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Do an say ca phe thung quay

  • 1. - ./ 0 01 !"# $ $ %& ' " (# $$$ ) " *+ , -" !", $$ ) " *+ (# $$. / 0# 1 (# $$2 ' 3 45 (# $ 6" 78 , 9" $ $ :; " < => < , 9" $ ? " @ , " A => < B $ ) 1 => < $$ ) 1 $ :; " => < CD 4=" $. ) 1 < CE $2 ) 1 F # τ ' +< !"< 78 45 " $ ' +< 7* < ' + ' +< 7* < ' + . G< C CE 7# H 2 ' +< 4=I " #+ J ' +< 4=I " + !"< 78 45 " . G< C ' =; . $ K=I L D 7# 7+ !"< 78 . ' ' =; (# AMN ?N KB ! "# . $ O C' ' +< . ' P . $ P Q+ 3 4 " # C . P 7# 7=F .. ' +< !"< 78 R ..$ ' < 7 P P ∆ . . G< C < D (# #" !"< 78 R . . . K=I R . . 2 K=" 4=I S ' 7" 8 7+ !"< 78 R . . J T S 7# 4* , @ D CE . . U K3 , V ! "#$% &' (" ) *+ *+ #,
  • 2. $ % & "' 2$ ' 1 #4+7 WX 4Y > 2 ' 7Z 4R 1 !"* 0 2 $ ' 7Z 4R 2 ) 1 !"* + D !"# 2 . ) 1 9 4+ 41 , L ! "#$% &' (" ) *+ *+ #,
  • 3. #20 30 45 T[ "3 4 E +# 1 < 7S ] ^ _ J C U Z < M < 7=F C* 1 7 ; ( " , !" ^ C@ [ "3 < 3 4 " + 7+ ^ _ ` 7Z 4* C =F # C C=# [ < , ^ , L N ^ a+ Q F # ,+ !", Y 4 + b < & , L = 7< N N ^#N EN < N %D ; =; # 4 =; C; L N c" CS < " 3 4 " 05 d# C& I > CS _ 4=I N c" I ; ] 4+* " 3 4 " CS C* C=I 4=I #+ %& 4 N C0 4 L CS EN ^#N < 4+* < #+ e ?+ C& (# , ^ C=I > " f C& 7= # 0 SQ < = < N !"# N / e 7+ Cg < X 0 V !"# ; _ " % 4 4/ C/" 3 D # ' C + " " N Q+ c 4 " # ,+ Y * X S 7< H # 0 7+ !"< 78 h 9 , > R b Ci j ,+ 3 8 (# ( )*+ (,+ (-+. CS X 0 S + D Cg < % k N < l _ m ./ 012 ,3 4 563 7)89+.: ! "#$% &' (" ) *+ *+ #,
  • 4. 58;+. <! (= > ! ?@ ! !A B2 7CD .EFE G5H2 IJ- K2F IL G5M 6", g 0 ^ / #" 4; H !",N 4; ; N 4; H 7 "N 4; H 4 #N n K; H !", 4 4; H + N @ N + 8 0 " CHN H (# o A#7# #B @ > D A # X +7#B ' AX9 X4 #B n ?=; 4; H H 4 4; H N 1 4 7" 8N H o @ N c# @" 1 N Qp 9# 9< > MH ' c Q > n q* #" 4+* < F 1 4 0 N 8 #+ 1 4 E 4; H c @" 9> 1 4 H r 7 "s c 4 E 8 MH 7 " (# o H Qp Q3 i > 4 D ' n G< 0 Y E 4; H H N @ 1 4 H 4 #N b 0 " f C& ' < #" X+ 4+* MH 4 # o 0 " 7f * 7 H Qp + 7# H * 7+ !"< 78 MH D 0 " " * MH 4 # ' " * < < + n 7+ 4 K; + / + (# c 0 ^ + HN 7+ 0 c# ^ Q/" t '# 7+ 0 ^ + 4; @ > OE !", =F 0 $N +& . =F 8 j 0 F+. 7N OP IQI G5*+ IB2 7CD IJ- K2F IL G5M 47R+5 75SD T K2F 78;E: QI ODCE UV UL +5W+ L G5M I5X 4T: L G5M UYE 4T: u MH !", 2. u 2J 2$ u 2 u K; ; u . $u2 u MH 7 " U u `NJ Uum u H4 # Uu. Uu l B2 7CD IJ- +5W+ IL G5M ! "#$% &' (" ) *+ *+ #,
