Flow around an ellipsoid of revolution in a harmonic coaxial vector field |
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Authors: | A O Savchenko O Ya Savchenko |
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Institution: | 1.Institute of Computational Mathematics and Mathematical Geophysics,Novosibirsk,Russia;2.Novosibirsk State University,Novosibirsk,Russia |
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Abstract: | 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. |
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