两互相垂直的平面间的层流边界层

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Laminar Boundary Layer between Two Planes Perpendicular to Each Other

摘要: 本文得到了两互相垂直的平面间的层流边界层的三级近似解.在边界层中,边界层方程中的粘性项和惯性项具有相同的数量级^[3].本文则首先假定惯性项大于粘性项去求解边界层方程;然后,令粘性项大于贯性项.最后,取二者的平均值作为边界层方程的真实解.本文所得一级及二级近似解和文献[1]的结果相同.本文的三级近似解则较[1]的结果更精确.

Abstract: In this paper, we obtain a third-order approximate solution for the laminar boundary layer between two planes perpendicular to each other.In boundary layer equations, the viscous and the inertial terms have the same quantity step. In this paper, at first, supposing that the inertial terms are bigger than the viscous terms, we solve the boundary layer equations, and then we suppose that the viscous terms are bigger than the inertial terms. At last, we take the mean value as the valid solution of the boundary layer equations.The first-and the second-order approximate solutions obtained in this paper coincide with the results in ref. [1], while the third-order solution obtained in this paper is better than that in ref. [1].

[1]	Лойдянский Л.Г.,Ламцнарный Посранииный Слой,Государственное Издателъство Физдко-Магтематической Литературы,Москва(1962)249-253.
[2]	Щвед М.Е.,ПММ,3(1949),257-266
[3]	复旦大学数学系编,《流体力学》,上海科技出版社(1960),250.