Détermination de profils de température pendant la détonation d'un explosif liquide, le nitrométhane
Texte intégral
(2) INSTITUT NATIONAL DE RECHERCHE EN INFORMATIQUE ET EN AUTOMATIQUE. Détermination de profils de température pendant la détonation d’un explosif liquide, le nitrométhane François Clément — Guy Chavent. N° 4641 Novembre 2002. ISSN 0249-6399. ISRN INRIA/RR--4641--FR. THÈME 4. apport de recherche.
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(7) . . Unité de recherche INRIA Rocquencourt Domaine de Voluceau, Rocquencourt, BP 105, 78153 Le Chesnay Cedex (France) Téléphone : +33 1 39 63 55 11 — Télécopie : +33 1 39 63 53 30.
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te.xzrtp}lv^uNlmw±e.e2p}omuygywd¬Puz¬bd¬ tuy¬e.¬p}¬r|lq¨N¬n¬g{¤¬r|¬bd¥¬uy¬ tlm¬¨Bnd¬g¬{f¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬Z¬¬ =y} 3 hL £¤£¤u^u^gfgf³.³.fflvlvggwBwBrtrt{{ ~_~_§§ p}p}{|{|uyuy t txzxzrtrtlvlvuNuNw±w±e2 tgfuyoqpswdr|uzlvª¸{bd¬¯ tuy¬e.¬p}¬r|lq¨N¬n¬g{¬e2¬u ¬~ ¬¥fom¬lm{|¬¥{¬¬7¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ZZ¬ =d=!= M 77ndnde2e2lvlvwwp}p}wwffgg{{r|e2bu ¥f~uy t¥flqom¨Nlm{|n¥fgg{{f¬¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬Z¬¬Z=y= M WFU |g!u {|Yndom |{'gf{uyge2dpyxdomgr|rg{{¬¼~ p}¬w{¬om¬g¬fpN¬{¬¬x¬uNnd¬ '¬omp(¬r¬p}¬dom¬g¬ |¥¬ynd¬omlm¬cf t¬gy¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬Z¬Z¬ =y=y yd FUFUgg{|{|ndnd | |gg{{eJd |u n~ l«rt¥¥fovglq{|{¥f¬g{¬¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ hNh L N!= $FUuNglv{|wBndrt |{glm{wdlvlvwdr|lqlvp}r|nzlqp}omgx{!uNxnduN 'ndo '§ lmow^§ ylmwBgfN gf{|lv uN{,wlmuyw~ py~ wp}{wov{govgpy{pyy{¬ y¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ hNhcM } hL $FUuNglv{|wBndrt |{glm{wdlvlvwdr|lqlvp}r|nzlqp}omgx{!uNxnduN 'ndo '§ lmow^§ ylmwBgfN gf{|lv uN{,wlmuyw~ py~ wp}{wov{govgpy{'pyz{'¬ z¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ hNhN y M $FUuNglv{|wBndrt |{glm{wdlvlvwdr|lqlvp}r|nzlqp}omgx{!uNxnduN 'ndo '§ lmow^§ ylmwBgfN gf{|lv uN{,wlmuyw~ py~ wp}{wov{govgpy{py=d{ ¬ =d¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬dd¬ L}Lz yy $FUuNglv{|wBndrt |{glm{wdlvlvwdr|lqlvp}r|nzlqp}omgx{!uNxnduN 'ndo '§ lmow^§ ylmwBgfN gf{|lv uN{,wlmuyw~ py~ wp}{wov{govgpy{pyh{¬ h¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬d¬¬dLyL%= =N [pyovgnd {'{,lmwdynovlmcf tg{x?uynd 'omg{'{|gfxzr!xp} p}e2¥rt |lq{|p}r|lmuyw ~ p}w{omgfpN{y¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬d ¬¬ LLMM = Wov¥eJgwBrt{!