  • 5. v#+ g nt nO Q Q=i 5L+5 G5*+ 56- 5ZI IJ- +5W+ IL G5M F+. 75L+5 G5*+ 56- 5ZI IJ- +5W+ IL G5M 5L+5 G5*+ 56- 5ZI R+5 [+. .] ^^. R+5 [+. 3.] ^^. u =; mu$ u ) Q/" 2 u $m u %* $Nm u NJ u t7+ X l u $U u )#WX $ Aw7# #BN Ax+ " #B u )4+7+ X #9 u 7 + X44 X $ u # u )#WX # #9 mul u )#WX #9 $ u tX +y# J u E Ju . u # #7+ Ju$ u GX 4"4+ $ u u qX 9X 4"4+ uK 2 u )# 9 mJ u $ ut + # $. u $UJ u f .u$ u #7 2 u O# # $ u 2J $ R+5 I5B7 U17 O_ IJ- IL G5M +5W+ ) C=I 0 7# ] 0 ) 0 Q< /" Q N 0 @" Q +, $ N @" 7E +, NJ ! "#$% &' (" ) *+ *+ #,
  • 6. . u T D 4=I 7 ρz UJ u Q" 7 z N.` #4 ) u ω$ z {N ω z $ { u CE CD 0 * + a (# .NJ = N $m − 2N.2. 4 τ + N.` + NU. ω 7+ C0 4 CE + a CD 0 * τ4 F # ω 4 CE L 7" ω = NJ Aω$ + ω B = NJ A + $ B = $U { 8 $ .NJ M3 = N $m − 2N.2. 4 + = JUNl ≈ U . N.` + NU. N$U ! "# A ! E`E 75EP2 IQI G58;+. G5QG aF+ b2B7 IL G5M +5W+ , 9" V C' 4+* H < 4; #+ H 1 !"# * CS " C=I %S D 0 E < 7 => L #+ b # , C c CE C ACE L " /"B xg #" C0 < !"< 78 > = 7# N E N Y# # q+& < , L < 0 D = ^#N < 4+* < |+ 7+ [ "3 , 9" 0 => < ' u t => < , 9" =; u t => < , 9" n t => < , 9" =; g # C+* ' u : # C+* 9< => > 4+* H < 4; HN < F + > C c CE C u : # C+* 9# 9< N 4+* H < 4; H 7 " E / H 4 #N *+ n t => < , 9" j 0 E # C+* ' 4 #" > !", C c CE C Q < 9< 4+* H < 4; H #+ 1 N / !"# # C+* , 9" 0 + < => < # ! "#$% &' (" ) *+ *+ #,
  • 7. t => < " C> , N ' D _ 4=I N = => < 0 @" * 4 "E + C @" F 0 j I ; > 0 C @" ' 3" f @" =# ' N C< c C=I ^ " /" @ & 4=I t => < =; c * > N D @" _ 4=I > N Cg F CY H Q " @ } = #+ < [ "3 #+ > = => < ' I ; 1 + , N 1 C @" ' 3" F %g F 7b f C=I F # , 9" N _ _ " (# < #+ 4=I , L q # Z =; #N < < N 9' , 9" ( " ~Q => < A => < PCS B cWd I52de+ aF+ a2B7 IL G5M +5W+ 4G58;+. G5QG f5/: " 3 ,+ !", !", 4+* 4 * G< => x~# K 7<+ G< " C=I Bd %0 #+ C=# + ,+ !", ! "#$% &' (" ) *+ *+ #,
  • 8. 58;+. _ " : z 5Z+ G58;+. G5QG aBd 5Z+ 75Eg7 [h aBd !"# 4 " Q CS * K+* C=I Q 7E 7 7+ #" " +* CS < 3 L Q* * 0 ' =; H 7+ D N 3 4 " C=I C,+ 7E * N 9b @" ; < N Q+ C0 7#+ CP * N D CE # N CE Cg C@" (# , L #+ + 7#N Y 0 S4 ; _ " 4; E`E 75EP2 G58;+. G5QG aBd +6+. %S NQ => < 0 N < 0 CE L => CD • , Q- C < " 7+ < , O& < CE 3 4 " _ 3 CE > 7+ < #+ Q- _ 4 Q+ C0 < " > =; 7 @ & 3 } _ X+ d# 4 ZC 0 R 4 < " ^# @ & 3 4 " 7=F F C0 0 RQ " S L ] 7+ 4Y 3 4 " 7# @ & C + 7=F )0 < CS *+ 7# CE 4 < " > =; ^# 3 4 " 7=F n:, < " (# < V < CD 0 0 n _ < " > =; 7+ 4 " € !"# < # C+* (# !"< 78 DP C X+ @" Q 7+ N * C=I 4 C CE #+ C N #" C0 7> 9"D 7+ !"< 78 C0N 3 4 " 9b ; < N R < !"< 78 7" @ 7" @ D 4 # > L F CE (# 3 4 " • C=I 3 " S C Q1 X+ @" Q T C @" Q N 3 4 " • C* C=I CE L / + !"< 78 ,+ !", 4 $ { ! "#$% &' (" ) *+ *+ #,
