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Computation of the Added Masses of an Unconventional Airship
Joint Authors
Azouz, Naoufel
Chaabani, Said
Lerbet, Jean
Abichou, Azgal
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-14
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This paper presents a modelling of an unmanned airship.
We are studying a quadrotor flying wing.
The modelling of this airship includes an aerodynamic study.
A special focus is done on the computation of the added masses.
Considering that the velocity potential of the air surrounding the airship obeys the Laplace's equation, the added masses matrix will be determined by means of the velocity potential flow theory.
Typically, when the shape of the careen is quite different from that of an ellipsoid, designers in preprocessing prefer to avoid complications arising from mathematical analysis of the velocity potential.
They use either complete numerical studies, or geometric approximation methods, although these methods can give relatively large differences compared to experimental measurements performed on the airship at the time of its completion.
We tried to develop here as far as possible the mathematical analysis of the velocity potential flow of this unconventional shape using certain assumptions.
The shape of the careen is assumed to be an elliptic cone.
To retrieve the velocity potential shapes, we use the spheroconal coordinates.
This leads to the Lamé's equations.
The whole system of equations governing the interaction air-structure, including the boundary conditions, is solved in an analytical setting.
American Psychological Association (APA)
Azouz, Naoufel& Chaabani, Said& Lerbet, Jean& Abichou, Azgal. 2012. Computation of the Added Masses of an Unconventional Airship. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993585
Modern Language Association (MLA)
Azouz, Naoufel…[et al.]. Computation of the Added Masses of an Unconventional Airship. Journal of Applied Mathematics No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-993585
American Medical Association (AMA)
Azouz, Naoufel& Chaabani, Said& Lerbet, Jean& Abichou, Azgal. Computation of the Added Masses of an Unconventional Airship. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-993585
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993585