{|lvwyndomlvg t{x?uynd 'omg{!xp} p}e2¥rt |lq{tpsr|lmuyw{ ~ gwlvNgp}n# ~ p}w{ovgfpN{y¬)¬¬¬¬¬¬¬¬¬¬¬¬¬d =B Wov¥eJgwBrt{!{|lvwyndomlvg t{x?uynd 'omg{!xp} p}e2¥rt |lq{tpsr|lmuyw{ ~ gwlvNgp}n ~ p}w{ovgfpN{y¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬dL} == Wov¥eJgwBrt{!{|lvwyndomlvg t{x?uynd 'omg{!xp} p}e2¥rt |lq{tpsr|lmuyw{ ~ gwlvNgp}X n = ~ p}w{ovgfpN{y¬)¬¬¬¬¬¬¬¬¬¬¬¬¬d¬ L} =yh Wov¥eJgwBrt{{,lmwdynovlmgf {¤pynz2xuNlvwBrt{¤lmwdl«rtlmpynzHx?uynd ompxp} p}e2¥rt |lq{tpsr|lmuywHfuye2xdomcrtg ~ g¦wdlvNgpyn = ~ pyw{Womg¦py{¦y¬y = L [pyovgnd {'{,lmwdynovlmcf tg{x?uynd 'omg{'{|gfxzr!xp} p}e2¥rt |lq{|p}r|lmuyw{ ~ pyw{ovgpy{!d¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ d =N Wov¥eJgwBrt{!{|lvwyndomlvg t{x?uynd 'omg{!xp} p}e2¥rt |lq{tpsr|lmuyw{ ~ gwlvNgp}n# ~ p}w{ovgfpN{!z¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬ d =cM Wov¥eJgwBrt{!{|lvwyndomlvg t{x?uynd 'omg{!xp} p}e2¥rt |lq{tpsr|lmuyw{ ~ gwlvNgp}n ~ p}w{ovgfpN{!z¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬ N =N Wov¥eJgwBrt{!{|lvwyndomlvg t{x?uynd 'omg{!xp} p}e2¥rt |lq{tpsr|lmuyw{ ~ gwlvNgp}nX= ~ p}w{ovgfpN{!z¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬ != hBh=N W[Wpyovov¥¥oveJeJgndgg wBwB{'rtrt{,{{!lmwd{,{|lmlvywdwnyyovnndlmcfovomlm tlvgfgg t{{¤{x?pyx?uynzuynd2nd ' 'xomgomuNg{'lv{!wB{|rtxgf{¤xzp}lmr! wdp}xl«e2rtp}lmpy¥ rtnzp} |e2Hlq{t¥x?psrtr|uy |lmndlquy{| wp}{r|omplm~uyxwgp}{ w ~ lvp}Npye2gwp}¥{n#rt |ovglq {tps~ r|pyp}lmU{ uywwH={¬fovguy¬e2f¬pNxd{U¬omc=d¬rt¬)g ¬~ ¬¬g¦¬¬wd¬¬lvN¬¬gpy¬¬n ¬¬= ¬¬~ ¬¬pyw¬¬{W¬¬omg¦¬¬¬¬py{¬¬z¬¬ ¬}hLL h^h = WWovov¥¥eJeJggwBwBrtrt{!{!{|{|lvlvwwyyndndomomlvlvgg t t{{x?x?uyuyndnd ' 'omomgg{!