Modelling chemical vapour infiltration of pyrolytic carbon as moving boundary problem

Chemical Engineering Science

Volumn 63, Issue 15, 2008, Pages 3948-3959

  Langhoff, T A ^a   Schnack, E ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

Chemical vapour infiltration; Materials processing; Mathematical modelling; Moving boundary problem

Indexed keywords

ADDITION REACTIONS; BESSEL FUNCTIONS; CARBON; COMPUTER NETWORKS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); EVOLUTIONARY ALGORITHMS; FISH; GAS DYNAMICS; GASES; GEOMETRY; GROWTH KINETICS; INFILTRATION; MATHEMATICAL MODELS; MATHEMATICAL MORPHOLOGY; NONLINEAR EQUATIONS; NUMERICAL METHODS; ONE DIMENSIONAL; PARTIAL DIFFERENTIAL EQUATIONS; REACTION KINETICS; SEEPAGE; SOIL MECHANICS; SURFACE REACTIONS; THEOREM PROVING;

(1 1 0) SURFACE; (I ,J) CONDITIONS; CHEMICAL KINETICS; CYLINDRICAL PORES; ELSEVIER (CO); EULER TIME INTEGRATION; EVOLUTION (CO); EXPERIMENTAL DATA; EXPLICIT CONSTRUCTIONS; GAS PHASE; GAS-PHASE SPECIES; GAS-SOLID; GROWTH VELOCITIES; LOCAL CURVATURE; LOW PRESSURE (LP); MOVING BOUNDARY (MB); MOVING BOUNDARY PROBLEMS; NONLINEAR COUPLED SYSTEMS; ONE-DIMENSIONAL; PARTIAL DIFFERENTIAL; PORE MODEL; POROUS SUBSTRATES; PROCESS CONDITIONS; PYROLYTIC CARBON (PYC); REACTION SCHEMES; REACTOR MODELLING; SPACE AND TIME; TEMPORAL CHANGES;

PHASE INTERFACES;

EID: 46749104405     PISSN: 00092509     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ces.2008.04.053     Document Type: Article

References (35)

