Uniqueness of the bounded flow solution in aerodynamics

We discuss uniqueness for steady incompressible inviscid flows past a body with a sharp trailing edge TE, with particular regard to multiconnected (toroidal) 3D wing configurations. Boundedness of the velocity field at TE is enforced by means of a singularity removal principal (Kutta condition). The...

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Bibliographic Details
Published inComputational mechanics Vol. 22; no. 1; pp. 12 - 18
Main Authors BASSANINI, P, CASCIOLA, C. M, LANCIA, M. R, PIVA, R
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 01.07.1998
Berlin Springer Nature B.V
Subjects
Aerodynamics
Applied fluid mechanics
Exact sciences and technology
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
Incompressible flow
Physics
Topology
Trailing edges
Uniqueness
Velocity distribution
Singularity
Wing
Vortex shedding
Three dimensional flow
Non viscous fluid
Toroidal shape
Aerodynamics
Velocity distribution
Incompressible fluid
Uniqueness theorem
Trailing edge
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Summary:We discuss uniqueness for steady incompressible inviscid flows past a body with a sharp trailing edge TE, with particular regard to multiconnected (toroidal) 3D wing configurations. Boundedness of the velocity field at TE is enforced by means of a singularity removal principal (Kutta condition). The resulting bounded flow solution is unique for 2D airfoils and 3D conventional wings. For toroidal bodies the flow depends on the available eigensolution which, however, has no direct influence on the lift. In this multiconnected case uniqueness of the bounded solution is shown to depend on the topology of the trailing edge.
ISSN:0178-7675
1432-0924
DOI:10.1007/s004660050333