有吸除的层流边界层问题
On Laminar Boundary Layers with Suction
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摘要: 本文对于有吸除的普遍层流边界层方程求得其渐近解,然后推导了位移厚度、动量厚度和表面摩擦的计算公式.此外还处理了确定分离点位置的问题.最后以具有恒定吸除的平板均匀绕流情形为例,就某些边界层特征参数作了数值计算,我们所得的结果与Iglisch获得的结果很好地符合.Abstract: In this paper, we obtain the asymptotic solution of the general equation for laminar boundary-layer flows with suction. Formulae for calculating the displacement thickness, momentum thickness, and skin friction are then derived. And further, the problem of determining the separation point is dealt with. Finally, as a numerical example, we compute certain characteristic boundary-layer parameters for the case of uniform flow over flat plate with constant suction. Our numerical results obtained are in good agreement with those of Iglisch's.
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[1] Meksyn,D.,Integration of the boundary-layer equations,Proc.Roy.Soc.,A237(1956),543-559. [2] Meksyn,D.,New Methods in Laminar Boundary-Layer Theory,Pergamon Press,Oxford(1961). [3] Meksyn,D.,the boundary-layer equation for axially symmetric flow past a body of revolution-motion of a sphere,J.Aero/Space Sci.,25(1958),631-634,664. [4] Meksyn,D.,The boundary layer equation of compressible flow.Separation,Z.angew.Math.Mech.,38(1958),372-379. [5] Iglisch,R.,Exact calculation of laminar boundary layer in longitudinal flow over a flat plate with homogeneous suction,NACA Tech.Memor.,No.2205,(1949). [6] Schlichting,H.,Grenzschicht-Theorie,5. Aufl.,G.Braun,Karlsruhe(1965). -
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