Panel Method Formulation for Oscillating Airfoils in Sonic Flow



Título del documento: Panel Method Formulation for Oscillating Airfoils in Sonic Flow
Revista: Journal of the Brazilian Society of Mechanical Sciences
Base de datos: PERIÓDICA
Número de sistema: 000312079
ISSN: 0100-7386
Autores: 1
2
Instituciones: 1Instituto Tecnologico de Aeronautica, Sao Jose dos Campos, Sao Paulo. Brasil
2Instituto de Aeronautica e Espaco, Sao Jose dos Campos, Sao Paulo. Brasil
Año:
Volumen: 23
Número: 4
Paginación: 401-409
País: Brasil
Idioma: Inglés
Tipo de documento: Artículo
Enfoque: Experimental
Resumen en inglés 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
Disciplinas: Física y astronomía
Palabras clave: 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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