气膜叶片前缘内冲击冷却的共轭传热计算

NUMERICAL ANALYSIS OF CONJUGATE HEAT TRANSFER PROCESS WITHIN TIP OF A TURBINE BLADE

导出一协变速度动量方程的数学表达式，为避免曲率源项或各附加力项的存在，该协变速度周围邻域内皆取与之平行的速度分量。采用ＳＩＭＰＬＥＲ算法对带有气膜出流的内冲击复合冷却叶片进行了共轭传热计算，揭示了其流动的特征，给出了叶片内外表面的温度分布。

Firstly,a noval formation of the Navier-Stokes equation is derived for general non-orthogonal curvilinear coordinates.The covariant velocity component is solved at a point P with all its neighbouring velocities projected in the same direction.This approach avoids the calculation of the Cristoffel symbol and its derivatives.Secondly,this formulation is incorporated into the SIMPLER scheme for analysis of the conjugate heat transfer process within the tip of a typical turbine blade under impingement and film cooling.The velocity and temperature fields are presented and analysed.