Mechanical Equations

  • Antonio Castellanos
Conference paper
Part of the International Centre for Mechanical Sciences book series (CISM, volume 380)


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.


Contact Line Jump Condition Mechanical Equation Ohnesorge Number Effective Surface Tension 
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Copyright information

© Springer-Verlag Wien 1998

Authors and Affiliations

  • Antonio Castellanos
    • 1
  1. 1.University of SevillaSpain

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