Index_1988_Dynamics-of-Curved-Fronts

Prévia do material em texto

Inde x 
A 
Arrheniu s Law , 59 
Asymptoti c analysis , 4 5 - 5 0 , 5 5 - 5 8 
at smal l Pecle t number , 5 5 - 5 8 
at smal l supercooling , 4 5 - 5 0 
Β 
Bon d number , 23 
Burnin g velocity , 60 
C 
Capillar y number , 8, 21 
Conservatio n relation , 3 9 - 4 0 , 54 
Crystallisation , 9 
Crysta l growth , 3, 3 7 - 5 6 , 2 4 3 - 3 7 6 
in a capillary , 5 5 - 5 6 
shap e withou t surfac e tension , 4 0 - 4 2 , 
2 4 3 - 2 4 5 
surfac e tensio n effect on , 42 -50 , 297-308, 
327 -340 
Curve d flame, 6 0 - 6 1 
D 
Darc y law , 7, 22 
Dendriti c growth , 2 4 3 - 3 4 4 
Diffusio n equation , 40, 54, 1 0 5 - 1 3 0 
Diffusio n field, 39, 53 
Directiona l solidification , 9, 58, 345 -358 
Dispersio n relation , 8, 9, 10, 81 
Dynamic s of flame fronts , 4 8 9 - 4 9 8 
¯ 
Eigenvalu e problem , 4 8 - 5 0 
F 
Flame-fron t stability , 4 0 3 - 4 8 8 
Flam e propagation , 5, 5 9 - 7 1 , 1 3 1 - 1 4 0 
Flam e shape , 5 9 - 7 1 
acceleratio n of gravit y effect on , 15 
flame thicknes s effect on , 6 9 - 7 0 
Flam e structure , 5 9 - 6 0 
Flam e velocit y 
axisymmetric , 6 6 - 6 7 
of curve d flame, 15, 6 5 - 6 7 
of flat flame, 5 9 - 6 0 
two-dimensional , 6 5 - 6 6 
Free-boundar y problem , 5 2 - 5 5 , 6 1 - 6 2 
G 
Geometrica l model , 13, 309 -325 
Gibbs-Thomso n relation , 3 7 - 3 9 
Growt h rat e of perturbatio n 
for flame, 77, 5 0 7 - 5 0 9 
in needl e crystal , 86, 3 4 1 - 3 4 4 
in Saffman-Taylo r finger, 81, 83, 2 1 3 - 2 1 6 
Growt h velocity , 4 7 - 4 8 , 2 5 6 , 2 5 8 , 2 8 6 , 3 2 7 - 3 4 0 
H 
Hele-Sha w cell, 3, 21, 2 3 , 1 5 5 - 1 7 4 , 2 0 1 - 2 1 8 
I 
Integra l equations , 13, 2 6 - 2 8 , 43, 178 -180 , 
327 
Interdendriti c spacing , 3 5 3 - 3 5 8 
Interfac e dynamics , 6, 2 4 , 1 9 7 - 1 9 9 , 3 0 9 - 3 1 2 
Interfac e shap e 
at smal l capillar y number , 2 2 - 2 3 
integra l equation s for , 2 6 - 2 8 
numerica l solution s for , 2 8 - 2 9 
of needl e crystal s growth , see crysta l growt h 
stationary , 1 0 - 1 6 
surfac e tensio n effect on , 2 6 - 3 4 , 175 -196 
time-dependent , 1 9 - 2 0 
Interfacia l patter n formation , 2 3 9 - 2 4 2 
Invisci d problem , 6 2 - 6 7 
Ivantso v law, 12 
Ivantso v paraboloid , 14, 4 0 - 4 2 , 89, 2 4 3 - 2 4 5 
513 
L 
Lamella r an d ro d eutecti c growth , 363-376 
Laplac e equation , 7 
Laplac e law, 7 
Linea r stabilit y analysis , 8 8 - 9 1 
M 
Mos t unstabl e wavelengt h 
for premixe d flames , 10 
for Saffman-Taylo r interface , 8 - 9 , 157 
in Mullins-Sekerk a instability , 8 - 9 , 351 
in Rayleigh-Taylo r instability , 9 
˝ 
Narro w fingers , 2 3 5 - 2 3 8 
Needl e crystal , 13, 3 7 - 5 8 , 319-325 
Ρ 
Pecle t number , 61 
Pola r decomposition , 19, 197-199 , 4 8 9 - 4 9 8 
Propagatio n velocity , 15, 66, 68, 387, 504-506 
R 
Rayleigh-Taylo r bubble , 377-392 , 393-401 
Retrocombutio n front , 2 0 - 2 3 , 7 0 - 7 1 
S 
Saffman-Taylo r finger , 2 1 - 3 6 , 175-196 
Saffman-Taylo r instability , 219-234 , 234 -238 
Secondar y fingering , 16, 7 3 - 7 6 
Sidebranching , 263 -280 , 300-306 , 3 4 1 - 3 4 4 
Singula r perturbatio n analysis , 2 9 - 3 4 
Stability , 3 4 5 - 3 5 2 
of curve d flame , 7 6 - 8 1 
of fre e needl e crysta l growth , 8 5 - 8 8 
of lamina r premixe d flames , 4 2 5 - 4 4 3 , 
4 4 5 - 4 5 7 , 4 5 9 - 4 8 8 
of Saffman-Taylo r finger, 8 1 - 8 5 
Stoke s equation , 21 
Stabilit y criterio n 
for curve d flame, 7 9 - 8 0 , 508 -509 
for needl e crystal , 88 
for Saffman-Taylo r finger, 85 
Stabilit y threshold , 350, 439 
Surfac e tensio n 
anisotropic , 4 9 - 5 2 , 2 3 9 - 2 4 2 
effects of, 1 1 - 1 3 , 2 6 - 3 4 , 4 5 - 5 0 , 170-173 , 
1 7 5 - 1 8 9 , 297 -307 , 327 -340 
Ô 
Tip radius , 259, 286 
Ti p splitting , 16, 76, 212, 231 
W 
Wenzel-Kramers-Brilloui n (WKB ) method , 
8 5 - 8 8 , 1 9 3 - 1 9 6 , 319-325 
514 INDEX