Electrically Charged Conducting Drops Revisited
نویسنده
چکیده
Since its publication in 1882, Rayleigh's work on electrically charged conducting drops has been widely quoted, but its rigorous derivation has not been given in the literature. By means of the domain perturbation technique, this work presents a rigorous derivation of Rayleigh's results, following his approach with Lagrange's equation. With the systematic procedure, it becomes explicit that the first-order surface deformations result in a deviation of the drop surface potential of only second-order significance. Besides providing mathematical details, this work also reveals an apparent error in Rayleigh's original result for two-dimensional (cylindrical) drops.
منابع مشابه
Shapes and Fissility of Highly Charged and Rapidly Rotating Levitated Liquid Drops.
We use diamagnetic levitation to investigate the shapes and the stability of free electrically charged and spinning liquid drops of volume ∼1 ml. In addition to binary fission and Taylor cone-jet fission modes observed at low and high charge density, respectively, we also observe an unusual mode which appears to be a hybrid of the two. Measurements of the angular momentum required to fission a ...
متن کاملExternally applied electric fields up to 1.6 × 10(5) V/m do not affect the homogeneous nucleation of ice in supercooled water.
The freezing of water can initiate at electrically conducting electrodes kept at a high electric potential or at charged electrically insulating surfaces. The microscopic mechanisms of these phenomena are unknown, but they must involve interactions between water molecules and electric fields. This paper investigates the effect of uniform electric fields on the homogeneous nucleation of ice in s...
متن کاملCoalescence and Breakup of Oppositely Charged Droplets
The coalescence process of oppositely charged drops for different electrical conductivities of liquids is presented. When the electrical conductivity was relatively low, oppositely charged drops failed to coalesce under sufficiently high electrical fields and capillary ripples were formed on the surfaces of droplets after rebound. For a high electrically conductive liquid, it was found that a c...
متن کاملThe In-Flight Breakup of Drops Subjected to Electric and Ionic Fields of DC Corona Discharge
In-Flight ElectroSpraying (IFES) is a novel approach to generate electrically charged micrometer-sized and/or nanometer-sized progeny drops in a controlled manner. This is accomplished in ight, beginning with millimeter-sized parent drops. The breakup of charged drops that is exploited in IFES also occurs (sometimes unwantedly) in conventional electrospraying, electrospinning, and electrospray ...
متن کاملInside Charged Black Holes I. Baryons
An extensive investigation is made of the interior structure of self-similar accreting charged black holes. In this, the first of two papers, the black hole is assumed to accrete a charged, electrically conducting, relativistic baryonic fluid. The mass and charge of the black hole are generated selfconsistently by the accreted material. The accreted baryonic fluid undergoes one of two possible ...
متن کامل