NSC88-2212-E-009-014
87 8 1 88 7 31
!"#$%&'()*+,-.
He-Ne !"#$%& '(!)*+,-./01234 56)*789:;,<=>? @ABCDEF%&GHIJ< KLMNOPQ7QRSTUV VM WXYZ[45\]^_` a?ba4cd&eVM<fg,7This project is proposed in order to develop a measuring technique for monitoring the stability of suspensions. A He-Ne laser is used as light source and a technique associated with the use of light scattering and extinction measurements is considered. By processing the measured signal we can analyze the physical phenomena of the suspension. Both measuring theory and experimental set-up are built. With the technique, specific suspension of nano-particles is tested and correlations be made for analyzing the effect of optical arrangements in experimentals. Besides, the sedimentation process is investigated. The analysis includes the measurements of settling of particles and also measurements of the variations of both concentration and particle-size distributions with time.
?^_)*hijklmn0o: pqrast"uvwJxyz{|}~ Q ATO( g%&)7^_n hUaA)4z4"( %K&G& ^_4&d&[1] 4stmoq7xR hraJ2klmo:uv IJ7 #¡¢£VMp¤<^_) *¥¦4UA4U&e%& §ba¨47xR ©ª< «UVba?&e47 :&¬C®¯Martin K Salin[2(3] °±²³´µ¶,Ua<·¸` fg,¹:U&e%&ba4<^_` aºT»)?¼&e<&¬u½Vh¾¿? À¾¿<bafguÁ&¬ ½Â<^_`a hba<Ãx&¬M<uÄst&¬< ^_`afÅ&¬^_½Â7 Altobelli? Fukushima[4(5]°±ÆÇÈÉÊË ÌÍ?%&WÎÏÉÊËs|Ðs|< 45:Ñ3Ò&¬`a?ba4R¨Ñh ba<7 Zhang[6]°±$h^_0o:<ÓÔfg ?,Ïa<NÕÖ×hØa,^ _0o:Ó<fg3Ù&¬&e4cKau[7]°± ÚÛÜ0Ý<P X`ÑÞ,3& ¬<^_`a7 ßಳ´µ¶h1áâã-äå æa½7ÉÊËPçèéuê$ '45^_0o:&¬ba4<ëìíh ¢îAïð(½ñ(,Â`(òóôP< ¢õ&¬ön÷ø<stéùúµûhu Náâã-1µ¶ä½"üð§½ý[8]7 %&'(!)* ú,K,þ CDE%&GH,\]ba4K& e£VMfgBë^_0o:<6)*G H®¯Z[7 :,<%&hDE DE Mu¢Ñ´# %&!)* ä¢ Rayleigh !7h:%& WZz<þ(1)&¬"§"¼& eé(2)&¬"°<é(3)&¬"!õ ëº&¬!stRþ¢&¬MM ¢&eV7 ÉÇL&¬õÒò g<!aÑ ![9(10]
( )
(
θ)
λ π θ 2 2 2 2 2 4 6 4 08 +−12 1+cos = m m r a I I (1) ë:I ""!a0a
#$&¬<Àem " u%!&λ""!´r "u&¬'θ "!(φ""!É,?!)Ï*(7 vST+&¬,V-äÏþÙ&¬" !õë.&¬!stxR&¬,! aÑ/0&¬!a1d#$x!( Un!a23Ñ45xR&¬, <!aÑ#$[11]( )
(
θ)
λ π θ 2 2 2 2 2 4 6 4 0 1 cos 2 1 8 + + − = m m r NV a I I (2) ë: N "¼Í6:<&¬7V "õÍ67 "!89&¬,ë«,&¬:;K !h<ßG<ä=89&τ
"[12](
NCextl)
