MHD)流动与传热现象，能量方程采用Cattaneo-Christov热通量模型。采用恰当的相似变换将偏微分控制方程转化为高阶非线性耦合常微分方程，并通过打靶法进行数值求解，图示并详细分析了不同物理参数对速度、温度分布、表面摩擦系数及局部Nusselt数的影响。结果显示，随着Casson参数或Hartmann 数的增大，速度下降而温度增加；与采用经典的傅立叶热传导定律相比，采用Cattaneo-Christov热通量模型得到的温度和边界层厚度均比较低。

Cattaneo-Christov heat flux model for heat transfer of MHD flow in a Casson fluid

The flow and heat transfer phenomena of a Casson fluid as magnetohydrodynamic(MHD) fluid are studied and Cattaneo-Christov heat flux model is used for the energy equation. By appropriate similarity transformation, the partial differential governing equations are converted into higher order non-linear coupled ordinary differential equations, which are solved numerically by the shooting method. The effects of different physical parameters on the velocity, temperature distribution, skin-friction coefficient and Local Nusselt number are illustrated and analyzed in detail. The results show that with the increase of Casson parameters or Hartmann numbers, the velocity decreases while the temperature increases. The temperature and boundary layer thickness obtained by Cattaneo-Christov heat flux model are lower than those obtained by classical Fourier heat transfer law.