摘要
通过一半无限大平板的不可压缩的两维稳定流是一个典型的工程问题,被称为边界层流问题.它是一个由三阶非线性微分方程描述的边值问题,其微分方程称为Blasius方程.首先将该边值问题转化为一对初值问题,然后用状态方程直接积分法和Taylor级数展开法对这对初值问题进行求解.与其它算法相比,具有算法简单,精度高的优点.
Two-dimensional steady flow of incompressible constant property fluid over a semi-infinite flat plate is a topic of engineering. Such a flow is usually called the boundary layer flow. It is a boundary value problem described by a third-order nonliear differential equation which is called the Blasius equation. In this paper, the boundary value problem is firstly converted into a pair of initial value problems, and then they are solved by direct integration of state equation and the Taylor series expansion method. The comparison with other solutions reveals that the proposed method is of very simple and of high accuracy.
出处
《大学数学》
北大核心
2006年第6期97-101,共5页
College Mathematics
基金
国家自然科学基金(10472021)
山东省自然科学基金(2003zx02)