  • 9. ; ij +.2dM+ O_ IJ- 75Eg7 [h )#4+7 WX7 A .N. )Nm {B , $ 6"* $ KY > 5Z+ 7QI +5W+ aBd UL aBd I5g ik aBd n) 1 < %D ; A j Y 0 4; 4 # + B 7+ !"< 78 " /" * p N < " /" CE #+ # 1 < 4 ' 0 n) 1 CE =F N CE 7+ D !"# C=I S" 4 #+ g # " D CE < + $ CE 7# H N 0 g 4="N * C=I 4 C CE #+ C N #" C0 7> 9"D 7+ !"< 78 C0N 3 4 " 9b ; < N R < !"< 78 7" @ 7" @ D 4 # > L CE < 7# H C=I 1 #+ + P Q+ < # C 4 H D CE < C 7+ • C=I !" C > E #" ' +< 4=" 4=I < 7+ !"< 78 45 " N 1 Q D CE C=I 1 > E • C=I S 7# 4* #" ' +< 9+ !"< 78 R ) 1 CE _ c + " 'N E 4 R 4 (# # 4 _ c + 3 4 " %D ; 3 4 " 4 / 0 E CE ' I CS C, ,+ ^ C=I < ' @ => N " f N < / 0 7+ * # 1 D (# < = #" D < n CE + $ z m ) n CE 7# z nAJ‚$ B )N ; 4 CE CD 0 + a (# D (# 3 4 " n CE 3 4 " + $z z .N. )N CE L ' ϕ zm { A z .N. ) ϕ z m {N < " ' !" S z `J` q 4 ' 3" Z %# K# B n %E L # C/" (# 3 4 " ƒ$ z { n %E L (# 3 4 " #" ƒ z$ { ! "#$% &' (" ) *+ *+ #,
  • 10. :/" , C=# 3 4 " 4 p" c# !"# Cd# DN 3 4 " C=I C=# + 0 D 4=I V E „ $ 5Z+ 75lE .E-+ aBd M 9< C F # C0 # 7Y !"# 71 7+ ' +< 3 )< " D , =Z C F # "E + @" " D 4+* 3 4 " N 8 Q< N ' =; 8 1 (# 3 4 "N CE L C/" "D (# 3 4 "N 4+* N => < " N CE A CEN CE L => CD D CE < B t => < 9< C F # V , ' 0 R C=I 0 CE ' 9< u R =F 1 X+ R CD ; ; !"# # 1 F # 4 τz b R+5 7DQ+ K2Q 7)m+5 aBd O_ 752dg7 6"< 78 45 " 0 g 4=" S" Q p 7 Cg …uQ A 8 •B I (kJ/kgkkk) ϕ1 1 t1 ϕ2 2 t2 ϕ = 100% 0 t0 I2 = I3 0 d0 = d1 d2 d (g/kgkkk) n % S †A N ϕ B 4 7* < ' + n % S $A $N ϕ$ B 4 7* < ' + "g n%S A N ϕ B 4 7* < ' #" !"< 78 45 " R+5 7DQ+ 7)C+. 75QE f5/+. f5R [M+ +.DLE M8 ' + 4 + 4 ' 7+ 9=Z =F #+ > P C > + ; 7* < ' + € M # =# 0 c" " @ C@ 8 3 0 S 1 z .N. ) ϕ z m {N < " ' !" S z `J` q 4 ' 3" Z %# K# ! "#$% &' (" ) *+ *+ #,
  • 11. ϕ =U ] C0 # 0 −ϕ N z .N. ) X+ c 2 UN2 2 UN2 = X9 A − $ B = A$ − B = N mJ .JNJ + .JNJ + .N. Nm N mJ =U `J` − Nm N mJ `J z$2NlJ z N $2lJ … z n Q A J n$Nl` Bz .N.n N $2lJ A J n$Nl` .N.B z U$N.U$ ‡ ρ z −ϕ NllU − Nm N mJ = $ J A `. + B m` A `. + .N.B z$N$22 . x 4 V D 'N x z m` ‡ R+5 7DQ+ 7)C+. 75QE f5/+. f5R ULD [2j+. aBd u K=I L / D > 7+ $ F ω −ω N − N$ = $ $ = = $ − ω$ $− N L u CE CD 0 + a .NJ = N $m − 2N.2. 4 τ + N.` + NU. ω 7+ C0 4 CE + a CD 0 * τ4 F # ω 4 CE L 7" ω = NJ Aω$ + ω B = NJ A + $ B = $U { 8 $ .NJ M3 = N $m − 2N.2. 4 + = JUNl ≈ U . N.` + NU. N$U nQI ih+5 +5EP7 ik )- f5VE 75o+. aBd 7 T ' +< CE $ b # C 1 7=; ∆ ˆ= $ = 3 N b ≤ +$ # ≤` # 1 CE ; C @" %S C, ,+ ' b # • 1 #+ + CE L => CD !"< a = } !"< / 7* < + Y#N ‰ * 1 ϕ = A` ± JB{ " ρ ϕ = = = N C0 X+ < c ρ NU $ + N ! "#$% &' (" ) *+ *+ #,
