Abstract
This paper presents an advection-diffusion model that describes normal grain growth in 'size-sides' space. Ordinary differential equations governing the self-similar distributions at the steady state of normal grain growth are derived. By solving numerically the continuity equations (time-dependent) and the corresponding ordinary differential equations (time-independent), we get the self-similar grain size distributions in time-dependent and time-independent form. The two sets of distributions have nearly the same shape, confirming the self-consistency of the model. Some comparisons with other models and simulations are given.
Original language | English |
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Pages (from-to) | 1286-1292 |
Number of pages | 6 |
Journal | Journal of Physics D: Applied Physics |
Volume | 34 |
Issue number | 9 |
DOIs | |
Publication status | Published - May 2001 |
Keywords
- COMPUTER-SIMULATION