Note on the Physical Basis of the Kutta Condition in Unsteady Two-Dimensional Panel Methods
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-08-12
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
Force generation in avian and aquatic species is of considerable interest for possible engineering applications.
The aim of this work is to highlight the theoretical and physical foundations of a new formulation of the unsteady Kutta condition, which postulates a finite pressure difference at the trailing edge of the foil.
The condition, necessary to obtain a unique solution and derived from the unsteady Bernoulli equation, implies that the energy supplied for the wing motion generates trailing-edge vortices and their overall effect, which depends on the motion initial parameters, is a jet of fluid that propels the wing.
The postulated pressure difference (the value of which should be experimentally obtained) models the trailing-edge velocity difference that generates the thrust-producing jet.
Although the average thrust values computed by the proposed method are comparable to those calculated by assuming null pressure difference at the trailing edge, the latter (commonly used) approach is less physically meaningful than the present one, as there is a singularity at the foil trailing edge.
Additionally, in biological applications, that is, for autonomous flapping, the differences ought to be more significant, as the corresponding energy requirements should be substantially altered, compared to the studied oscillatory motions.
American Psychological Association (APA)
La Mantia, M.& Dabnichki, Peter. 2015. Note on the Physical Basis of the Kutta Condition in Unsteady Two-Dimensional Panel Methods. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074534
Modern Language Association (MLA)
La Mantia, M.& Dabnichki, Peter. Note on the Physical Basis of the Kutta Condition in Unsteady Two-Dimensional Panel Methods. Mathematical Problems in Engineering No. 2015 (2015), pp.1-8.
https://search.emarefa.net/detail/BIM-1074534
American Medical Association (AMA)
La Mantia, M.& Dabnichki, Peter. Note on the Physical Basis of the Kutta Condition in Unsteady Two-Dimensional Panel Methods. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-8.
https://search.emarefa.net/detail/BIM-1074534
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1074534