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  • 1
    Digitale Medien
    Digitale Medien
    Springer
    Computational mechanics 24 (1999), S. 138-147 
    ISSN: 1432-0924
    Quelle: Springer Online Journal Archives 1860-2000
    Thema: Maschinenbau
    Notizen: Abstract Considering unsteady potential flows, the fluid velocity regularity condition at a wake shedding edge – often referred to as the Kutta-Joukovski condition – has been clarified in the 2D nonlinear and 3D linearized cases only, and the usual nonlinear direct numerical approaches, as they are built on an already discretised view of the problem, skip over the theoretical question. A nonlinear Kutta-Joukovski condition is proposed here for unsteady 3D flows around thin airfoils, for which the body and its trailing-edge-shed wake are represented by double layers. The fluid velocity field, deriving from the potential function, is expressed using the two usual terms, relating to the edge of the sheet and its surface. Removing the singularity for the first term leads to the well-known condition for the potential jump across the shedding edge to be continuous from the body to the wake. For the second, works by Legras, for the steady case – and readily extendible to the unsteady one – exhibit its logarithmic singular behavior and allow to derive a regularity condition that deals with the surface gradient of the potential jump across the shedding edge. Lastly, implemented in a general non linearized situation, these conditions lead to an expression relating the geometric and doublets distribution characteristics of the two surfaces (wing and wake).
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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  • 2
    Digitale Medien
    Digitale Medien
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 26 (1998), S. 177-197 
    ISSN: 0271-2091
    Schlagwort(e): unsteady flow ; lifting-line ; numerical computation ; Engineering ; Numerical Methods and Modeling
    Quelle: Wiley InterScience Backfile Collection 1832-2000
    Thema: Maschinenbau
    Notizen: This paper presents the basis of a computational time-marching approach, for large-aspect ratio lifting systems submitted to unsteady motions, using the lifting-line concept. When engineering requires such an approach, quasi-steady ones are currently encountered, which are based on Prandtl's lifting-line approach for steady flows. The results of recent theoretical works on the unsteady lifting-line, based on the matched asymptotic expansion technique, allow one to improve, on sound theoretical foundations, this quasi-steady approach. The proposed approach solves a first-order approximation of the unsteady outer problem for the time-evolution of the spanwise circulation distribution along the lifting-line. It introduces, in the same kind of process as Prandtl's one, for each span section, an unsteady two-dimensional description of the aerofoil behaviour together with a formulation for the three-dimensional unsteady induced velocity on the lifting-line. The approach's validity is examined through a simple numerical implementation for three wing motion cases. Considering the numerical results it produces, it can be stated that the unsteady lifting-line model implementation can be considered as time-consistent, whereas the quasi-steady one cannot. Furthermore, the approach presented here allows large time steps, even for very unsteady wing motions, and compares favourably with some classical results of R. T. Jones. © 1998 John Wiley & Sons, Ltd.
    Zusätzliches Material: 13 Ill.
    Materialart: Digitale Medien
    Bibliothek Standort Signatur Band/Heft/Jahr Verfügbarkeit
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