Theory of Electroviscoelasticity

Abstract As a central part of this book, a theory of electroviscoelasticity is postulated. The terms electroviscosity and electroviscoelasticity are introduced because the events and phenomena at small separations need to consider electron transfer. The basic principles involved are derived from hydrodynamics and electrodynamics and may be called electrohydrodynamics. As an introduction, the existence of multiphase dispersed systems and/or their forms of “instabilities” are presented using a classical approach, then a new approach to understanding the existence of finely dispersed systems is suggested and corresponding forms of “instabilities” are introduced. The classical assumptions for interfacial tension structure and for partition function are consulted, then new postulated assumptions for an electrical analogue are formulated. The structure and dynamics of liquid-liquid finely dispersed systems is discussed and necessary physical and mathematical formulations are developed. Finally, a brief introduction of the fractional order calculus is presented and used in an effort to generalize the solutions based on integer order calculus.

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