两种轴对称边界层方程的新解法
The New Solutions for Two Kinds of Axially Symmetrical Laminar Boundary Layer Equations
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摘要: 本文给出了与Mangler变换相类似的变换,它们将两种过流通道中进口段轴对称层流边界层流动转换成平面层流边界层流动,使问题得到简化.简化后的方程可以用已有的平面层流边界层理论加以解决,从而为人们开辟一条解决轴对称通道进口段流动问题的新途径.Abstract: The transformations, which are similar to Mangier's transformation, are given in this paper, and make the two kinds of entrance region flow of axially symmetrical laminar boundary layer in internal way into the flow of two-dimensional boundary layer, and simplify the proboems. The simplified equations can be solved by the 2-D boundary layer theory. Therefore, a new way is opened up to solve the axially symmetrical flow in the entrance region of internal way.
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[1] Стеианов Е.И.,Об интегрцровании уравнение ламинарного пограничногослоядля движения с осевой симметрией(Институт механики Наук Союза ССР)Прцклабная Мамемамцка ц маханцка.Том Ⅺ(1947),203-204 [2] Mangier,v.w.,A transformation between the boundary layer of aaially symmctrical body and 2-D one compressible fluid,Appl.Math.and Mech.,28,4(1948),97-103,(in German) [3] 刘震北、王致清,平行圆板间径向层流进口段效应分析,应用数学和力学,5,1(1984),77-89. [4] 王致清,圆管层流与湍流进口段效应修正系数的研究,应用数学和力学,3.3(1982),393-406. [5] 张仲寅等编著,《粘性流体力学》,国防工业出版社(1982),81-89. [6] Schlichting,H.,Boundary-Layer Theory,McGcaw-Hill Book Company(1979),245-246. -
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