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ISSUE:    Almanac of Modern Science and Education. 2014. Issue 2
COLLECTION:    Physical-Mathematical Sciences

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SOLUTION OF HELMHOLTZ HETEROGENEOUS EQUATION FOR DISPLACEMENT OF CURRENT LINE SUBJECT TO VORTICITY

Ol'ga Anatol'evna Pyrkova
Moscow Institute of Physics and Technology (State University)


Submitted: February 10, 2014
Abstract. In this article the author considers the contribution of vorticity in flux to wake and near streamlined cylinder in the first and second approximation. The distribution of power sources on the cylinder surface, which model non-percolation condition on its surface, is used; it was received by the author in her earlier studies. The expression for the vertical displacement of current line when streaming the cylinder taking into account vorticity in the first and second approximation and simultaneously considering the distribution of power sources is received.
Key words and phrases:
завихренность
условие непротекания
силовые источники
вертикальное смещение линии тока
ряд Фурье
vorticity
non-percolation condition
power sources
vertical displacement of current line
Fourier series
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References:
  1. Пыркова О. А. Вклад от завихренности в решение неоднородного уравнения Гельмгольца для смещения линии тока в первом приближении // Альманах современной науки и образования. Тамбов: Грамота, 2013. № 2 (69). С. 151-153.
  2. Пыркова О. А. Вклад от завихренности в решение неоднородного уравнения Гельмгольца для смещения линии тока во втором приближении // Альманах современной науки и образования. Тамбов: Грамота, 2013. № 9 (76). С. 150-154.
  3. Пыркова О. А. Решение неоднородного уравнения Гельмгольца для смещения линии тока // Альманах современной науки и образования. Тамбов: Грамота, 2012. № 8 (63). С. 137-141.
  4. Noak B. R., Eckelmann H. A Low-Dimensional Galerkin Method for the Three-Dimensional Flow around a Circular Cylinder // Physics of Fluids. 1994. Vol. 6. № 1. Р. 124-142.
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