A concise derivation of the contact conditions at a migrating sharp interface

Abstract

A sharp interface model can be used to simulate the kinetics of diffusional phase transformations provided the transformation process is controlled by migration of the interface and by diffusion of components in the bulk phases only. The contact conditions at the migrating sharp interface can be derived by applying the principles of mass balance and maximum dissipation. A concise derivation of the contact conditions on this basis is presented in this work.

Keywords:

• phase transformations
• diffusion
• contact conditions
• principle of maximum dissipation

Acknowledgements

The author expresses his gratitude to Dr Jiří Svoboda (Institute of Physics of Materials, Brno) and Prof. F.D. Fischer (Montanuniversität Leoben) for encouragement and valuable comments.