膨胀波诱导的层流边界层方程的近似解析解

摘要

研究了由膨胀波诱导的边界层问题.利用Adomian解析分解方法对不同速度比例参数给出了问题的级数形式的近似解析解和相应的壁摩擦因数近似值,该近似解析解具有快速收敛性和易于计算性.最后对近似解所推出结果和所得壁摩擦因数与文献中的数值解进行了比较验证,证实了提出的解析近似方法的准确性和可靠性.%A theoretical analysis for expansion wave boundary layer was presented. The Adomian analytical decomposition technique was presented and an approximate analytical solution was obtained. The approximate analytical solution can be represented in terms of a rapid convergent power series with elegantly computable terms. Analytical Approximate Solutions of boundary layer equation and approximate value of skin friction coefficient for velocity ratio parameter ξ are presented. The reliability and efficiency of the approximate solution were verified using numerical solutions.