I I = − = exp 0 1 τ (3) ë:I ""!a0 I "89aN "1õ"!!&¬ba
l
">?@e'Cext¢&¬êC Bz ext ( ) + − − + − = + = 2 1 Im 4 2 1 3 8 2 2 2 2 2 4 2 2 m m X m m X a Q Q a
Cext π sca abs π
(4)
ë:Q ,sca Qabs40"!(:;< x¬(efficiency
factors for scattering and absorption)X =2 aπ /λ"&e
CDE7+(4)PF"(3)P:Ñ3 + − − + − − = 2 1 Im 4 2 1 3 8 exp 22 2 2 2 4 2 0 1 m m X m m X a N I I lπ (5) -¢ Rayleigh !a!(aG4 cxRST,U!(a<!3Ò N &¬baK&e<H-7hθ =90o IJó; <K&LM4õ&¬J!K&<M4 NM4&¬<7"
( )
d z( )
d z dz N NV d − − = ∫2 2 2 0 2 2 /2 2 / 8 =32Nd3 (6) ë: d ""! Oe7h IJó; M4K&Ï+(2)PPϕ
(#$" − + + − = − π ϕ λ π ϕ π ϕ 1 cos 2 2 1 8 2 2 2 2 2 2 4 6 4 0 m m r NV a I I (7) hQRÏ6 dA JÎ;S!K& dP " dA I dP= ϕ =2πIϕr2sinϕdϕ Ú PMT Jó;S!K&P " 1 ∫ =ϕ ϕ 0 1 I dA P − + + − = 3 cos cos 2 3 5 2 1 16 2 3 2 2 4 0 6 5 ϕ ϕ λ π m m NVI a (8) PMT hθ =0oVJó;<a"I0 =P0/A+ (6)PF"(8)P:Ñ3Ò + − + − = 3 cos cos 2 3 5 2 1 3 32 2 3 2 2 4 3 6 5 0 1 ϕ ϕ λ π m m A Nd a P P (9) ë:ϕ=tan−1(
d 2/ r)
rT50 mm7 vST+&¬UVWXîYV#80Z [(UV(\]^U^M<_!(reflection) I`++(5)Pab_!P! + − − + − − = = 2 1 Im 4 2 1 3 8 exp 22 2 2 2 4 2 2 0 1 m m X m m X a N T F I I cyl lπ (10) (9)PP! − + + − = = 3 cos cos 2 3 5 2 1 3 32 2 3 2 2 4 2 3 6 5 0 1 ϕ ϕ λ π m m A T Nd a G P P cyl (11) ë:(
)
(
2)
/ 4 s g a s a s a g cyl nnn n n nn n T = + + (12) ë:n ?g n 40 1.45 ? 1.0cd\a ns,w 1.33 ef\ns,c 1.3776STÑghcd?ef<9!i40Tcyl,w=0.9645?Tcyl,s=096567
-äjUA<89&iÑ2h&¬Àe a K&¬baN :kQg2 a ? N <Pz vl¦mnB a +(10)P!oF" + − − + − = 2 1 Im 8 2 1 3 128 ln 2 3 22 2 2 2 4 6 5 2 m m a m m a F T N cyl λ π λ π l (13) -äPÑ3ÒjXmB
( )
N, oP(11)a B?LBp)qFhr< a B7zRw soP(13)?(11)qFh&¬Àe a K&¬ba N 7 Np)kQg<µûh Beck and Arnold[13]t: uv<^w7 þ ÎÏ6" Aa" h xyz n¼&e%&;Z{|W}B~ë.}Ô< WÚhR<÷øÎÏ:äQ<&¬7 I°¢Q<&¬7 0 5 . 0 5 . 0 − = = NAv dt NAv dt dn u d ë:v
u?v
d"&¬äK<`avST+ wÔWVö`av
