By Antonio Castellanos (eds.)
The target of this publication is to supply, either the non-specialist and the professional in EHD, having the ability to extract significant info from his/her experimental info and obtain a great actual realizing, via employing the guidelines offered during this booklet. as well as supplying the medical historical past, it's also meant to take the reader to the frontiers of study during this box, so that they may match, with out attempt, into the really good literature. This e-book can be regarded as complementary to the superb remedy of EHD made within the classical booklet "Continuum Electromechanics” via Melcher, in that care has been taken to prevent overlapping of the topics. In case a subject matter is taken care of in either texts, the consequences provided within the ebook through Melcher function an creation to the extra complex remedy awarded during this book.
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Additional resources for Electrohydrodynamics
The origin of the confusion is due to the fact that there are electrical forces acting at interfaces that behave exactly in the same way as the capillary forces. The classical example is the case of a electrical double layer with dimensions on the order of nanometers, that from the macroscopic point of view can be considered as surface dipole distribution on a given surface, with dipoles parallel to n, the normal to the interface. Consider such a charged electrical double layer on a plane surface with unit length perpendicular to the paper (see fig.
In the absence of the electric field, the permanent dipole of the molecule of magnitude p 0 polarizes the continuum, thus producing a field at the position of the molecule. This new electric field, called the reaction field Eor. induces in turn a dipole in the molecule proportional to its electronic and ionic polarizability. e; = ae + a;, the sum of electronic and ionic polarizabilities. The electric field due to a dipole, Por, in the center of a cavity, is a classical problem in potential theory , and the result is Eor = fPor, f = _2_ X 4nc: 0a 3 c - co .
Castellanos 46 where f is the force per unit volume and fs is the force per unit area acting on S. Now, let us consider the forces exerting on a volume of fluid by the fluid surrounding it. Because the molecular forces are of short range, only the molecules in a layer the thickness of the order of ten times the molecular separation will be responsible for these forces. Macroscopically this distance is zero, and we may assume that these forces act on the surface. The infinitesimal force t5f acting on the element of surface, <58 = n6S with n the normal to the surface, is usually decomposed in the form t5f = -pn6S + Un6S.
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