A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 1st Report, Theory of the Multifold Series Expansion

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概要

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• A new theory of multifold series expansion analysis for steady, laminar boundary layers is presented. In the theory, the solution is given in a shortly-truncated series of the multi-parameters which involve respectively different order derivatives of the characteristic function β(ξ) , and the convergence of the shortly-truncated series solution is always controlled to best condition by varying and adjusting the value of an arbitrary parameter β_0 which has been introduced into the series. The truncated series solution in the present research consists of only four terms, nevertheless it indicates a satisfactorily high accuracy surpassing the conventional series solutions with six to nine or more terms, being comparable to a precise numerical solution. It may also be noted that the present solution necessitates neither any difference nor corrective -continuation for the neighbourhood of the point of separation, which is indispensable to the conventional series methods of solution.

• 一般社団法人日本機械学会の論文

著者

• Ishizawa Shingo

  Mechanical Engineering Research Laboratory Hitachi Ltd.

関連論文

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• The Unsteady Laminar Flow between Two Parallel Discs with Arbitrarily Varying Gap Width
• A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 1st Report, Theory of the Multifold Series Expansion
• On the Momentum-Integral Method of Solution for the Laminar Entrance-Flow Problems

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