In this paper is presented a mathematical model of the flow around the vertical tail of an airplane, based on the general elements of the aerodynamic design, with details leading to the separate formulation of the Fourier coefficients in the series solution of the Prandtl’s lifting-line equation. Numerical results are obtained in Maple soft environment, for a standard configuration of an airplane geometry. The results include the discussion of the vortex model for the sidewash gradient on the vertical stabilizer.

Topics
Airplanes, Fourier analysis, Mathematical modeling
1.
M. R.
 
Napolitano
,
Aircraft Dynamics. From Modeling to Simulation
,
John Wiley & Sons, Inc.
,
Hoboken, NJ, USA
,
2012
.
Google Scholar
 
2.
C.
 
Rotaru
,
Nonlinear Characteristics of Helicopter Rotor Blade Airfoils: An Analytical Evaluation
,
Mathematical Problems in Engineering
, Article ID 503858,
9
pages, doi:
https://doi.org/10.1155/2013/503858
,
2013
.
Google Scholar
Crossref
Search ADS
 
3.
I.
 
Sprintu
 and
S.
 
Roateşi
, “
Experimental Validation of New Mathematical Solutions for Orthotropic Plates with Clamped Edges
”,
Proceedings of ICNAAM
,
21–27 Sept. 2013
,
Rhodes, Greece
,
AIP Proceedings
, 17 Oct. 2013, Vol.
1558
, pp.
1359
–
1362
, DOI:
https://doi.org/10.1063/1.482576
,
2013
.
Google Scholar
Crossref
Search ADS
 
4.
W. F.
 
Phillips
,
Mechanics of Flight
,
John Wiley & Sons, Inc.
,
Hoboken, New Jersey, USA
,
2010
.
Google Scholar
 
5.
T. V.
 
Chelaru
 and
M.
 
Cernat
,
Mathematical model and flight simulation for guided self-supporting gyroplane
,
Proceedings of the 9th WSEAS International Conference on Simulation, Modelling and Optimization, Book Series Mathematics and Computers in Science and Engineering
, Pages
401
–
406
, Published
2009
.
6.
C.
 
Rotaru
,
I.
 
Cîrciu
,
M.
 
Boşcoianu
,
Computational Methods for the Aerodynamic Design
,
Review of the Air Force Academy
,
12
(
17
), pp.
42
–
48
,
2010
.
Google Scholar
 
7.
C.
 
Rotaru
,
A.
 
Arghiropol
,
Maple soft solutions for nonlifting flows over arbitrary bodies
,
Proceedings of the 3rd WSEAS international conference on FINITE DIFFERENCES-FINITE ELEMENTS-FINITE VOLUMES-BOUNDARY ELEMENTS
, Volume
2769
, pp.
270
–
274
,
2010
.
Google Scholar
 
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