CH10(137-143)CH11(1-81)pdf

CH10(137-143)CH11(1-81)pdf - 43146: Lqirupdwlrq dqg...

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43146: Lqirupdwlrq dqg Dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg yhorflw| lq pdlq fkdqqho dqg ryhuedqn duhdv Vroxwlrq T @4 = 7<^ D 4 U 5 @ 6 4 @q 4 . D 5 U 5 @ 6 5 @q 5 ` V 4 @ 5 93 > 333 @ 4 = 7<^5 > 333+7 = 7<6, @ 3 = 35 . 5 > 333+5 = ;:9, @q 5 `+ = 3373, 4 @ 5 969 > :33 @ 77< > 633 . 8 > :85 @q 5 q 5 @8 > :85+969 > :33 ± 77< > 633, @3 = 363: Y 4 @+ 4 = 7< @q 4 , U 5 @ 6 4 V 4 @ 5 4 = 7< @ 3 = 35,+7 = 7<6,+3 = 39658, @ 54 = 4: iw2v T 4 @ Y 4 D 4 @54 = 4: ² 5 > 333 @ 75 > 676 fiv Y 5 4 = 7< @ 3 = 363:,+5 = ;:<,+3 = 39658, @; = ;6; iw2v T 5 @ Y 5 D 5 = ;6; ² 5 > 333 @ 4: > 9:9 fiv <88
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43146; Lqirupdwlrq dqg Dvvxpswlrqv dvvxph |A 43 exw ? 4; surylghg lq sureohp vwdwhphqw Ilqg ghswk dqg ±rz udwh lq pdlq fkdqqho/ ohiw ryhuedqn duhd dqg uljkw ryhuedqn duhd Vroxwlrq Ohw vxevfulswv 4 dqg 5 uhihu wr wkh pdlq fkdqqho dqg ryhuedqn fkdqqhov uhvshfwlyho|1 Pdlq Fkdqqho= D 4 @4 3 5 = 8+43, . ^438 . + | ± 43, @ ;`+ | ± 43, @ 4358 . +436 = :8 . 3 = 46 | ,+ | ± 43, S 4 3 3. + 4 3 5 .5 = 8 5 , 4 @ 5 .^ | 5 .+ |@ 7, 5 ` 4 @ 5 3 4 3 = 6.4 = 36 | 4 3 = = 36 | Ryhuedqn= D 5 @ 533+ | ± 43, S 5 @ 533 . | ± 43 @ 4<3 . | Iurp Ht1 43183 T W = 7< s V r [ 4 q DU 5 @ 6 q ruiruwk lvsure ohp T W 4 = 7< ² +3 = 337, 4 @ 5 @ 4 q 4 D 4 U 5 @ 6 4 . 4 q 5 D 5 U 5 @ 6 5 78 > 833 4 = 7<+ = 337, 4 @ 5 @ 4 > 358 . +436 = :8 . = 46 | ,+ | ± 43, 3 = 358 ² ± 4 > 358 . +436 = :8 . = 46 | ,+ | ± 43, 443 = = 36 | ² 5 @ 6 . 533+ | ± 43, 3 = 3: ± 533+ | ± 43, 4<3 . | ² 5 @ 6 Vroylqj iru | e| wuldo dqg huuru |lhogv= | @4: = 4iw Wkxv iru wkh pdlq fkdqqho= | @4: = 4 iw1 Wkh glvfkdujh lv T pdlq @ T 4 @ 4 = 7<+3 = 337, 4 @ 5 3 = 358 % D 4 ³ D 4 U 4 ´ 5 @ 6 & @ 6;/:33 fiv T ryhuedqn @78 > 733 ± 6; > :33 @ 9 > :33 fiv <89
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43146< Lqirupdwlrq dqg Dvvxpswlrqv iurp Wdeoh 4317= q +ryhuedqn, @ 3 = 39 @ q 5 iurp Wdeoh 4316= q +pdlq fkdqqho, @ 3 = 358 @ q 4 surylghg lq sureohp vwdwhphqw Ilqg ghswk ri ±rz iru vxpphu ±rrg Vroxwlrq Wkh vroxwlrq iru | pxvw eh pdgh gl²huhqwo| iru |? 53 dqg |A 531 Lqlwldoo| zh dvvxph 53 = D 4 @+833. | , |>S 4 @833.5 = ;5; | Iurp Ht1 43178 T @;3 > 333 @ +4 = 7< @ 3 = 358,+833 . | , | ^+833 . | , |@ +833 . 5 = ;5; | ,` 5 @ 6 +3 = 333<, 4 @ 5 Vroyh iru | e| wuldo dqg huuru |lhogv | @47 = ;iw <8:
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431473 Lqirupdwlrq dqg Dvvxpswlrqv surylghg lq sureohp vwdwhphqw Ilqg ordg glvwulexwlrq dqg suhvvxuh dw ordg srlqwv1 Vroxwlrq Dq dvvxpswlrq lv pdgh iru wkh glvfkdujh lq doo slshv pdnlqj fhuwdlq wkdw wkh frqwlqxlw| htxdwlrq lv vdwlv±hg dw hdfk mxqfwlrq1 Wkh iroorzlqj ±jxuh vkrzv wkh qhwzrun zlwk dvvxphg ²rzv1 A B C D E 10 cfs 10 cfs 5 cfs 5 c f s 0 cfs k=0.3021 k=0.3021 k=0.00944 k = 1 . 0 9 k=2.294 k=0.7516 15 cfs 10 cfs 5 cfs Wkh Gduf|0Zhlvedfk htxdwlrq lv xvhg iru frpsxwlqj wkh khdg orvv> wkhuhiruh/ zh kdyh k i @ i ± O G ²± Y 5 5 j ² @; ± iO jG 8 ± 5 ² T 5 @ nT 5 = zkhuh n ³ jG 8 5 ´ = Wkh orvv frh³flhqw/ n / iru hdfk slsh lv frpsxwhg dqg vkrzq lq Ilj1 D1 Qh{w/ wkh ²rz fruuhfwlrqv iru hdfk orrs duh fdofxodwhg dv vkrzq lq wkh dffrpsdq|lqj wdeoh1 Vlqfh q @ 5 +h{srqhqw rq T ,/ qnT q 4 @5 1 Zkhq wkh fruuhfwlrq rewdlqhg lq wkh wdeoh duh dssolhg wr wkh wzr orrsv/ zh jhw wkh slsh glvfkdujhv vkrzq lq Ilj1 E1 Wkhq zlwk dgglwlrqdo lwhudwlrqv/ zh jhw wkh ±qdo glvwulexwlrq ri ²rz dv vkrzq lq Ilj1 F1 Ilqdoo|/ wkh suhvvxuhv dw wkh ordg srlqwv duh fdofxodwhg1 Orrs DEF Slsh k i @ 5 5 DE .31<77 314;< DG 05917:8 4318<3 EG 33 S 5 f ± S 5 ff 058186 S 5 NT @43 = :; ´[email protected]<[email protected] fiv <8;
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Orrs EFGH Slsh k i 5 nT EF .63154 91375 EG 33 FH GH 0:188 6 = 35 .55199 <1395 ±[email protected]:;@05173 fiv A B C D E 12.4 cfs 7.5 cfs 7.5 cfs 2 . 6 c f s 4.9 cfs 2.5 cfs 10 cfs 5 cfs 15 cfs A B C D E 11.4 cfs 9.0 cfs 6.0 cfs 3 0 2.40 cfs 1.0 cfs 10 cfs 5 cfs 15 cfs s F @ s D ± ± + n DE T 5 DE . n T 5 , @9 3 s v l ² 477 svi2svl ± 95 = 7+3 = 33<77 ² 44 = 7 5 .3 = 6354 ² < = 3 5 , @; 9 7 3 s v i ± 4936 svi @: 3 6 : s v i @7 ; = <sv l s H 9 7 3 ± ± + n DG T 5 DG . n GH T 5 GH , 9 7 3 ± 95 = 7+4 = 38< ² 6 = 8
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This note was uploaded on 12/09/2009 for the course CE 2200 taught by Professor Deng during the Spring '09 term at LSU.

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CH10(137-143)CH11(1-81)pdf - 43146: Lqirupdwlrq dqg...

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