{!xxp}p} p}p}e2e2¥¥rtrt | |lqlq{t{tpspsr|r|lmlmuyuyww{{ ~~ ggwwlvlvNNggp}p}nXn = ~~ p}p}ww{{ovovggffpNpNU{U{ =d=d¬)¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ y M hNch hL W[pyov¥oveJgndg wB{'rt{,{lmwd{,lmywdnyovnlmcfovlm tgfg {{¤x?pyuynznd2 'xomguN{'lvwB{|rtgf{¤xzlmr!wdxl«rtp}lmpy nzp}e2H¥x?rtuy |ndlq{| p}r|omplmuyxwp}{ ~ p}pye2w¥{rt |ovglq{tpsr|pylm{uywHh¬fuy¬e2¬xd¬omc¬rtg ¬~ ¬g¦¬wd¬lvN¬gpy¬n ¬= ¬~ ¬pyw¬{W¬omg¦¬¬py{¬=d¬ ¬yy hBh(M WWovov¥¥eJeJggwBwBrtrt{!{!{|{|lvlvwwyyndndomomlvlvgg t t{{x?x?uyuyndnd ' 'omomgg{!{!xxp}p} p}p}e2e2¥¥rtrt | |lqlq{t{tpspsr|r|lmlmuyuyww{{ ~~ ggwwlvlvNNggp}p}n#n ~~ p}p}ww{{ovovggffpNpN{{hh¬)¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬gyMs hBhB WWovov¥¥eJeJggwBwBrtrt{!{{,{|lmlvwdwyynndovomlmlvgfg t{¤{pyx?nzuy2nd 'xomuNglv{!wBrtx{¤p}lm wdp}l«e2rtlmpy¥rtnz |Hlq{tx?psr|uylmnduy w{omp~ xgp}w lvp}Ne2gp}¥Xnrt |lq= {tps~ r|p}lmuywwH{fovguye2fpNxd{omchrt¬)g ~ ¬g¦¬wd¬lvN¬gpy¬n ¬= ¬~ ¬pyw¬{W¬omg¦¬¬py{¤¬hg ¬ 5¬ M^M} Ly £¤ tlvr|cf tgxuNnd !omg{'{|gfxzr!xpy tpye2¥r| tlq{|p}r|lmuyw{ ~ p}w{ovgpy{y¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬gM%L Ld £¤ tlvr|cf tgxuNnd !oqp(xp} p}e2¥rt |lq{|p}r|lmuyw±fuye2xdomcrtg ~ gwdlvNgpyX n = ~ pyw{'omgpy{N¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬g ¬ M!MsM LN £¤ tlvr|cf tgxuNnd !omg{'{|gfxzr!xpy tpye2¥r| tlq{|p}r|lmuyw{ ~ p}w{ovgpy{'z¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬g L!= £¤ tlvr|cf tgxuNnd !oqp(xp} p}e2¥rt |lq{|p}r|lmuyw±fuye2xdomcrtg ~ gwdlvNgpynX= ~ pyw{'omgpy{!d¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬gMs L}h £¤ tlvr|cf tgxuNnd !omg{'{|gfxzr!xpy tpye2¥r| tlq{|p}r|lmuyw{ ~ p}w{ovgpy{ =d¬)¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬g LL £¤ tlvr|cf tgxuNnd !oqp(xp} p}e2¥rt |lq{|p}r|lmuyw±fuye2xdomcrtg ~ gwdlvNgpyX n = ~ pyw{'omgpyU{ =¬ ¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬¬ yMs
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(48) ggf{,r r pyovuN t{ "~ !$uy#w%wd%&¥fg gf w A_e e ®oqp¦A_r|egeJ x?{,¥f psrtnd¬d tRg gPd¥lmomrtpypywwBr$¥gfwdzgfxd ty |¥flme2r|lq¥f¨Ngnggfw ~ py[w{gfr$o §oq¥fp¦om¥fovuNe2wdgfywBndr g~ndg Nuyomnde2g!{ § ¥f |lvr & ¶yfg¨Bndl ~ uNwdwdg'o § ¥¨Nnpsr|lmuy w ~ g!r| p}w{,ª®gf |r tp ~ lqpsr|lvªDgzxd tlve2¥fg!{|uyn{ª®uy teJg ~ l ZD¥f tgfwBr|lmgfomomg ¸h * {|uyomnzj^r|lDlmuyoqwp #guydwdpNg6r|g uN~ eJgxo |§ lq¥{,¨Bg¦ngfpswBrtr|lvuN tgw ~ lgZDr ¥f tgfwBgr|{,lmrgfombomgBuye2®huy¤Ngcf{wdr gN~ ¶ uN~ wdgwd¥u^ggfx³.p}f lvgwBr ~_§ p}{,uN |xzrtlvuNw (gr ~ g¦r|geJx?