ASYMPTOTIC SOLUTION FOR NONLINEAR CHEMICAL-VAPOR-DEPOSITION PROBLEMS

Citation
B. Cassis et al., ASYMPTOTIC SOLUTION FOR NONLINEAR CHEMICAL-VAPOR-DEPOSITION PROBLEMS, Quarterly of applied mathematics, 51(3), 1993, pp. 585-597
Citations number
6
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
0033569X
Volume
51
Issue
3
Year of publication
1993
Pages
585 - 597
Database
ISI
SICI code
0033-569X(1993)51:3<585:ASFNCP>2.0.ZU;2-F
Abstract
The problem of chemical vapor deposition involving reaction kinetics o f any order n at a heated substrate is considered. The deposition proc ess is then described by a convective diffusion equation, coupled to n onlinear boundary conditions, describing the chemical reaction taking place at the heated substrate, where the nonlinearity is given in term s of the order n of the reaction kinetics. We derive boundary layer eq uations and use a combination of perturbation and similarity methods t o find the deposition rate along the susceptor.