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Generation by Conformal Mappings of Aerofoil Sections and of Certain other Simple Shapes Suitable for both Aerodynamic and Stress-Concentration Problems.

Ton Tran-Cong

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Abstract

This Australian report shows that there are many practical aerofoil shapes obtainable from conformal mapping using simple techniques. Employing the results given here, it is a matter of straightforward application to calculate the pure circulation, inviscid, incompressible flow about the aerofoils of this Memo. The pressure distribution then follows directly. Two-dimensional problems of incompressible Stokes' flow about these cross sections and of stress concentration for an infinite elastic plate with a hole of these shapes can also be solved using the conformal mappings given here. Keywords: Linear elasticity; Grids; Holes(Openings).

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What this paper is about

This Australian report shows that there are many practical aerofoil shapes obtainable from conformal mapping using simple techniques. Employing the results given here, it is a matter of straightforward application to calculate the pure circulation, inviscid, incompressible flow about the aerofoils of this Memo. The pressure distribution then follows directly. Two-dimensional problems of incompressible Stokes' flow about these cross sections and of stress concentration for an infinite elastic plate with a hole of these shapes can also be solved using the conformal mappings given here. Keywords: Linear elasticity; Grids; Holes(Openings).

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Available abstract

This Australian report shows that there are many practical aerofoil shapes obtainable from conformal mapping using simple techniques. Employing the results given here, it is a matter of straightforward application to calculate the pure circulation, inviscid, incompressible flow about the aerofoils of this Memo. The pressure distribution then follows directly. Two-dimensional problems of incompressible Stokes' flow about these cross sections and of stress concentration for an infinite elastic plate with a hole of these shapes can also be solved using the conformal mappings given here. Keywords: Linear elasticity; Grids; Holes(Openings).

Key concepts: Inviscid flow, Conformal map, Airfoil, Aerodynamics, Compressibility, Incompressible flow, Mathematics, Elasticity (physics)

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Generation by Conformal Mappings of Aerofoil Sections and of Certain other Simple Shapes Suitable for both Aerodynamic and Stress-Concentration Problems. — Research Paper | ScholarLens