¥f psrtnd tg ¶^p}omuy {¤omp . . ) +. ) +. . ! ) + ) +. . . . . . ),+. -. + -. 1. 1 ) + -. + -. 1. ! 1 ) + -. -. 1 1. +. L . 'B.¿ d .0 s¿+*. ). 1 . ) + -. ' ( - ( - (. ! ) + - 1. 1. . + 1 - ) + 1. *. ! ) + - 1 1. (. $ uyn ' |¥ ~ ndlm |gomgwuye9 |g ~_§ lvwuywwBng{¶zlvoRg{r'xd tuyx?uN{|¥ ~ gr| p}lvr|g !{,ng{|{|lvNgfe2gfwBr ~ g{fpy{{|lve2xdoml,Y¥{ P0omp ~ ¥fr|uNwpsrtlvuNw{,rtp}r|lmuywdwpylv tg{,uNnzr|gwBngCFfpN{Y6¶ P0omp ~ ¥fr|uNwpsrtlvuNw{,rtp}r|lmuywdwpylv tgp=yg ~ ¥fr|gfwBrtg ~ g{'x |u ~ ndlvrt{lq{t{,n{ ~ gomp ~ ¥fr|uywpsr|lmuyw¸py{!6¶ P0omp2{|ndx?gf ~ ¥rtuywp}r|lmuyw{,lme2xdov,l Y¥Bg ¸fpNU{ =¤x?uynd 'xdomn{|lvgnd {lvw{,rtpywBrt{¶ P0ndw py{.N¥fwd¥ |lq¨Bndg ¸py{±h 2lq{|{|n ~_§ ndwdg&{,lme9ndoqpsrtlvuNw0w^nde2¥f tlm¨Bndg ~ lv tgr|g ~ g4o § b^ ~ |u ~ ^wpyeJlq¨BndgU p ~ lqpsrtlvNgY{,g tp gfw{|ndlvr|grt tpyl«rt¥x?uyn '=pyovl ~ g 'ompJe2¥rtbdu ~ gy¬ . ,. . h=L M N =D= 3hL . $dd¶¶ yNNyydcMssM }h^L M dd¶¶ MssM BL%!N=yL N}L zM L dd¶¶ y}M NyyN}M yNyzNh dd¶¶ y!y= hGN=y}yL hy= dd¶¶ }L}L N y}L NNd}hcDLyM M dd¶¶ L%}L =Ny=NNdysMNN dd¶¶ hNhcy= hN=M hf3h}M y3L dd¶¶ hNy= NyBB}%}=hyL =. HA_e . .+-/1032. ¶¶ B}}}hBhB ¶¶ NNy NMsNN ¶¶ NN}hNM=hBN ¶¶ BNy! L!LLLM ¶¶ BsG ch=yBM%= ¶¶ BychM=MshcNL ¶¶ yNhN!!=N=LL ¶¶vyhN dMsL. . e 46A_-5
(49) e798
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(51) MsM}y3BM}y!dLz¶¶ hyLyhByLzND= }Ms =y= M%=y=dd¶ y¶myNydhNN h=yNLy!}(h=cM^M^¶¶ =}yhyyhBychyM hyL}M=(hchB}LsMshBNNddd¶¶¶ =} hBL}M!N}M}hN LM L!LL}Nd¶ M%L}NN hNL}yNydy=cLy3 dLzM^¶¶¶ !yM}=d! L}LyhhNy= =NyyNd¶ M=hBy hB}}hMz¶¶vLhM%=LyN=d . . . . & O?,P5&( : , 8 9 #(!& &( / ! =<! )'$08 &(U,%' ?!# : &(?>
(52) ! @BAC.+/1032 ! G %' % X !% %& & " &( 465 7D8
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(55) & $; &( ' HS &( &( ' % )D!"&( #$%&(5 / '& & D ",YU. ~i n ~ dlm{|¿yx?½uN*{|l«C¸rtl«½Gª'C9x?F_uy nd'^ (ov¿Ng »~ ¡uy &e.p} lmBwdgH'^ ^lq{, lmd§ ¥fomg±xpy{,lmuN{twB{,grndov 7lq{lmrtwd¥flvgr|{ lqp}~omg py~wg{#omg±F)agp}{,dr omg~ pygn0!Ly¬7e2 e§ g¬s |R tgfgnd{ 9p} |g ompyp}6r|rtlm¥fy tg lm{,~r|lqgH¨Bnde2gg{ {,~ ndg t{¤g ~ g~ {¥rtr|gfgw6rt{|gflvuNndw {{ ÁÁÈ%ldÖ×Ö=Ó.