  • 12. < " > =; # 7+ • _ N Q+ C0 =F CE • , " 1 V CE + a N d# 4 z n $ z n $ z U n$ z ` +) T C0 # 0 u K=I c# L (# < #" !"< 78 45 " Q ] C& C S !"< 78 45 " 4 …z + # 0 S ' C=I Q X+ c € 7 # C 0 $z m ) ⇒ $z N2UU` #7 ?+ 45 " Q$zQ z N $2lJ `J` N $2lJ ϕ$ = $ = `J = JN { A NU $ + $ B $ A NU $ + N $2lJB N2UU` …$z $nQ$ A J n$Nl` $B zm n N $2lJ A J n$Nl` m B z$$lN`. ‡ − $$lN`. − $N 2 ` = = = N $m`2U $ J + $Nl` ` L ut < " > =; + Y# Z CE z ` ) # 0  2 UN2   2 UN2  = X9 $ −  = X9 $ −  = N. `.J  .JNJ +   .JNJ + `  u %E L => CD ϕ `J` N $m`2U ϕ = = `J = lNU { A NU $ + B N. `.J A NU $ + N $m`2U B ϕ = 3 N ; CE z ` ) CE L => CD (# 7# H Y !"< a + ; C @" # 1 4* z .l ) M; CE C=I 1 4* b # ' C=I K=I c# L Q z N .$ ` L t < " + Y# (# > =; Z CE z .l ) 4 z N Ul.m #7 ϕ %E L => CD z UlN`2 { ≈ ` { = 3 N CE C=I 1 4* V .l ) 4 I 45 @ & 4=I %S S 7#N CE 0 I 45 # @ & 7#+ CP L b # , !"# ^# < " > =; 7 @ & Q* * z WA N ω B ) ' CE A u #B !" C =F CE Z / "D (# ?+ C0 CE ^ , C, ,+ ' @ & 4=I = 7 Y , C, ,+ CE A u #B C( 4; $ >8p+. O_ 752dg7 I*+ 75Eg7 ! "#$% &' (" ) *+ *+ #,
  • 13. $ $ = = = U$N `J − $ N .$ ` − N $2lJ L K z4 ƒzU$N `J z$ JJ ?R# 4 JA 7 .2lŠ ' +< D BN Q => ( ) < E " # @" # ' C=I S ' 0 L c# E 0 7=; #" !"< 78 45 " => c N ] $ $ zAm +)‹J{B # 0 Nϕ $z $N 2J . N ] ( Nϕ ) z A.l+)‹` {B # 0 z $N$ U . ?+ C0 u K=" 4=I S ' (# 7=; !"< 78 M$ V . M$ z $ K+z $N 2J $ JJ z $ m UN2`J u K=" 4=I #" !"< 78 45 " M V M +z K+z $N$ U $ JJ z $.`llN$. . u K=" 4=I S ' 7" 8 M + V M +z NJ AM$ n M Bz NJ A $ m UN2`J n $.`llN$.Bz $.. Nm . q# M +z $.. Nm .U z .NUl . q >8p+. +5EP7 I2+. IBG I5D K2Q 7)m+5 aBd O_ 752dg7 n K=I " D CS 4 # > $ L + + !z4 A…$u… BzU$N `J A$$lN`.u U$N.U$ Bz.J`UNJJ ‡ L n K=I " D + , !"< 78 6z! ƒz.J`UNJJ z`$J.$ A ‡ B z$lmN` ƒ nQI ih+5 fRI5 758`I 75Eg7 [h aBd 75o+. K2-d )< Q^ 4 " # C/" n _ " :z n %E L # C/" (# 3 ƒ $z { n %E L "D (# 3 ƒ z$ { >8p+. r3 [YI )- 7)D+. K2Q 7)m+5 aBd ω$ − ω −$ ƒz: z z L $ − ω$ $ − nT D 4=I 3 4 " + :$zƒn: z n z nQI ih+5 fRI5 758`I IJ- 75o+. aBd s G< C S ' S ' !"# C=I ' X+ c τ $ = ρβ 7+ C0 M S ' !"# ! "#$% &' (" ) *+ *+ #,
