A New Theory and its Extensive Application of the Multifold Series Expansion Analysis for the Boundary Layer Equations

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概要

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• In the preceding reports, a new theory of the multifold series expansion for the steady, laminar boundary layers has been presented. In the theory, a shortly-truncated series solution is always controlled and improved so as to give sufficiently high accuracy at every x-position under any mainstream-velocity distribution, by varying and adjusting the value of an arbitrary parameter which has been specially introduced into the series. This unique theory can be expected to be applicable to a wide range of applied-mathematical fields. The present paper intends to establish a solid foundation for those future extensive applications, namely, (1) to consolidate and complement the new theory, (2) to demonstrate that the mathematical property of the new series is perfect and most excellent in comparison with those of any other different forms of series expansion, and (3) as a demonstrative example, to apply actually the new theory to an exact analysis of the unsteady laminar flow between parallel discs with arbitrarily time-varying gap-width.

• 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.

• ISHIZAWA Shingo

  Mechanical Engineering Research Laboratory, Hitachi Ltd.

関連論文

• A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 2nd Report, Application Theory of the Euler Transformation
• A New Theory and its Extensive Application of the Multifold Series Expansion Analysis for the Boundary Layer Equations
• A New Multifold Series General Solution of the Steady, Laminar Boundary Layers : 3rd Report, Extension of the Solution to the Case of Not Smoothly joining Mainstream-Velocities
• The Flow of a Viscous Fluid through a Porous Wall into a Narrow Gap : A Consideration of the Slip of Fluid on a Porous Wall Surface
• 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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