This report demonstrates the feasibility of the simultaneous determination of the chemical interdiffuslon coefficient and the effective heat of transport of Interstitial compounds, such as refractory carbides and hydrides. A mathematical model is constructed, based on the thermodynamics of irreversible processes, which represents the time-dependent interstitial diffusion process in a temperature gradient. This model is then linearized and solved analytically. The analytical solution of this model is compared to a numerical difference solution method of attacking the original problem. Conclusions derived from this study are as follows. (1) The linearized analytical solution agrees with the numerical difference solution to 13! in most cases and 37. in the worst case. (2) The sensitivity of the analytical solution to parameter variations is sufficient for leastsquares evaluations of experiments. (3) The analytical solution method is comparably superior to the numerical difference solution method in terms of accuracy and speed (50 times faster" 4 when applied to experimental data.
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