The Generalized Solutions in Non-Equilibrium Thermodynamics
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Generalized solutions play an important role in the modern theory of partial differential equations. The mathematical model of interdiffusion in the bounded mixture (<i>i. e.</i> layer) showing constant concentration (<i>e. g.</i> in solid or liquid solutions) and variable diffusivity of the components is presented. Using the idea of generalized solution, we will show an exact expression for the evolution of components distribution. The experimental results for ternary Co-Ni-Fe alloy are presented. We present the practical solution of the interdiffusion in multi layer materials and uphill diffusion (diffusional structures) in ternary diffusional couples of finite thickness. Presented model allows for many conclusions to be derived. The key massage is a great potential of generalized Darken model of interdiffusion in describing the mass transport in solid solutions. We show that modern mathematics now-days allows for the modelling, practical calculation and the better understanding of the real transport problems.
- Netsu Sokutei
Netsu Sokutei 24(4), 165-170, 1997-09-30
Japan Society of Calorimetry and Thermal Analysis