Ray theory for high-Peclet-number convection-diffusion

Citation
Sj. Chapman et al., Ray theory for high-Peclet-number convection-diffusion, SIAM J A MA, 60(1), 1999, pp. 121-135
Citations number
10
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON APPLIED MATHEMATICS
ISSN journal
00361399 → ACNP
Volume
60
Issue
1
Year of publication
1999
Pages
121 - 135
Database
ISI
SICI code
0036-1399(199912)60:1<121:RTFHC>2.0.ZU;2-I
Abstract
Asymptotic methods based on those of geometrical optics are applied to some steady convection-diffusion streamed flows at a high Peclet number. Even w ith the assumption of inviscid, irrotational flow past a body with uniform ambient conditions, the rays from which the solution is constructed can onl y be found after local analyses have been carried out near the stagnation p oints. In simple cases, the temperature away from the body is the sum of co ntributions from each stagnation point.