SPLINE-FUNCTIONS IN THE TASK OF THE FLOW AIRFOIL PROFILE

Authors

  • Mikhail Lopatjuk Kyiv State Maritime Academy named after hetman Petro Konashevich-Sahaydachny

DOI:

https://doi.org/10.18372/2306-1472.57.5536

Keywords:

airfoil profile, spline-function, the potential flow, velocity at the profile contour

Abstract

The method and the algorithm of solving the problem of streamlining are presented. Neumann boundary problem is reduced to the solution of integral equations with given boundary conditions using the cubic spline-functions

Author Biography

Mikhail Lopatjuk, Kyiv State Maritime Academy named after hetman Petro Konashevich-Sahaydachny

Lopatjuk Mikhail. Candidate of Engineering. Associate Professor.

Department of Mathematics, Kyiv State Maritime Academy named after hetman Petro Konashevich-Sahaydachny, Kyiv, Ukraine.

Education: Faculty of Mechanics and Mathematicity, Kyiv National University named after Taras Shevchenko (1974).

Research areas: applied mathematics, aerodynamics and gas dynamics of aircraft

References

Lopatjuk, M.M. 2011. Spline - functions in hydroaeromechanics problems. Kyiv, Water Transport. KDAVT scientific papers collection. N 2 (15): 147150 (in Ukrainian).

Lopatjuk, M.M. 2011. The mathematics model of the limited span wing using the spline-functions. Materials X International Scientific and Technical Conference “AVIA-2011”. Kyiv, National Aviation University. Vol. 1: 6.346.37 (in Ukrainian).

Pavlovets, G.A. 1971. Methods of calculation of wing sections streamlining of perfect incompressible flow. Moscow, Proceedings of the TsAGI. Vol. 1344 (in Russian).

Zavialov, J.S.; Kvasov, B.I.; Miroshnichenko, V.L. 1980. Methods of spline - functions. Moscow, Nauka. 352 p. (in Russian).

Published

21-01-2014

How to Cite

Lopatjuk, M. (2014). SPLINE-FUNCTIONS IN THE TASK OF THE FLOW AIRFOIL PROFILE. Proceedings of National Aviation University, 57(4), 53–55. https://doi.org/10.18372/2306-1472.57.5536

Issue

Section

MODERN AVIATION AND SPACE TEHNOLOGY