gxR dt v v NA dt v v NA dn=0.5 ( u− g) −0.5 ( d+ g) x " v =u v J d dn=−vgNAdt § n=NAh AhdN dn= poÑ3Ò N h dt dN vg =− (14) R"&¬<^_`a[14]7 :&¬,µ¶ §=> @|R, L@AWuv7 îA\ZM4zJ$40(1) #((2),((3)_)((4) îA((5)-.¹K17/M4uvz ,J"!# 35mW - ! (Melles Griot, Product Number 05LHP927)h:S T"2"!<q 4(beam splitter) }K& I(powermeter)WV<, H¨ÉÊW1-¢STJ<ò g xRSTλ/4(retarder plate)+× f"Èx !a4c" 45½"ïðST$ú ¡j|Pf ! a4c"”)¢P”(top hat)4c "Z£¤p¤&¬M<jw!STJ, <¥&Íba«²0 0.05 vol¦[15]WX 50ml Í6§g3Ò SiO2 " 0.0055g7 STUVWX~îca9ÍWXOe" 38mmü6" 50ml"Z ';áâã-ST+ UVWX¨Ï:;(ñ_!©ªL« ¬ 5mm ®üi"!K¯°0M4hW X~MA±²I(stirrer)-dz´µ£¤ &¬MuĶ·n¸27 "ZJ,%&hUa<bafgxRþ mWZ_)¹,zºJ$T »¼< )Ñ-Éʽ¾ëä¿_ÀÁ P3 ? P4 K9 L5 ? L6 <ÂÃ"ZG"Ò PMT.2 <!" )H_! M1 ØhÄÏäM2 £)Å Ñ%ÆÇbÈÉ"!<HÊ7vA¢ÄÏ äV£z)<_ST+Ñh£_<Ë, ÒUa<&¬ba7
R M 4 \ É Ì Í } (Photomultiplier Tube,
Hamamatsu, Type H3164-10) $ ´ I (Oscilloscope,
Yokogawa, Model 7006 / DL1200)? GPIB(General
Purpose Interface Bus)7SThÎ= 0oKÎ= 90o<A
/îþÏ PMTPMT £)<_Ñ,ÒU a<&¬89d!+J,K& §ÉÓ?h/$´IÑÐÒÉÓ-.fg79 0 GPIB Ñ(National Instruments, AT-GPIB)ST
Labview½¾$´I<ÒW+,H>ÉÊ7 ST,Z SiO2hcd?ef:<bafgÓÔ ,ÐÏÕÖmH #Ï<',·×z ] ØJ$:<Ö×ST 6 ÔjÙP<Ö ×ÚÛ(curve fitting)Jh](Üef\ (Øcd\7 ](#$U<89&STÑÐh v'ÏÝÛ<VÞ89&Ö×ä<Ý # $'ÏÝÛ<&¬ba£VMfgßÝ7ef?c dUàá<\ef<àá¬"cd < 2.58 ÌxR&¬hcd:<bafgihef: Â` h:¨ÑÐh7:UaA<Xm8 9&$h i<23 x"<J n<â7 Ü(ØSThθ =90o,&¬!J3Ò< K&?"!K&<iB-:ST¨ÑÐhRi Bö£VM<fgãäfUaA<iBz U89&<fgåÝóÛÏ<&¬bafg ÝÂ:<-.Èæ½ x"ÉÌÍ}? "ÉÓ½-.çiè½nÈæ<x &¬4c<st7Ð] ØÐh <7é Èæ<â껤RëìST,c d\W"uU<,í?uU<,V M·×zíJ$-:STÑÐh,cdJ 3<7é"Èæ< B-RÑÙST, J3<7éîïÈæ¦ðñ"ò<-._ ã-J<·×n å<-.Èæ pÑ«<xó&¬<4cJn<·× STJ,Ò<-.ÈæÚx"<h ^_0o:ôÚ<&¬bafgJn<st7 õ?öST$89&/kQgJ3Ò<· ×:<Ö×STjÙP?log(N)=alog(t)+b <j|J3<p÷ÚÛÖ×7-:ÑÐh-¢^ _<xy3Ua<&¬ba£VMÍø ùXmVRøù,½"$RV^_`a½ 7 ú?úST$(14)PJgh<&¬^_ `aë:< h "!< Oe-ÑÙû' ÏÝÛ<&¬^_`aÝ£zVM<Íöãä üÛ B-M<i½ßÑÐh&¬ hcd:<^_`aihef: x"d<àá ief&¬h^_0o:JõÒ<ýÔ½7 7éÈæ<âêSTþhJ Ñ«<¸ 2»¤xPUa<Xmb a-ßÏ<7éSTÑÐhXmba<fgh4 ~xRST$ Malvern &e45¡ <¥&±²²³´ (±²I?QUV W&¬«4ch:ST-.<p ñí 5mm W"ST<,íúº ú STPPowW<·×Ó 20 4, cd-7éäÑÐhß<ÈæâêN <P·×7 õ(ö?úÜ<&¬baSTJ &e$89&Jkgh<·×STJ! <oP,Ò<89&?!K&iUVkg 23&¬ba?&e$úº?ú]7ékg· ×z#J$kgh<·×?STB 2 &¬Oe" 20nmSTkg·×¬ " 2nm§&¬ba<fg?·×u_XY n¸2<Ñ«xz(a)I-.<[5 ar¸-.B(b)kQgJ BrÈ(c)&¬ò¿"jw&e4 cxRJ23È<·×J2&¬ô< òKr<þ7 , ¡m<îA_)ÑÉÊ W_?<½¾,UaA< &¬ba7:$UV,&¬<89&?! a23&¬<ba4cVMfg?&¬<^ _`a-·×ÙUaA<&¬b a?^_`a JU'ÏÝÛ<&¬^_`aÝ Âba<fg¨Ý¢àáU< êàáÝ<ë:<&¬^_`aÝ >^_)*ßU&¬^_`a?àá NÕhh<89:Ñ®¯7
