边界耦合的Marangoni对流边界层问题的近似解析解

The analytical approximate solution for Marangoni convection in a liquid layer with coupled boundary conditions

研究了由温度梯度引起的Marangoni对流边界层问题.由于动量方程和能量方程的边界条件耦合,利用相似变换将偏微分方程组转化为常微分方程非线性边界值问题.通过巧妙引入摄动小参数对速度和温度边界层方程同时渐近展开求解,得到了问题的近似解析解,并对相应的动量、能量传递特性进行了讨论.

The analytical approximate solution for Marangoni convection is which is induced by variation of surface tension along the liquid of finite thickness presented. The surface tension changes with the variety of temperature. The Marangoni convection boundary layer problem is solved by an efficient transformation and asymptotic expansion technique. The associated transfer mechanism is analyzed in detail.