(56) . , : ; * ,. =. . hL M y G= fDhL . y! = dd¶¶ yyNNyyyM dd¶¶ }yhN=yyyy dd¶¶ dyN}yhNy dd¶¶ yyNNyyyy dd¶¶ yyNNyyyy dd¶¶ yyNNyyyy dy¶¶mLyyyd!fh= !3=NMzy¶ Bd}¶ yyM}h L. = L}N. =y Ly }yNd¶ Ld¶my yM^hc M hN=dNNd¶¶ NMs¶ L%hN=y=y !DL =L =y¶ y M!L =!=¶v=shB}h =y¶vM}dfh =y¶ ych M}y =Nd¶ BzD =N =y¶ =Ny L!L yd¶ yd ! Ld¶ ==Lyy N¶ L!¶ N=yyM!yL}h N¶ hB LshB. P. }yy¶ d P L}¶ LN=! = M ! =¶ hBy yM}d¶ hN¶ L!ch =yM!NL! L Ld¶ yh =N L y}h¶¶ =cLLzMsL}M dM=N¶v¶ LyD =dM%=NM hM==dhLd¶ !¶v¶ hB=c}yM=hBNh^Nd h¶mNyyh. hc}L N LMz¶ NyyN =y¶ = sL hNcM }G= zM ¶¶ yL¶ N= !=M yhNy= Bc= M G=d¶¶ NcMy=}L BL G=d¶¶ N=}M }yhBNyd ydN¶ M¶ N= }}L hBNy d^M ¶m¶mGN= ysM B L hd¶¶ y=y= NyyBM d¶ }= h = MM. yNy NM^y¶¶ =yL%B=NyshyL dd¶¶ }=}hNhNN=yy h=d¶m¶ }DhL}=BB}} =d¶ y}hBd =d¶ hNd=} =d¶myy L zyz¶¶ L}¶ L%Ls=hNM%=}hB=h L yd¶Ì%¶ =yM}N!y= dd¶¶ ! =yLshBBy M. MsyN Mz¶ y¶ Nd!f=NhNNh Ld¶ = L!Ld =¶ Nyd M dd¶¶ Ld Msfhy! hc=BL NNd¶¶ cMz¶ NMsd}}hBh = NN¶ =¶ NL}NNy! = ¶¶ LyMMsyM!NM} ¶¶ B¶ =NyD }LsLhBNL . & ONLP*!", S D S ' 0/ !"' % - VS ;c% :%' 7& $%&(+9
(57) E 9 #(!& &( 0/ % ) %& % $ 4 " &( VUU %&(?, $ & $ > @ AZ &(?, )D&( '"!!.% )%' % 1%&!2 # %'&( &D$ &( TU. dx~ lmome2ndxflvw^pywd ,ndgr g(~rtp=pygyd{'gom¦fg pNoq~ {'pJg9¨Br|fndgfuBe2lRgfwdx?³HuN¥fn lmps{'gfrtwBndrtuN |{ wg ~Rdg§ xdpy |wd tgfg{,w wBuN~r |xd¬ tgr|lmuyomp2wse2pyovuygwdnduz !e2bd tusuyye.gwdpswdrtlmg¨Bndµg3x?M!uyM%=nd ¦¼¨Nn tgfgf^oq¨NlvgnwBgr {'~ rtgfuye2wx?¥fµJ pse.r|psn |uNg |{'gg !{,rgf¥fr,Br|gp}omggf |e2 tgfgfnwB r'~ª®uNp}ndw |{!womlvpg x tgfpyx? uNom{gJ¶ygf£¤r¤& p}= n ~grgomovµlq{,¶yr|x?¥fuyg nd~ ¤p}ovwg{{!xdovg9 tu a~ p}ndlvovrtg{ p}~ n4g z~ ¬ ¥f\ r|uyw}ps r|= lmuy2w7¶¬^£¤ggomp.{ ~ fgfuy t twd |glmgf{, x?{Wuyw u^~ gf³.pynzflvgwBfu^rt{g³H{|uywBlmrgfwB~ rt¥f{ r|g~_ |§ e2p}lm{|wduy¥ t{ xz~ r|lmg'uyª¸wpy©fx?uyuyw.nd ¦gf^ovg9x?¥f tlmF eJgp}wzn ¹ rxdp} tomgfgHe2µlmcfx tgp}{ |r|omlmuy wd~_Nnd§ ngfwn t{ gn ~_§ ~uywg.~ ovgneJµ lm= wL}pyNw g{x¸wdp}l7 x?nuywdng2 r|~ gg{bdwdrtgflq¨Ne2nxgJ¥w tp}g.r|ndx tgg |{e2lmgwzr|ª®rt¥py |wNlmgfrnd txgpy{{ ¶dµ(~ g r|uN~ nz¥r|Ygwd{'lm ovg{~ g.ovuNswdp}yomngfndgfnd x?