1. M. S. Selin, A. C. Kothari and R. M. Turian, AIChE J. ,Vol. 29, No. 6, pp. 1029-1038, 1988.
2. M. Hoyos, J. C. Bacri, J. Martin and D. Salin, Phys. Fluids, Vol. 6, No. 12, pp. 3809-3817, 1994.
3. J. Martin, N. Rakotomalala and D. Salin, Phys.Fluids, Vol. 7, No. 10, pp. 2510-2512, 1995.
4. A. L. Graham, S. A. Altobelli, E. Fukushima, L. A. Mondy, and T. S. Stephones, J. Rheol., Vol. 35, No. 4,pp. 191-201, 1991.
5. S. A. Altobelli, R. C. Givler and E. Fukushima, J. Rheol., Vol. 35, No. 5, pp. 721-734, 1991.
6. Z. Zhang and M. T. Tuamy, Geotechnical Testing Journal, Vol. 18, No. 1, March, pp. 121-129, 1995. 7. S. M. Kau and D. F. Lawler, Journal of Environmental
Engineering, Vol. 121, No. 12, December, pp.850-859, 1995.
8. È!, "S!!^õ !!) *89, #$ö%ì(NSC 84-2212-E009-09)& ', öö(7
9. H. Gratz, A. Penzkofer, and P. Weidner, J. Non-Cryst. Solids 189, pp. 50-54, 1995.
10.) * + , , - . , ú , / 0 h 1 2 , pp.
640-641,1988.
11. Van De Hulst, H. C., Light Scattering by Small Particles, Chapman and Hall, London, 1957.
12. EARL J. McCARTNEY, Optics of the Atmosphere Scattering by Molecules and Particles, John Wiley & Sons, New York, 1976.
13. James V. Beck and Kenneth J. Arnold, Parameter Estimation in Engineering and Science, John Wiley&Sons, New York, pp.340-345, 1977.
14. 3456, “%&L”, 789g:;, pp.96-97, 1990. 15. b<, &e45(ä), $rÙ, = 20 > 2 ?, pp.6-20, 1998.
îA º _)äcA 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 0.70 0.80 0.90 1.00 Tran smit tance (100 % ) 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (c) H=18mm 0.70 0.80 0.90 1.00 Tran smi ttanc e (1 00% ) 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 0.70 0.80 0.90 1.00 Tran smit tance (100 % ) 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) ] ,&¬hef\89& 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 2.9680E-6 2.9720E-6 2.9760E-6 2.9800E-6 2.9840E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 2.8880E-6 2.8920E-6 2.8960E-6 2.9000E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (c) H=18mm 2.9680E-6 2.9720E-6 2.9760E-6 2.9800E-6 2.9840E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 2.9160E-6 2.9200E-6 2.9240E-6 2.9280E-6 2.9320E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 2.9600E-6 2.9640E-6 2.9680E-6 2.9720E-6 2.9760E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 2.9500E-6 2.9520E-6 2.9540E-6 2.9560E-6 2.9580E-6 2.9600E-6 Pow er ra tio Ü ,&¬hef\K&i 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (c) H=18mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 0.70 0.80 0.90 1.00 Tran smit tance (100 %) 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 0.70 0.80 0.90 1.00 Tran smi ttanc e (1 00% ) ,&¬hd\89& 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 2.6880E-6 2.6920E-6 2.6960E-6 2.7000E-6 2.7040E-6 2.7080E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 2.7160E-6 2.7200E-6 2.7240E-6 2.7280E-6 2.7320E-6 2.7360E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (c) H=18mm 2.6840E-6 2.6880E-6 2.6920E-6 2.6960E-6 2.7000E-6 2.7040E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 