  • 14. :$ T D 4=I 3 4 "C + !"# N Œ • :$ z τ F # +$ „ NŒ b• τz b β z A N ÷ N.B D C @ C/ N 1 β z N J ρ T D 4=I 7 (# 3 4 " NŒ . • M3 = z 2NJ$. . UJ N J U n G< C C=F ' @" Q ) b # 1 Ž D K ? z .NJ # Kz .NJ? T C0 C=F ' C=I 9< C Z C‰ c π .NJ π . .NJ .N$2 . = = = 2 2 2 2 2 2NJ$. ⇒ =. =. = $N$m .NJ π .NJ .N$2 ) 1 ? z $N ?+ C0 @" Q K4 K z .NJ ?z .NJ $N z 2N ! "#$% &' (" ) *+ *+ #,
  • 15. 58;+. ! "# 0tI iRI5 7R+5 7DQ+ +5EP7 O C' (# ' +< 4 9< C " #+ 'Q + !"< 78 KN " #+ 6N ‡ 7 > Z ' +< 9< C < ' =; > , (# %g F !"# 43 V V _ 4=I (# D • 9< C C=I " " ~Q " 9" ~ Q _ 4=I (# D } = " #+ 7 (# D R+5 7u+ 75B7 +5EP7 u+ 75B7 +5EP7 vD U17 OEP2 aBd 3-+. )- +.DLE Q" 7 (# 7# H ) z ) A$u ω B n )# ω N Œ ‡ T• 7+ C0 ) uK Q" 7 (# 7# H )#u K Q" 7 (# =; ) uK Q" 7 (# )# z 2N$m A ‡ TB ) z N.` A #4 TBz $NJ2l$ ‡ T ⇒ ) z $NJ2l$ A$u N$ B n2N$m N$ z $NmU2m ‡ T ⇒ T C0 P Q+ 3 4 " # C V 6 z : )M A u B z $NmU2m A.lu .N.B z JmJJ2N` ‡ JmJJ2N` ! z z z l N``2 ‡ L u+ 75B7 +5EP7 )- 3/E 7)8l+. :, D CE < A B 7+ )} = D / N CS ' P 7# 7=F b # , , D CE •A B #" ' +< 9+ 4=I R b # • S 7# 4* , )> Z CS , D CE 7+ R 4 D CE 45 " •+N Œ • D CE ' 4 j D ^# 4=" 4=I S ' 7" 8 M + Q R Q+ (# ) b # C 1 D C @ C/ β z N JN Q+ C0 Q R Q+ (# 0 S ' / Cb V A$ − N JB π N`J .N$2 A$N B • QzA$u β B • z z z Nm2`m 2 2 T C0 D CE 45 " •+ V .NUl •+z = = 2N.J Nm2`m ) b # , D CE 7+ !"< 78 R •z 2NJ ! "#$% &' (" ) *+ *+ #,
  • 16. = 3 < Q^ 4 " CS ' 3 CE QY g u CE Q S 0 7+ 7=F I 4 CE 7" 8 (# + 7# H + W$z NJ A $n Bz NJ Am n .lBz JlNJ ) u CE Q S 4* CE ' 4 CE 7=F W z +z .N. +) u 4 V a 0 @" Q δ z . # 0 D Q- λ z `$NJm ƒ T = 3 0 C=F ' ? ?$z $N . $N ?+ C0N " ‘# !"# ? ?$’ 0 S 9X 7#+ CP CD 4=" ^# ; 7=F !"# < ‰ u t '# 7+ 4 7#+ CP CD 4=" =i c ; D CE < , V •z 2NJ T C0 D 7#+ CP CD 4=" =i c ^# ; @ & 7+ (# ' X+ c A` 2UB A 7 $22u Tq B α $ z UN$Jn2N$` •z UN$Jn2N$` 2NJz 2Nl$J ƒ T u 7#+ CP CD 4=" '# + ^# & ; ' 9" !"# X+ 4 7#+ CP CD 4=" R , 7D ?+ C0N D 7#+ CP CD 4=" α • C=I ' X+ c A` J B A 7 $2Ju Tq B N... α z $N`$J A • u W B 7+ C0 • 4 CE & + (# N CE =# u = 3 3 CE QY • , ‘# Ck c ! $z ! z ! . 7+ C0 !$z α $ A W$u •$B λ !z A B δ $ − ! .z α A • u W B €C •$ 4 CE & 7+ (# } =# %=> 3 CE QY ‘# < Ck c 7 C 8 0 } , ‘# => 78 7" @ = A $ − B 7+ C0 4 D 7" @ V $ = $ $ $ + + α$ λ α δ ] !.z α A • u W BN # 0 !.z $N`$J A • u .N.B$N... # 0 δ = $ − λ $ ! "#$% &' (" ) *+ *+ #,
