# On the shape and stability of a conducting fluid drop rotating in an electric field

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### Cites background or methods from "On the shape and stability of a con..."

...(5.6) Even though our numerical results do not match the Rosenkilde and Randall approximate theoretical solutions for large values of the parameters, they are still linearly related in the ( L2, E2∞ ) -space (see Fig....

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...3 Comparison between our numerical experiments and theoretical solutions by Rosenkilde and Randall ratio, α = rpolar/requat ....

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...We also present several methods to obtain approximate equilibrium solutions and compare them with those introduced by Rosenkilde and Randall (17, 18), who used an appropriate extension of Chandrasekhar’s virial method when rotation takes place at constant angular velocity....

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...Therefore, we can obtain from numerical results representations of the functions h and g appearing in (5.5) that are more accurate than those given by Rosenkilde and Randall....

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...The formula deduced in (18) that gives the relationship between the angular momentum and the electric field is:...

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2,792 citations

### "On the shape and stability of a con..." refers background or methods or result in this paper

...The configurations which comprise }he abscissa form the sequence of prolate spheroidal shapes that have been investigated by TaYnou [ 4 ], t~OS~NKILD~ [5], and BI~AZI~R-S~ITK [6]....

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...At the other extreme near the unstable point E in Fig. 2 (x ~ 0.18), TAYLO~ [ 4 ] has argued that the elongated ends of a drop develop conical points prior to the appearance of a narrow jet....

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...There also have been studies of isolated, non-rotating dielectric fluid drops in uniform eleetrie fields by TaYLoR [ 4 ], tgOS~XKILD~ [5], and BR~ZlE~-S~ITK [6], [7], [8]....

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...This conclusion agrees with the results of earlier investigations of the limiting case with no rotation [ 4 ], [5], [6]....

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...which was used by TAYLOIr [ 4 ] and ROS~KILDE [5], has the disadvantage of not being monotonic in the present case....

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