2.6960E-6 2.7000E-6 2.7040E-6 2.7080E-6 2.7120E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 2.7240E-6 2.7280E-6 2.7320E-6 2.7360E-6 2.7400E-6 Pow er ra tio 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 2.8280E-6 2.8320E-6 2.8360E-6 2.8400E-6 2.8440E-6 2.8480E-6 Pow er ra tio Ø ,&¬hd\K&i 0.00 100.00 200.00 300.00 400.00 Time (min) 2.8400E-6 2.8600E-6 2.8800E-6 2.9000E-6 Po we r r at io ¯Â¤ô Äa¯B² G í ,cdÇb 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 0.00E+0 4.00E+12 8.00E+12 1.20E+13 1.60E+13 2.00E+13 Con centr ation (1/m m3) 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 0.00E+0 4.00E+12 8.00E+12 1.20E+13 1.60E+13 2.00E+13 Con centr ation (1/m m3) 0.00 200.00 400.00 600.00 Time (min) (c) H=18mm 0.00E+0 4.00E+12 8.00E+12 1.20E+13 1.60E+13 2.00E+13 Con centr ation (1/m m3) 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 0.00E+0 4.00E+12 8.00E+12 1.20E+13 1.60E+13 2.00E+13 Con centr ation (1/m m3) 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 4.00E+12 8.00E+12 1.20E+13 1.60E+13 2.00E+13 Con centr ation (1/m m3) 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 4.00E+12 8.00E+12 1.20E+13 1.60E+13 2.00E+13 2.40E+13 Con centr ation (1/m m3) õ ,ef\kQgJ3&¬ba 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 0.00E+0 2.00E+12 4.00E+12 6.00E+12 8.00E+12 Co ncen trati on (1 /mm3 ) 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 0.00E+0 2.00E+12 4.00E+12 6.00E+12 8.00E+12 1.00E+13 Co ncen trati on (1 /mm3 ) 0.00 200.00 400.00 600.00 Time (min) (c) H=18mm 0.00E+0 2.00E+12 4.00E+12 6.00E+12 8.00E+12 1.00E+13 Co ncen trati on (1 /mm3 ) 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 0.00E+0 2.00E+12 4.00E+12 6.00E+12 8.00E+12 Co ncen trati on (1 /mm3 ) 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 0.00E+0 2.00E+12 4.00E+12 6.00E+12 8.00E+12 Co ncen trati on (1 /mm3 ) 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 0.00E+0 2.00E+12 4.00E+12 6.00E+12 8.00E+12 Co ncen trati on (1 /mm3 ) ö ,d\kQgJ3&¬ba 0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 0.000 0.010 0.020 0.030 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 0.000 0.010 0.020 0.030 0.040 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (c) H= 18mm 0.000 0.010 0.020 0.030 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 0.000 0.010 0.020 0.030 0.040 Velo city ( m m/m in) 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 0.000 0.005 0.010 0.015 0.020 0.025 Velo city ( m m/m in) 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 0.000 0.005 0.010 0.015 0.020 0.025 Velo city ( m m/m in) ú ,ef\@_`a0.00 200.00 400.00 600.00 Time (min) (a) H=0mm 0.000 0.010 0.020 0.030 0.040 0.050 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (b) H=9mm 0.000 0.010 0.020 0.030 0.040 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (c) H= 18mm 0.000 0.010 0.020 0.030 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (d) H=27mm 0.000 0.010 0.020 0.030 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (e) H=36mm 0.000 0.005 0.010 