1. Andrä H., Langhoff T.-A., Schnack E., and Hüttinger K.J. The role of back-mixing in the decomposition of methane. Fuel 80 9 (2001) 1273-1277
2. Becker A., and Hüttinger K.J. Chemistry and kinetics of chemical vapour deposition of pyrocarbon-IV. Pyrocarbon deposition from methane in the low temperature regime. Carbon 36 3 (1998) 213-224
3. Benzinger W., Becker A., and Hüttinger K.J. Chemistry and kinetics of chemical vapour deposition of pyrocarbon-I. Fundamentals of kinetics and chemical reaction engineering. Carbon 34 8 (1996) 957-966
4. Chang H.-C., Gottlieb D., Marion M., and Sheldon B.W. Mathematical analysis and optimization of infiltration processes. Journal of Scientific Computing 13 3 (1998) 303-321
5. Chung G.Y., McCoy B.J., Smith J.M., Cagliostro D.E., and Carswell M. Chemical vapor infiltration: modelling solid matrix deposition in ceramic-ceramic composites. Chemical Engineering Science 46 3 (1991) 723-733
6. Ditkowski A., Gottlieb D., and Sheldon B.W. On the mathematical analysis and optimization of chemical vapor infiltration in materials science. Mathematical Modelling and Numerical Analysis 34 2 (2000) 337-351
7. Domanowski P., and Kozak J. Inverse problems of shaping by electrochemical generating machining. Journal of Materials Processing Technology 109 (2001) 347-353
8. Dongarra, J., Lumsdaine, A., Pozo, R., Remington, K., 1994. A Sparse Matrix Library in C++ for High Performance Architectures. Proceedings of the Second Object Oriented Numerics Conference, pp. 214-218.
9. Georgiadou M., and Veyret D. Modelling of transient electrochemical systems involving moving boundaries. Journal of the Electrochemical Society 149 6 (2002) C324-C330
10. Hou X., Li H., Chen Y., and Li K. Modeling of chemical vapor infiltration process for fabrication of carbon-carbon composites by finite difference methods. Carbon 37 (1999) 669-677
11. Hu Z., and Hüttinger K.J. Chemical vapor infiltration of carbon-revised part II: experimental results. Carbon 39 (2001) 1023-1032
12. Hüttinger K.J. Chemical vapor deposition in hot wall reactors-the interaction between homogeneous gas-phase and heterogeneous surface reactions. Advanced Materials-CVD 10 4 (1998) 151-158
13. Jin S., and Wang X. Robust numerical simulation of porosity evolution in chemical vapor infiltration I: two space dimensions. Journal of Computational Physics 162 (2000) 467-482
14. Jin S., and Wang X. Robust numerical simulation of porosity evolution in chemical vapor infiltration II: two-dimensional anisotropic fronts. Journal of Computational Physics 179 (2002) 557-577
15. Jin S., and Wang X. Robust numerical simulation of porosity evolution in chemical vapor infiltration III: three space dimensions. Journal of Computational Physics 186 (2003) 582-595
16. Jin S., Wang X., and Starr T.L. A model for front evolution with a nonlocal growth rate. Journal of Materials Research 14 10 (1999) 3829-3832
17. Jones Jr. A.D. Profile of an unsuccessful process and the criteria for a successful process for the chemical vapor infiltration process. Applied Mathematical Modelling 30 (2006) 293-306
18. Katardjiev I.V., Carter G., Nobes M.J., Berg S., and Blom H.-O. Three-dimensional simulation of surface evolution during growth and erosion. Journal of Vacuum Science and Technology A 12 (1994) 61-68
19. Kulik V.I., Kulik A.V., Ramm M.S., and Makarov Y.N. Modeling of SiC-matrix composite formation by isothermal chemical vapor infiltration. Journal of Crystal Growth 226 (2004) 333-339
20. McAllister P., and Wolf E.E. Modelling of chemical vapor infiltration of carbon in porous carbon substrates. Carbon 29 3 (1991) 387-396
21. Merz W., and Rybka P. A free boundary problem describing reaction-diffusion problems in chemical vapor infiltration of pyrolytic carbon. Journal of Mathematical Analysis and Applications 292 (2004) 571-588
22. Middleman S. The interaction of chemical kinetics and diffusion in the dynamics of chemical vapor infiltration. Journal of Materials Research 4 6 (1989) 1515-1524
23. Midha V., and Economou D.J. A two-dimensional model of chemical vapor infiltration with radio-frequency heating. Journal of the Electrochemical Society 145 19 (1998) 3569-3580
24. Morell J.I., Economou D.J., and Amundson N.R. Chemical vapor infiltration of SiC with microwave heating. Journal of Materials Research 8 5 (1993) 1057-1067
25. Probst K.J., Besmann T.M., McLaughlin J.C., Anderson T.J., and Starr T.L. Development of a scaled-up chemical vapor infiltration system for tubular geometries. Materials at High Temperatures 16 4 (1999) 201-205
26. Reuge N., and Vignoles G.L. Modeling of isobaric-isothermal chemical vapor infiltration: effects of reactor control parameters on a densification. Journal of Materials Processing Technology 166 (2005) 15-29
27. Roman Y.G., Kotte J.F.A.K., and deCroon H.J.M. Analysis for the isothermal forced flow chemical vapour infiltration process. Part I: theoretical aspects. Journal of the European Ceramic Society 15 9 (1995) 875-886
28. Ross D.S. Ion etching: an application of the mathematical theory of hyperbolic conservation laws. Journal of the Electrochemical Society 135 5 (1988) 1235-1239
29. Saad Y., and Schultz M.H. GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM Journal of Scientific and Statistical Computing 7 (1986) 856-869
30. Sadri R.M., and Floryan J.M. Accurate evaluation of the loss coefficient and the entrance length of the inlet region of a channel. Journal of Fluids Engineering 124 (2002) 685-693
31. Sethian J.A. Curvature and the evolution of fronts. Communications in Mathematical Physics 101 (1985) 487-499
32. Sotirchos S.V. Dynamic modeling of chemical vapor infiltration. A.I.Ch.E. Journal 37 9 (1991) 1365-1378
33. Tago T., Kawase M., and Hashimoto K. Numerical simulation of the thermal-gradient chemical vapor infiltration process for production of fiber-reinforced ceramic composite. Chemical Engineering Science 56 6 (2001) 2161-2170
34. Vignoles, G.L., 2006. In: Vicenzini, P. (Ed.), Advanced Fibrous Inorganic Composites V. Advances in Science and Technology 50, 97-106.
35. Zhang W., and Hüttinger K.J. Chemical vapor infiltration of carbon-revised. Part I: model simulations. Carbon 39 7 (2001) 1013-1022