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The electric double layer and electrohydrostatic surface deformation. (English) Zbl 0536.76106

Summary: A study is made of the equilibrium configuration of a liquid surface under surface tension and gravity when additionally, the liquid is electrically conducting, is under a given electrostatic field, and has at the surface an electric double layer. The essential element here is the presence of the double layer, making the problem real in the sense of being distinct from what could be approached by the classical methods, and requiring the application of relatively recent considerations concerning electrostatic force in a continuum. From the point of view of applications, the significant feature is the prediction of a double-layer effect whose dependence upon the field is essentially linear, as compared with the quadratic, purely classical effect, and in specific problems that are solved, quantitative results in this respect are obtained, of possible use experimentally.

MSC:

76W05 Magnetohydrodynamics and electrohydrodynamics
76T99 Multiphase and multicomponent flows
Full Text: DOI

References:

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