0.015 0.020 0.025 Velo city ( mm/m in) 0.00 200.00 400.00 600.00 Time (min) (f) H=45mm 0.000 0.005 0.010 0.015 0.020 0.025 Velo city ( mm/m in) ú ,d\@_`a 0.00 100.00 200.00 300.00 400.00 Time (min) (a) H=0mm 0.84 0.88 0.92 0.96 1.00 Tran smit tance (100 %) 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=9mm 0.84 0.88 0.92 0.96 1.00 Tran smit tance (100 %) 0.00 100.00 200.00 300.00 400.00 Time (min) (c) H=18mm 0.84 0.88 0.92 0.96 1.00 Tran smit tance (100 %) 0.00 100.00 200.00 300.00 400.00 Time (min) (d) H=27mm 0.84 0.88 0.92 0.96 1.00 Tran smit tance (100 %) 0.00 100.00 200.00 300.00 400.00 Time (min) (e) H=36mm 0.84 0.88 0.92 0.96 1.00 Tran smit tance (100 %) 0.00 100.00 200.00 300.00 400.00 Time (min) (f) H=45mm 0.84 0.88 0.92 0.96 1.00 Tran smit tance (100 %) úº ,&¬hd\89& 0.00 100.00 200.00 300.00 400.00 Time (min) (a) H=0mm 3.7110E-6 3.7120E-6 3.7130E-6 3.7140E-6 3.7150E-6 Pow er ra tio 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=9mm 3.6980E-6 3.6990E-6 3.7000E-6 3.7010E-6 3.7020E-6 P ower r atio 0.00 100.00 200.00 300.00 400.00 Time (min) (c) H=18mm 3.6760E-6 3.6770E-6 3.6780E-6 3.6790E-6 3.6800E-6 3.6810E-6 Pow er ra tio 0.00 100.00 200.00 300.00 400.00 Time (min) (d) H=27mm 3.6760E-6 3.6780E-6 3.6800E-6 Pow er ra tio 0.00 100.00 200.00 300.00 400.00 Time (min) (e) H=36mm 3.7060E-6 3.7070E-6 3.7080E-6 3.7090E-6 3.7100E-6 Pow er ra tio 0.00 100.00 200.00 300.00 400.00 Time (min) (f) H=45mm 3.7260E-6 3.7270E-6 3.7280E-6 3.7290E-6 3.7300E-6 P ower r atio ú] ,&¬hd\K& 0.00 100.00 200.00 300.00 400.00 Time (min) (a) H=0mm 0.00E+0 1.00E+12 2.00E+12 3.00E+12 4.00E+12 Co ncen tratio on (1 /mm 3) 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=9mm 0.00E+0 1.00E+12 2.00E+12 3.00E+12 4.00E+12 Co ncen tratio on (1 /mm 3) 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=18mm 1.00E+12 2.00E+12 3.00E+12 4.00E+12 Co ncen tratio on (1 /mm 3) 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=27mm 0.00E+0 1.00E+12 2.00E+12 3.00E+12 4.00E+12 Co ncen tratio on (1 /mm 3) 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=36mm 0.00E+0 1.00E+12 2.00E+12 3.00E+12 4.00E+12 Co ncen tratio on (1 /mm 3) 0.00 100.00 200.00 300.00 400.00 Time (min) (b) H=45mm 0.00E+0 1.00E+12 2.00E+12 3.00E+12 4.00E+12 Co ncen tratio on (1 /mm 3) úÜ ,d\kQgJ3&¬ba 0.00 4.00 8.00 12.00 16.00 20.00 Time (min) (a) H=0mm 0.00E+0 1.00E-3 2.00E-3 3.00E-3 4.00E-3 Velo city ( m m/m in) 0.00 4.00 8.00 12.00 16.00 20.00 Time (min) (a) H=9mm 0.00E+0 1.00E-3 2.00E-3 3.00E-3 4.00E-3 Velo city ( m m/m in) 0.00 4.00 8.00 12.00 16.00 20.00 Time (min) (a) H=18mm 0.00E+0 1.00E-3 2.00E-3 3.00E-3 4.00E-3 Velo city ( m m/m in) 0.00 4.00 8.00 12.00 16.00 20.00 Time (min) (a) H=27mm 0.00E+0 1.00E-3 2.00E-3 3.00E-3 4.00E-3 Velo city ( m m/m in) 0.00 4.00 8.00 12.00 16.00 20.00 Time (min) (a) H=36mm 0.00E+0 1.00E-3 2.00E-3 3.00E-3 4.00E-3 Velo city ( m m/m in) 0.00 4.00 8.00 12.00 16.00 20.00 Time (min) (a) H=45mm 0.00E+0 1.00E-3 2.00E-3 3.00E-3 4.00E-3 Velo city ( m m/m in) ú ,d\@_`a #(-BkgJ3&¬baK&¬Àe mm mm &¬ba1/mm3 &¬Àemm