Application of the M^2-Expansion Method to Compressible Flow past Isolated and Lattice Aerofoils

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概要

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• In this paper two-dimensional compressible flow past an arbitrary aerofoil in unlimited fluid or past a straight lattice of aerofoils is considered on the basis of the M^2-expansion method, which consists in expanding various quantities in powers of M^2, M being the Mach number. The general expressions for the velocity components at any point in the field of flow are obtained, which are correct to M^4 for an isolated aerofoil and to M^2 for a wing lattice respectively. In particular, the formulae giving the velocity distribution on the surface of the aerofoil are of such a simple form that the numerical calculation for any arbitrary aerofoil or lattice of aerofoils is no longer a prohibitive work as generally believed. As an interesting special case, the flow past a symmetrical aerofoil placed symmetrically in a channel is also considered, which was previously dealt with by Goldstein and Lighthill by means of a different method.

• 社団法人日本物理学会の論文
• 1957-01-05

著者

• Imai Isao

  Institute For Fluid Dynamics And Applied Mathematics University Of Maryland:university Of Tokyo

関連論文

• Application of the M^2-Expansion Method to Compressible Flow past Isolated and Lattice Aerofoils

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