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首页> 外文期刊>Zeitschrift fur Angewandte Mathematik und Mechanik >Generalized three-dimensional flow due to a stretching sheet
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Generalized three-dimensional flow due to a stretching sheet

机译：拉伸片引起的广义三维流动

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摘要

The three-dimensional steady, laminar flow due to stretching of a sheet is considered. The governing equations of motion admit a similarity solution. By drawing an analogy with the flow due to a rotating disk it is demonstrated that the resulting boundary value problem admits a solution in terms of series of exponentially decaying functions. The solution is highly efficient and very accurate, as it eliminates the need of replacing numerical infinity in the range of integration by a finite value. Two perturbation solutions are also developed when the primary flow corresponds to the two-dimensional case and the axisymmetric case. In each case the expansion is obtained up to the second degree term of the perturbation parameter. Finally, an approximate solution is derived, which is very simple and highly accurate. (C) 2003 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim. [References: 18]
机译：考虑了由于片材的拉伸而产生的三维稳定层流。运动的控制方程式具有相似性解决方案。通过对由旋转圆盘引起的流动进行类比，证明了所产生的边界值问题允许采用一系列指数衰减函数进行求解。该解决方案高效且非常准确，因为它消除了用有限值替换积分范围内的数值无穷大的需求。当主流动对应于二维情况和轴对称情况时，还产生了两种摄动解。在每种情况下，都可以扩展到摄动参数的第二次项。最后，得出了一个非常简单且非常准确的近似解。 （C）2003 WILEY-VCH Verlag GmbH＆Co.KGaA，Weinheim。 [参考：18]

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