{ uy~_n§ uN w ov~g{g 6~ ¬ gfnd uNfgfwNx?r'gfå¥fwdw r|lv~ ¥r|pylqfp}wBpyomrgfom¶dfe2ndoqp.gov¥wN{,grlm{¶ye2lmµJodxd¥omo lmr§ fåp}wdl«rtlv tr¤¥lmpJguNr!{|w^uyoqynp2gf{w^ tpyomn2gxd{ ¨Bl ~nd~ l«g'lmrt |¥ ovgg6~_{rt§lvomnzNndr|ge2lm{ ovlqlv~{twpsnUp}r|wlm£¤uyfw g& { =J~ ~ n¶dpygfwomwuy{ Nxomlmgfpy{lv ,g¨Brto lmnf~ p}nd¥fr|ovN tlmgfgfg! 'omuyffxdpNuy{x?w¥~ fn.gfx tp}e.w 'p}p}owB § årwdbdov |g¥'lq{'p2{,gfuy tp}wBpy rlvpygª¸wBr|p}r¥lvr¦ |ª®lquN{¨Bndrtndlm t¨Bgwdndlvfggg{ {{xxdompynd t ¥e2fovlmg¦lv{|wg£¤py{ w ~ =Jgg{{ ¶ xd~ tg%u{Yr|omg{¤e2r|bx¥f¥uy tp} tlqr|¨Nndn tgg{{'~µJgo § r|pygl eJ~ g x?~¥f nYpsrtandp} tdgyom¬zgRpyng{¤ds¬ pyovgnd t{ ~ gfuBgf³HlmgfwBr ~R§ py{,uN |xdr|lmuyw±{|uywBrr|uyn}uynd { ~ ¥rtgf teJlmwd¥g{gfw±ª®uywr|lmuyw . drtwi bdgdgfp} t nze2 H lm¨B¢~ ndg.gNB¶r|½ge2*»eJB ¥x?z¥fp}G½ wdCFps*» lqrt¨BB ndnd tg±dggf tr2½gf)» xB |b¥»?lv{,e2 gwNlq¨N'rtn¥f{Jg ½ z{,nG½o § .CF¥*» rtomBp}prJB W lvC N®nd'gf twPg »?p=Ly7=pdpy½ ¬wB' rB_p ~ 'n ~ ¥ª®r| t7uNuygwwB{rpsrtxdlv tuNgu%{,w°Yr(oqg{om{grH~ g tgfFrtxdgfe2 tpy¥x{|n¡gf¥wB t |p}rtg¥fr|xgnduB t{?g!uyFrte2µUbd¥fe2xduN tg |glq{t¨Bnd{,ndwdlmuygg w{~ {|gfuylqr({twBr rtuygfwB~ e2rtglv{x?w^¥fnd tlvr|ps¥¥ ¹¹ rtFnd# |F gYpy~ e9¥duylqe2p}wBx?r|uNg {|¥Y~ uN¬ wwduyw ~ ¥fuye2x?uN{|¥Y(gr.o § ¥frtpsr ®gw¯py | tlmcf tg ~ nPª® tuywBr( tgfxd t¥{|gfwBr|gomg{2xd tu ~ ndlvrt{ ~ g ~ ¥fr|uywpsr|lmuyw 7g{'fpy tpN6rt¥f tlm{,r|lq¨Bndg{ ~ gg{xd tu%Yoq{'{,uNwBr P[µ C AR{¶zovgª® tuywBr!{|g¦rt |uNndyggw Je2e¶ P0ompJ^lvr|g{t{|g ~ go § lvwBrtgf |ª¸pygxdoqpy¨Bndg =gf^xovuB{,lvª7g{,r N Le }{f¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ nY# F5p}n tgfx?uN{g{,r ¼} = 2¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ nY# F ~ ¥uye2x?uN{|¥g{,r
(58) =Nyy 2¶ P0ompJ^lvr|g{t{|g ~ nª® tuywBr'g{,r M}ye }{f¶ P0ovg{ovneJlmwpywg{!{,uNwBre2g{,nd t¥fg{¤r|uyn{ovg{ }(w{$n{t¨Bn § µ / Ch AR{f¬ omg{'x7 |gu {~ lvndwlvrtuy{ w~ wBg ng~ {¥rtx?uyuywndp} r|lmo uy§ lmwRw^¬ ygf {|lvuNw{|uywBroqp(r|geJx?¥f psrtnd tg ~ n±ª® tuywBr [gr!oqprp}domg ~ gu^g³HflvgwNr{ ~_§ p}{|uy txzr|lmuywxuNnd . . . !. !.
(59) . !. ". *. ". . . ". Á òÛ.
