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New Theoretical Developments in Aeroacoustics and Aerodynamics

[+] Author and Article Information
Mauricio Pazini Brandão

Aeronautical Engineering Division, Instituto Tecnológico de Aeronáutica, Centro Técnico Aeroespacial, 12228-900 São José dos Campos SP Brazil

Appl. Mech. Rev 46(11S), S79-S91 (Nov 01, 1993) doi:10.1115/1.3122661 History: Online April 29, 2009

Abstract

The Acoustic Analogy is studied regarding its application to Aerodynamics. The concept of generalized derivatives is reviewed and extended. As consequences, new versions of the generalized continuity, momentum, energy, and energy momentum conservation equations are presented. These conservation laws form a basis for theoretical ideas regarding three-dimensional, linear and non-linear, potential and non-potential, steady and unsteady flows of incompressible and compressible, inviscid and viscous fluids. Extensions made in the definition of generalized derivatives relate fluid properties to new surface terms linked to tangential flow. In integral form, some of these relations recall the classical circulation and downwash integrals of Aerodynamics. An iterative solution technique of the resulting singular integral equations is proposed.

Copyright © 1993 by American Society of Mechanical Engineers
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