  • 17. # 0 z JN ` ƒ T O3 CE QY !z JN ` AJlNJu .N.Bz $m$NlmJ ƒ ? ' #+ !"# • M8 b # ' 7" @ !"# = 4 7" @ !"# < ‰ N Q+ C0 Q ' #+ !"# V Q ' / 8 7 ' X+ C=F ' 7" 8 = 3 Q ' • V π Q ' D Q- D , # C/" N 7+ C0 ? z NJ A?$n? Bz NJ A$N n $N .Bz $N $J X+ #4 π π $N $J =π + = π $N $J 2N + = $mN$ 2 2 ?+ C0 P 7# 7=F 6 V 6 z .NU ! •z .NU $m$NlmJ $mN$ z $$m`$N J ‡ $$m`$N J = = = JlN.U ‡ L 7+ D !"# N P P V P P Q+ MK # C P Q+ H# 7# 7=F P P V 6 n 6 z JmJJ2N` n $$m`$N Jz ` 2 JNl` ‡ + = l N``2 + JlN.U = .J N$.2 ‡ L R+5 7DQ+ K2Q 7)m+5 aBd 75wI 7g R+5 .EQ 7)h 7u+. 7u+ 75B7 ∆ ∆= −A + B = 2N$mUm .N.u .J N$.2z u J2NJm ‡ L M; ∆4 P C* D (# P # P " NŒ ‡ L • nQI ih+5 IQI 75/+. aY IJ- a-2 K2Q 7)m+5 aBd 75wI " ' V Cg …uQ b # C& C+* )+h+z ∆A BA B D vh+ f C=F z .l +) # • C=I C S ) S" Q p 7* < (# #" !"< 78 R ] ) # 9< C C=I X # … N 4=I c# L Q 4=I L => CD ϕ #" !"< 78 R b # 0 S ' V < c , ' ! "#$% &' (" ) *+ *+ #,
  • 18. I(kJ/kgkkk) I I2 1 1 (B) t1 2`(C) 2(C) l t2 0 0(A) t0 d=d1 0 d2 d d (g/kgkkk) 2` %S ' < D #" !"< 78 R N 7=; # ' Q" 7 Q- 9" (# 7=; !"< 78 )Q9AQ$B # 0 A $B = + $z $N 2n $Nl` N $2lJz $N ..J ‡ T # 0 = J + $Nl` = J + $Nl` .l = J`UNm. ‡ K=I c# L Q (# #" !"< 78 R V A $B A $ − B $N ..J Am − .lB = $ + = N $2lJ + −∆ J`UNm. + J2NJm L = N .. L h # … (# 7* < 0 S ' X+ c = + = $N 2 .ln N .. J`UNm.z $ 2N`U ‡ %E L => CD ϕ (# #" !"< 78 R `J` N .. ϕ = = `J = ` NmJ { A NU + B N ` 22 A NU + N .. B >8p+. 75wI 7g $ $ = = = J2N`.J L − $ N .. − N $2lJ Kz4 ƒz J2N`.J z $ l2` z .N 2 l $ >82 O8p+. 75x 7RI5 7)2+. [m+5 7)D+. K2Q 7)m+5 aBd 75wI ! "#$% &' (" ) *+ *+ #,
  • 19. n K=" 4=I S ' Z 7* < 7=; !"< 78 M$ 7 # b # C 0 S '(# $ 0 Z 7* < $z m + ) ϕ$ z JN {N $z $N 2J . ?+ C0 M$z $ Kz $N 2J .N 2 lz .N$``` . n K=" 4=I S ' Z 7* < 7=; !"< 78 M 7 # b # C 0 S ' (# $ 0 Z 7* < z .l +) ϕ z ` {N z $N$ U . = 3 M z Kz $N$ U .N 2 lz .N2 2 . n K=" 4=I S ' 7" 8 7+ !"< 78 R M M z NJ AM$n M Bz NJ A.N$```n .N2 2Bz .N. $ . % 4 E 7+ # _ c CS 1 !"* q yEx3 7)- OCE .EF 75Eg7 Ue 7YI ik D CE 7+ !"< 78 R V .N. $ = = = .Nml.U Nm2`m = 3 , •z 2NJ ' P 4 + + 0 S 9X 4 ' 9< z 5Eg7 O1G [F+. IW+ [+. +5EP7 %S 43 , V # ' u 4=I " #+ ! = A $ − B = UUNl. A$$lN`.u U$N.U$ Bz .l UNU 2 ‡ L n 4=I 0 ' !$ $ = − $ = J`UNm.u 2N$mUm .N.z 2`lN `m ‡ L n P Q+ # C ! = A B A − B = J2N`.J $N ..J A.lu .N.Bz mmmN$. ‡ L n P 4=I 0' P < P !“ !“z !$n! n! n! z 2`lN `mn mmmN$.n l N``2n JlN.Uz .`$lNJ2 ‡ L M@ " f 4=I " #+ ! P 4=I 0' < P !“ , V #" € C Q+ @" 45 Q+N 0 S Q+ 7+ !"< 78 ' +< b # C 4 7Y D +& # D Q+ 7# Cg N b # C * # D " CD ∆ = − ” V ∆ = − ” = .l U NU 2 − .`$l NJ2 = $m` N m ‡ L q# # D => CD ε V ∆ ε= = = 2N`l{ ’ $ { $m`N m .l UNU 2 # D 7+ ' +< 4 + a ! "#$% &' (" ) *+ *+ #,
