Flow around an ellipsoid of revolution in a harmonic coaxial vector field

We give an integral equation defining a coaxial magnetic field near the surface of a superconductive axisymmetric body and the velocity of the liquid near the surface of an axisymmetric body situated coaxially to the flow of an ideal liquid. Using this equation in the case when the axisymmetric magn...

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Bibliographic Details
Published in:Journal of applied and industrial mathematics 2012-04, Vol.6 (2), p.224-228
Main Authors: Savchenko, A. O., Savchenko, O. Ya
Format: Article
Language:English
Subjects:
Axisymmetric bodies
Computational mathematics
Density
Ellipsoids
Integrals
Law
Liquids
Magnetic fields
Mathematical analysis
Mathematics
Mathematics and Statistics
Placement
Studies
Superconductivity
Symmetry
Vector space
Velocity
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Summary:We give an integral equation defining a coaxial magnetic field near the surface of a superconductive axisymmetric body and the velocity of the liquid near the surface of an axisymmetric body situated coaxially to the flow of an ideal liquid. Using this equation in the case when the axisymmetric magnetic field before the placement of an ellipsoid of revolution coaxially to the field changed along the axis by a polynomial law, we analytically define the densities of the surface current and the force with which the magnetic field acts on the ellipsoid. Also the velocity of the liquid is determined near the surface of the ellipsoid of revolution and the force acting on the ellipsoid placed coaxially in the flow of an ideal liquid when the velocity of the liquid before the placement of the ellipsoid changed along the axis of symmetry by a polynomial law.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478912020111