Abstract
Buoyant flow of an optically thick fluid representative of molten glass or an oxide crystal melt is solved via a finite element method using four different radiation models - the Rosseland diffusion approximation with and without radiation slip, the P1 approximation, and a rigorous numerical treatment. The results indicate that both diffusion approximations fail to accurately predict thermal and flow fields in this problem due to their inability to represent thermal boundary layers. However, the P1 approximation matches well with the rigorous numerical solution. This accuracy, coupled with implementation ease, favors the P1 approximation for solution of problems of this type.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1405-1415 |
| Number of pages | 11 |
| Journal | International Journal of Heat and Mass Transfer |
| Volume | 41 |
| Issue number | 11 |
| DOIs | |
| State | Published - Jun 1998 |
Bibliographical note
Funding Information:Acknowledgements-This work was supported in part by the National Science Foundation under grant number DMR-9058386 and the Microgravity Sciences Program of the National Aeronautics and Space Administration. Computational resources were provided by the University of Minnesota Supercomputer Institute and the Army High Performance Computing Research Center under the auspices of the Department of the Army, Army Research Laboratory cooperative agreement DAAHO4-95-2-0003/contract DAAHO4-95-C-0008, the content of which does not necessarily reflect the position or policy of the government, and no official endorsement should be inferred. We also wish to thank K. Edwards for timely help in assembling the figures for this manuscript.