  • 20. F+. IW+ [+. +5EP7 ?CE O8p+. y_ 5EP2 f{]f. r3 T $ 4=I 0' !$ 2`lN `m U.N2U P Q+ < ! mmmN$. N`. . P Q+ 3 4 " ! l N``2 `NJ 2 P Q+ 7=F ! JlN.U $NJ J P 4=I ' +< !“ .`$lNJ2 lJN $ U P 4=I " #+ ! .l UNU 2 $ ` # D => CD ε 2N`l 6"# D 4 " + 7+ , V 0 S P Q+ < # C P Q+ MK # C 4 C< S P 7# 7=F 7 aN 0 S H !"# M8 3 1 CE (# 7# H C0 E # 7Y !"# 71 T E D !"# b # / 4=" 5 C C@ q> ^#N !"# ' +< Cg < 0 S N CE + a (# 4; > 7 @" + ; CE M8 3 N 0 S 7+ ' +< q / !"# C C@ ! "#$% &' (" ) *+ *+ #,
  • 21. 58;+. $ % & "' $ R+5 I5Z+ I-OD)E|S) UL O} 5;E # 1 #4+7 WX7 ' u > )#4+7 WX7 ' u > 4 4+* 7#+ CP 0 < _ 7+ D 4 > ,+ + = + D 4 ' " S CE ?+ D +, = α (# > 4; > D 7#+ CP CD 4=" ^# & + (# D ; ' α X+ 45 " 7" @ '# ' =F C=I 4 < A 8 ^ 3 B CS _ =F " !", 7#+ CP = 3 #4+7 WX7 'u > 7+ [ "3 =F 4 4+* < _ 0 < € < =; < 7 S #4+7 WX7 'u > C=I , 9" ] 4+ X+ E !" "L ' +< #4+7 WX7 'u > 4 ' +< @ & 7" @ • / 4=" 4=I CE + 7# (# ' CE ' + #4+7 WX7 “ =F 4 V CE 7=F CE (# ' 7# s } 4 CE + v 9< C X+ " /" u 4=I #4+7 WX7 / " + < 6 ' Z c 6 z K A…$ u …+B 7+ C0 KA B 4 D 4=I ' / + !"< 78 R …$ …+ => c 4 X # (# 7=; #" 7# H #4+7 WX7 6z $ l2` A$$lN`.u U$N.U$ Bz U.mlU.N J2 ‡ ?+ CE < #+ 4f # 1 4Y > 0 < " ,+ + 4 2 #7 7# , =; > =; ,+ + X+ < " # 0 L +< > 7z $.. T‡ CE CE > ,+ Y# $2.NU ) : , ~ " " (# #4+7 WX7 4 η ! = `J{ u K=" 4=I > / " ? 4 U.mlU.N J2 ?z = = .llN2$2 η! N`J $.. ) 1 4Y > 0 < D4 < " 4 4 2 #7N _ " J u " #+ > + E #4+7 WX7 ?$z A$ − η ! B z A$u N`JB .llN2$2z llNmJ2 u T C0 @ & 7" @ (# #4+7 WX7 V = ∆ η! M; T D 7" @ (# #4+7 WX7 ! "#$% &' (" ) *+ *+ #,
  • 22. CE 4 CE 7" 8 ^# ' > η!4 " " (# #4+7 WX7 7+ #4+7 WX7 'u > N Q S 0 4 > =; = 0 CE CP “$z s$z z + €C 4 CE + Y# (# > =; ∆ #9 z u “ z $2.NU u .N.z $ N. +) ∆ z u s z $2.NU u .l z $ 2NU +) ∆ #9 − ∆ $ N. − $ 2NU ∆ = = = $$ N m` ∆ #9 $ N. 4 4 ∆ $ 2NU q D 7" @ • C=I ' X+ c / Cb CD ; #4+7 WX7 > =; #" A < ' +< 7#+ CP B •z #Aωρ B M; # z $ NJ ÷$2N # 1 # z $ z NJ ÷ N`N # 1 z NU ω u D CE ' * X | N Z C ω z 2NJ ρu D 4=I 7 (# 'N Z C ρz $N l. . NU •z$ A2NJ $N l.B z .2NJ ƒ T = = U.mlU.N J2 $ ∆ η! ⇒ z U$N$ ≈ U .2NJ $$ N m` N`J .U # 1 2 #4+7 WX7N Q ' 7#+ CP • 4 $JNJ $ R+5 7)9 OwI UL I5Z+ K2C7 $ R+5 7)9 OwI u ' " "L xX %=F ' 7" 8 (# 4 V Qz N $ € CE 7" 8 (# z JlNJ +) 0 S4 / Cb υ uU z$mNl$l $ ?+ C0 ! "#$% &' (" ) *+ *+ #,