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(61)
(62)
(63) !" #$%'&($ ) *+,-!.% )%' % 0/ &( 12,3 456 7&( 895 * '% :<;$ . y. ?xi ~ ¥fdlv e2psrtlm] ndw^nz |¢ gr|.lmrtuyNbdw ½¥f*» uN~ B |g±lqz¨BoqD½ ndpC¸g)» {$r|B g teJgffxd½x? tz¥f¥G½ {|CFpsgf*» rtwBBndrt t¥B g{$ {,C nn' {t¨Nomnp _ § WµY'^lv¿ Nnndwd. tg.BgU½ r|L}'cg(BDe2½ e2x' ¥uN t. wNp}rt'^r| |P ndg twBj g±r$=n»uNwd.wg {,~C®rt½p}lq{|? wBfrtC¸uygYwB6r|¬lmw^ nd. l«rt |'¥ gxdÀ~ tg¥.r|{|ggfBeJwB½r|»*x?g.B ¥foq zpps½GrtCFr|nd»*g tBe2g!x{,¥nd7 tlmg^p}{Wr|lvg ndxd t~_ |g u!§ ndY~ wdoqn°{g ~ ~ g'¥F*r|rtggfwBeJp}r|n g ¹ tfgfuyx?wuN{,rt{py¶ wN rtPgomp}pxd trtcgfe2{oqx?p ¥f~ ps¥r|rtngfwB |g r|gN~ ¬ g{xd tu ~ ndlvrt{Wlm{t{,n{ ~ g!oqp ~ ¥rtuywp}r|lmuywn{,r|g¦p}xd tc{ oqp ~ lq{|fuywBr|lmw^ndlvr|¥!gfr 8'; omprtgfe2x?¥f psr|n |g 7g{'fpy tpN6rt¥f tlm{,r|lq¨Bndg{ ~ gg{xd tu%Yoq{'{,uNwBr P[µ C AR{¶zovgª® tuywBr!{|g¦rt |uNndyggw Je2e¶ P0ompJ^lvr|g{t{|g ~ go § lvwBrtgf |ª¸pygxdoqpy¨Bndg =gf^xovuB{,lvª7g{,r G =yN9e }{f¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ nY# F5p}n tgfx?uN{g{,r ¼} = 2¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ g{!xd |u ~ nl«r{ ~ g ~ ¥rtuywp}r|lmuyw(n{,r|gp}x |c{¤oqp ~ lq{|fuywBr|lmw^ndl«rt¥g{,r
(64) = L%=N 2¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ nY# F ~ ¥uye2x?uN{|¥g{,r 8
(65) ; =NyN 2¶ P0ompJ^lvr|g{t{|g ~ nª® tuywBr'g{,r Nyye }{f¶ P0ovg{ovneJlmwpywg{!{,uNwBre2g{,nd t¥fg{¤r|uyn{ovg{ =dN¶ ych Mw{n{|¨Bn § µ / =d¶ }hN> AR{f¬ rtgfwBr|7g g{lvw8'; uy¶dwoqp(wBnª®uyg t{e2x?g uy~ndg omo p § lmw^~ y¥fgfr| gf{|wBlvrtuNgw gr!{,uNoqwBp9rrp}oqp°domgr|gf~e2gx?¥fu^ gfps³.rtndf |lvg gwB~ rt{n ~_ª®§ tp}uywB{|r uy t xzrtlv¶'uNwoqp¡x?rtuygfnde2 'x?omg¥f{ psxr| |nu |~ g ndlv{|rtuy{ nz~ rtgfg w^~ nd¥g´rtuyp}wxdp} tr|clm{uywRoqp¬ ~ ¥f¹ !. ". . !. !.
(66) . !. ". *. ". . . 2500 2000 1500 1000 500. . 0. coefficient d’absorption (1/m). température (K). 4000 3000 2000 1000. ¿. 4. 6 8 10 12 −3 position dans le repère fixe (m) x 10. 40 30 20. 3000 2500 2000 1500 1000. 10 0. 0.005 0.01 0.015 0.02 0.025 position dans le repère fixe (m). 5000. 50. 500 0. . 5000. 800. 4000. 600 400 200. 3000 2000 1000. .. 4. 6 0 8 0.00210 0.00412 0.006 0.008 0.01 −3 position dans le repère position fixe (m) dans x 10 le repère fixe (m). JLKNM&O LBP !- #$%'&( ; 7& & DS ; VU 3
(67) U!.% ) &( * ) &( & .&( -) &c",
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(77) !A U. ÁÁÈ%ldÖ×Ö=Ó. 800 600 400 200 0. 0.005 0.01 0 0.015 0.005 0.02 0.01 0.025 0.015 0.02 0.025 position dans le repère position fixe (m) dans le repère fixe (m). 1000. 0. 1000. coefficient d’absorption (1/m). 3000. 3500. température (K). température (K). 3500. 4000. 60. température (K). coefficient d’absorption (1/m). 4000. coefficient d’absorption (1/m). ". 0. 0.00 pos. 0. 0.00 pos. 800 600 400 200 0.
