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SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2014. № 2. P. 143-146.
SCIENTIFIC AREA:    Physical-Mathematical Sciences
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SOLUTION OF HELMHOLTZ HETEROGENEOUS EQUATION FOR DISPLACEMENT OF CURRENT LINE SUBJECT TO VORTICITY

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


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. Pyrkova O. A. Vklad ot zavikhrennosti v reshenie neodnorodnogo uravneniya Gel'mgol'tsa dlya smeshcheniya linii toka v pervom priblizhenii // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2013. № 2 (69). S. 151-153.
  2. Pyrkova O. A. Vklad ot zavikhrennosti v reshenie neodnorodnogo uravneniya Gel'mgol'tsa dlya smeshcheniya linii toka vo vtorom priblizhenii // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2013. № 9 (76). S. 150-154.
  3. Pyrkova O. A. Reshenie neodnorodnogo uravneniya Gel'mgol'tsa dlya smeshcheniya linii toka // Al'manakh sovremennoi nauki i obrazovaniya. Tambov: Gramota, 2012. № 8 (63). S. 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. R. 124-142.

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