激波诱导的层流边界层方程的近似解析解  

Analytical Approximate Solutions of Shock Wave Boundary Layer

作　　者：徐云滨[1] 郑连存[2] 董媛媛[1] 

机构地区：[1]榆林学院数学与应用数学系,榆林719000 [2]北京科技大学数学力学系,北京100083

出　　处：《科学技术与工程》2010年第3期643-646,659,共5页Science Technology and Engineering

基　　金：国家自然科学基金(50476083);陕西省教育厅中青年科技人才培养项目(09JK842);榆林学院青年基金项目(09YK37);榆林学院高学历人才科研启动基金项目(08GK026)资助

摘　　要：研究了由激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,所提出的思想方法还可用于解决其它科学和工程技术问题。A theoretical analysis for shock 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, we presented Analytical Approximate Solutions of boundary layer equation and Approximate Value of Skin Friction Coefficient for velocity ratio parameter ξ. The reliability and efficiency of the approximate solution are verified using numerical solutions. Moreover, the approximate solution can be successfully applied to provide the values of skin friction coefficient for shock wave boundary layer equation.

关 键 词：边界层方程 非线性边值问题 ADOMIAN分解法 

分 类 号：O354.5[理学—流体力学]