(78) =. , : ; *. |{i ndffga{t{,lm¢¤yg e2j gf'*wBr .~ Bg½»)omp B ~ z t½GuyCF»*lvr|B gyGgCF t {joqpJÀ'C N$pyn' bdg £¤bpN¨Bndgxd tu%Yo ~ g9r|gfe2x?¥f psrtnd |gr|bd¥uy tlm¨Bndg ~ g9oqp?WlvNnd tg
(79) L}g{ruNw{rtl«rtnd¥ P ~_§ ndwdg ~ lq{|fuywBr|lmw^ndlvr|¥ ~ gr|ge2x¥ tp}r|nd tg ~ ndgµJndwYbduz}¶ P ~_§ ndw¥rtp}ruNw{rp}wBr¶ P ~_§ ndwdg({|gfuyw ~ g ~ lq{|fuywBr|lmw^ndlvr|¥rtbdgf te2lm¨BndgN¶e2¥fp}wlm¨Bndggfrblve2lq¨Nng(uN | tg{|x?uyw ~ pywBrµHo § pyxdxp} tlvr|lmuyw ~ g(omp{,ndx?gf |¹ ~ ¥rtuywp}r|lmuywR¶ P ~_§ ndwdg ~ ¥fr|gfwBrtgfp} pyr|¥ |lq{,¥gxpy 'ndwdg ~ lme2lvw^nzrtlvuNw ~ gr|gfe2x?¥f psrtnd |gxdnlm{'nwdgr|geJx?¥f psrtnd tgfuyw{,rtpywBr|gy¬ p ~7lmg{,{'rtpyfwpy tgpN6grtwN¥frt t |lmg{,r|omlqg¨B{ ndg~ { gnz~ g~ glm{t{xduN twNu%rtYlvw^oq{'ndlv{,r|uN¥wB{ r ~ lmeJlmw^ndggfwª®uyw6r|lmuyw ~ nrtgfe2x{¬ P[µ C AR{¶zovgbu^{|gr| tuyndNggw ¼Je2e¶ P0ompJ^lvr|g{t{|g ~ go § lvwBrtgf |ª¸pygxdoqpy¨Bndg =gf^xovuB{,lvª7g{,r N Le }{f¶ P[µ N¶ AR{¶do § uyw ~ g ~ g{,nxg ~ ¥fr|uNwpsrtlvuNwp}xxp} p qr¶zomgbduz{|gr| tuynyg ~ uywgw d¶ (e2e¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ nY# F5p}n tgfx?uN{g{,r ¼} = 2¶ P0omp(rtgfe2x¥ tp}r|nd tg ~ gf t tlvc |govgª® tuywBr ~ gbduzg{,r D =!=y 2¶ P0omp(rtgfe2x¥ tp}r|nd tgn{,r|gp}x |c{ovgª® tuywBr ~ g{,nxg ~ ¥fr|uNwpsrtlvuNwg{r hN Ly 2¶ P0omp(rtgfe2x¥ tp}r|nd tgp}xd tc{oqp ~ ¥rtgfwBr|gg{r 8'; =Nyy 2¶ P0ompJ^lvr|g{t{|g ~ nbu^g{r h =Ly9e s{¶ P0ompJ^lvr|g{t{|g ~ gomp2{|ndxg ~ ¥r|uNwpsrtlvuNwg{r ¼Nyy(e }{f¶ P0ovg{ovneJlmwpywg{!{,uNwBre2g{,nd t¥fg{¤r|uyn{ovg{ }(w{$n{t¨Bn § µ / ¼z¶ LAR{f¬ oqx?puyndr|7gf e2gov{_gx?{lm¥fwxd ps |uNrtu wdnd~ w^ |nndg2l«gr{|{7{ uyx~nzuNgrtgfnd~w^ R¥ndo rt§g2lmuyw^wp}yp}xdgr| t tlmc{|uy{¦lvwRuNomw¬ p {,~uN¥fwNr|rRgfoqwBprtrtg gfe2 x¥8
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