A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 2nd Report, Application Theory of the Euler Transformation
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In the first report, a new theory of multifold series expansion for the steady, laminar boundary layers has been presented. The theory covers the general case that the mainstream velocity varies arbitrarily, but it necessitates, for a high rate of variation of the mainstream velocity, some improvement for the convergence of the series. In this report, it is confirmed that the narrow-sense Euler transformation is best suited and effective to the present series, and an application theory is presented, in which the procedure of determining the proper position of the leading term of transformation and also the proper number of the repeating times is given by means of a unique analytical consideration. By this research, the Euler transformation, of which application rules have not been established to date, can now be made available with exactness, reliability and easiness, so that applicability of the present multifold series expansion theory is extended extremely with sufficient accuracy comparable to a precise numerical solution.
- 一般社団法人日本機械学会の論文
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関連論文
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