Panel Method Formulation for Oscillating Airfoils in Sonic Flow



Document title: Panel Method Formulation for Oscillating Airfoils in Sonic Flow
Journal: Journal of the Brazilian Society of Mechanical Sciences
Database: PERIÓDICA
System number: 000312079
ISSN: 0100-7386
Authors: 1
2
Institutions: 1Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, Sao Paulo. Brasil
2Instituto de Aeronautica e Espaco, Sao Jose dos Campos, Sao Paulo. Brasil
Year:
Volumen: 23
Number: 4
Pages: 401-409
Country: Brasil
Language: Inglés
Document type: Artículo
Approach: Experimental
English abstract The mathematical model for two-dimensional unsteady sonic flow, based on the classical diffusion equation with imaginary coefficient, is presented and discussed. The main purpose is to develop a rigorous formulation in order to bring into light the correspondence between the sonic, supersonic and subsonic panel method theory. Source and doublet integrals are obtained and Laplace transformation demonstrates that, in fact, the source integral is the solution of the doublet integral equation. It is shown that the doublet-only formulation reduces to a Volterra integral equation of the first kind and a numerical method is proposed in order to solve it. To the authors' knowledge this is the first reported solution to the unsteady sonic thin airfoil problem through the use of doublet singularities. Comparisons with the source-only formulation are shown for the problem of a flat plate in combined harmonic heaving and pitching motion
Disciplines: Física y astronomía
Keyword: Acústica,
Perfil aerodinámico,
Oscilaciones,
Flujo sónico,
Método del panel,
Aerodinámica,
Flujo no estacionario
Keyword: Physics and astronomy,
Acoustics,
Airfoil,
Oscillations,
Sonic flow,
Panel methods,
Aerodynamics,
Unsteady flow
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