Solutions of the Integro-Differential Equation for a Thin Jet-Flapped Aerofoil
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概要
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The integro-differential equation for a thin jet-flapped aerofoil was derived by Spence (Proc. Roy. Soc., London A-238 (1956), p.46). Its numerical and asymptotic solutions have been obtained, but the existence of solutions has not been discussed yet, since the governing equation is singular. In the present paper, we derive an integral equation of the Fredholm type of the second kind which is not singular from the original integro-differential equation. We further prove the existence and uniqueness of the solution and derive the asymptotic solutions. Comparing with earlier works, we show that earlier asymptotic solutions obtained by the method of matched asymptotic expansions are reasonable.
- 一般社団法人日本機械学会の論文
- 1994-08-15
著者
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Kida Teruhiko
Department Of Energy Systems Engineering Osaka Prefecture University
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Kida Teruhiko
Department Of Energy Systems Engineering University Of Osaka Prefecture
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Take Takanori
Department of Mechanical Engineering, Shiga Junior College
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Take Takanori
Department Of Mechanical Engineering Shiga Junior College
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TAKE Takanori
Department of mechanical Engineering , Shiga Prefectural junior College
関連論文
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- Solutions of the Integro-Differential Equation for a Thin Jet-Flapped Aerofoil
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- Asymptotic Solutions for Three-Dimensional Low Reynolds Number Flow around an Impulsively Started Sphere
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- Integral Approach of Asymptotic Expansions for Low Reynolds Number Flow Past an Arbitrary Cylinder
- Asymptotic Expansions for Low Reynolds Number Flow past a Cylindrical Body