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Mechanical Equations

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Part of the book series: International Centre for Mechanical Sciences ((CISM,volume 380))

Abstract

Ordinary fluids may be treated as a continuous media over a wide range of pressures and temperatures. In this chapter we present the fundamentals such as the deformation and the stress tensor required to understand any deformable fluid medium. This is followed by the introduction of the conservation laws for mass and momentum in a general setting. Two good texts in fluid mechanics, where the concepts given here are discussed in great detail, are [1], [2]. A separate section, following the argument of Landau & Lifshitz [3], considers the important problem of determining the electrical forces in dielectric fluids, with either a linear or a nonlinear polarization, in the context of thermodynamics. The boundary and jump conditions are stated for electrodes and interfaces, paying special attention to the capillary phenomena. Finally, some important nondimensional numbers found in EHD are discussed in the last section.

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References

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© 1998 Springer-Verlag Wien

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Castellanos, A. (1998). Mechanical Equations. In: Castellanos, A. (eds) Electrohydrodynamics. International Centre for Mechanical Sciences, vol 380. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2522-9_3

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  • DOI: https://doi.org/10.1007/978-3-7091-2522-9_3

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-211-83137-3

  • Online ISBN: 978-3-7091-2522-9

  • eBook Packages: Springer Book Archive

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