  • 23. 2NJ N $ xXz = = .`mNJU υ $mNl$l $ −U uq D ( CE # 2l $ 2l $ = JNmJ + + = JNmJ + + = mN$ xX xX .`mNJU .`mNJU u T D 4=I 7 Q- 9" N JA $+ Bβ + ρ = N JA B N J = = .mN``` . N`J N`J 2NJ$. uq D ζ "4 D 4=I 7 (# 4 ρ z UJ . # 0 ρ −ρ ζ = UJ − .mN``` = = Nl2 ρ UJ uq D )$ $ − ζ $ − Nl2 $ = = = N U`l ζ Nl2 u 7Z 4R !"# 4; * = 3 7Z 4R (# !"# 4; * V ρ $ mN$ 2N A2NJB $N U$UJ N U`l ∆ $= = = J.N.2 q† " lNm N $ –' C b #4 D 4=I 7 ρ (# =4 D 4=I 7 'Z + CE JlNJ ) V ρ z N U$UJ . u 7Z 4R 9 4+ #4+7 WX7 X+ 7Z 4R !"# 9 4+ ∆ z q †N 7Z 4R !"# #4+7 WX7 4 ∆ ! z .N` q † A Q+ •z 2NJ Zm ) 8 ρ z $N + . 4=" D (# ' 4 2NJ BN 7Z 4R E < P 4 J{ P 7Z 4R P 7Z 4R , f V ∆ = $N JA∆ $ + ∆ +∆ ! B = $N JA J.N.2 + . + .N`B = `.N 2 q† u : < < CE : , ~ D CE 7# H !"* 0 D CE •z T C0 < < CE V ρ $N U$UJ = = = $NU` q† " lNm u )E < (# !"* ∆ =∆ +∆ = `.N 2 n $NU`z l2NU q† $ 5Z+ K2C7 I5D 5P 75Y+. aBd 75o+. K2-d %S 3 " S < 7+ D =F # =F Q # 4+* !"* !"* 4 !"* =; 7 N 1 4+* !"* +N D [ ! "#$% &' (" ) *+ *+ #,
  • 24. "3 #+ "4 "E + D C& 7= (# D N 7Z 4R !"* , f ∆ N _ " # !"* / , C M ( = CE CE L (# < 1 !"* < 7 / 9< C 4 " " (# !"* # 1 !"* + D !"# 4 !"* 4 N 0 # 4 CL b < ) " *+ (# !"* E A N B P G K M )_ c + E < ∆ z l2NU . q† 4=" 4=I M z $$mm.NU # 1 !"* 4 N E < • !"* 4 $2`N. q †N 4=" 4=I • !"* 4 . $$mm.NU X+ S" Cg 7 8 $` $ A 7 ..UŠ Tq B , < !"* ] 2NJ u U C@" ‘# _ " E < " /" 7# S" Cg 1 !"* # 1 !"* 7" < +U wz UJ ?+ C0 D Y !"# (# !"* V # UJ $= = ≈ $$ U U $ 5Z+ bdIOD+ OZI aF+ G5r3 7+ D #Q 9 4+ CS " g , L # X+ < 7=; , 7# 7=F G 4+ +* CE X+ " 45 4 ? ' Q D ' ^# 9 4+ 4 V A.u 2B 4/ Q (# Q- D CE 7+ Q- =I !"< A u JB S . . ' 9 4+ ' X+ 4=" 4=I 4 9 9j NU +$ C=# + X+ CS D 7' $ # @" 9 4+ ) " *+ (# 9 4+ < ' =; > , ? C=F ' 9 4+ ?$ C=F ' D 7" Q C=F ' / a (# p" $ @" Q / D 7" f + 9 4+ @" #+ / 8 7 (# 9 4+ . @" #+ (# p" @" Q Q Q- + 9 4+ ! "#$% &' (" ) *+ *+ #,
  • 25. $ ?$ ? . Q )_ c + 4=" 4=I < Mz $$mm.NU . N X+ , $` . A 7. $ Tq B # 0 < ' =; A ' X+ a B ?z $Nm ‹ #z N2J ‹ z Nl ‹ Qz N.U ‹ $z NU ‹ z Nm J ‹ .z $N22 ‹ ?$z Nl ‹ ?u #z $N.J ! "#$% &' (" ) *+ *+ #,
  • 26. 0y A > ! $ T[ "3 Šq+ M_ ) =; u GvTqT ' +< D Št: Tq 7/ M_ t b . T[ "3 , 9" Š " p 1 u Q+• 4+#Q ] X7 X 2 CE [ "3 Št: t * K ?/ N t: v q, u Gv TqT u $ll` J OE D 4 "4 ] * X7 X @ , 9" ! "#$% &' (" ) *+ *+ #,