PH linearization method is employed to solve a nonlinear Reynolds equation for a steady-state and micro-scale flow field,and the approximate function expressions of gas dynamic pressure and velocity in the spiral groove are obtained.
应用PH线性化方法、迭代法,近似求解了螺旋槽内稳态微尺度流动场的非线性雷诺方程,求得了气体动压和速度分布的解析解。
Using PH linearization,the nonlinear partial differential equation was transformed into linear partial differential equation,and then,by introducing a complex function,it was further transformed into a set of two linear differential equations.
应用PH线性化方法,将非线性偏微分方程转化为线性偏微分方程,引入复函数将复常数偏微分方程变为两个线性实常数微分方程组,并采用小参数迭代法进行求解,近似求得了螺旋槽内气体动压分布的解析解。