Frenkel energy balance concept

As another example, let us consider the mechanism of viscous flow. We will recall that for this mechanism, matter transport is assumed to be governed by Frenkel s energy balance concept, which can be stated as... 

A feature that arises from our consideration of the analytical models is the difference in complexity between the sintering phenomena in polycrystalline materials and amorphous materials. The analysis of viscous sintering on the basis of Frenkel s energy balance concept appears relatively simple in principle. The idealization of the structure of amorphous materials leads to analytical solutions that describe the sintering behavior in a very satisfactory manner. 

The mechanism of viscous flow is discussed as follows. For this mechanism, matter transport is governed by the concept of Frenkel s energy balance, i.e., the rate of energy dissipation by the viscous flow is equal to the rate of the energy gained by the reduction in surface area, i.e., (Rate)jjjj = (Rate)g jj. 

Theories of Viscous Sintering describes the concept of energy balance by which Frenkel first analyzed sintering, and it reviews the microstructural models that have been developed. Effects of a distribution of pore sizes and of gas trapped in the pores are considered. 

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