Grain-growth kinetics

With the simplihed model for nearly spherical isolated pores on the grain boundary, the equations for the grain growth kinetics can be derived, if it is assumed that the grain growth is controlled by the pore mobility, i.e., pore control. If pore migration occurs through surface diffusion, there is 

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Making the additional approximation that Rg Rg. = 2.5 Rg, the grain growth kinetics can be shown to be parabolic, like that of Burke and Turnbull. 

Brook RJ (1969) Pores and grain growth kinetics. J Am Ceram Soc 52 339-340... 

For 2D grain growth, kinetic models generally predict a parabolic growth law of the form [13]... 

In the analysis of the grain growth kinetics, the mean boundary velocity is taken as the product of the boundary mobility and the force on the boundary, that is. 

For the simplified model consisting of nearly spherical isolated pores on the grain boundary, we can derive equations for the grain growth kinetics. Consider the... 

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