Modelling thermal front dynamics in microwave heating

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 67, Issue 5, 2002, Pages 419-439

  Mercado, Gema A ^a,b   Luce, Benjamin P ^c   Xin, Jack ^d  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSIDAD AUTÓNOMA DE ZACATECAS   (Mexico)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

^d UNIVERSITY OF TEXAS AT AUSTIN   (United States)

Author keywords

Front dynamics; Maxwell's wave; Microwave heating; Thermal fronts

Indexed keywords

APPROXIMATION THEORY; BOUNDARY VALUE PROBLEMS; DIFFUSION; ELECTRIC CONDUCTIVITY; MAXWELL EQUATIONS; WAVE EQUATIONS;

THERMAL FRONT DYNAMICS;

MICROWAVE HEATING;

EID: 0036812212     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/67.5.419     Document Type: Article

References (17)

1. Beatty, R.L., Sutton, W.H. & Iskander, M.F. (Eds) (1992) Microwave Processing of Materials III. Pittsburgh: Materials Research Society, 269.
2. Chen, X. (1992) Generation and propagation of interfaces in reaction-diffusion systems. Trans. Amer. Math. Soc., 334, 877-913.
3. Coleman, C.J. (1991) On the microwave hotspot problem. J. Austral. Math Soc., B 33, 1-8.
4. Fife, P. (1988) Dynamics of Internal Layers and Diffusive Interfaces, SIAM Regional Conference Series. Philadelphia: SIAM.
5. García-Reimbert, C., Minzoni, A.A. & Smyth, N.F. (1996) Effect of radiation losses on hotspot formation and propagation in microwave heating. IMA J. Appl. Math., 57, 165-179.
6. Hill, J.M. & Smyth, N.F. (1990) On the mathematical analysis of hotspots arising from microwave heating. Math. Engng Industry, 2, 267-278.
7. Kriegsmann, G.A. (1997) Cavity effects in microwave heating of ceramics. SIAM J. Appl. Math..
8. Kriegsmann, G.A. & Varatharajah, P. (1993) Formation of hot spots in microwave heated ceramic roads. Microwaves: Theory and Applications in Materials Processing II, Ceramic Transactions 36. (D.E. Clark, W.R. Tinga & J.R Laia, eds). Westerville: The American Ceramic Society, pp. 382-400.
9. Kriegsmann, G.A., Brodwin, M.E. & Watters, D.G. (1990) Microwave heating of a ceramic half space. SIAM J. Appl. Math., 50, 1088-1098.
10. Mercado, G.A. (1999) Hotspot dynamics in microwave heating, Dissertation Thesis, Interdisciplinary Program in Applied Mathematics, University of Arizona.
11. Meredith, R.J. (1998) Engineers' Handbook of Industrial and Microwave Heating. The Institution of Electrical Engineers.
12. Metaxas, A.C. & Meredith, R.J. (1983) Industrial Microwave Heating, I.I.E. Power Engineering Series, 4. London: Perter Peregrimus.
13. Pelesko, J.A. & Kriegsmann, G.A. (1997) Microwave heating of ceramic laminates. J. Engng Math., 32, 1-18.
14. Pincombe, A.H. & Smyth, N.F. (1991) Microwave heating of materials with low conductivity. Proc. R. Soc. A, 433, 479-498.
15. Smyth, N.F. (1990) Microwave heating of bodies with temperature dependent properties. Wave Motion, 12, 171-186.
16. Tian, Y.L. (1991) Practices of ultra-rapid sintering of ceramics using single mode applicators. Microwaves: Theory and Practice in Microwave Processing, Ceramic Transactions 21. (D.E. Clark, F.D. Gac & W.N. Sutton, eds). Westerville: American Ceramic Society, pp. 283-300.
17. Watters, D.G. (1989) An advanced study of microwave sintering, Ph.D. Dissertation, Northwestern University.