Page 146 - 《水资源与水工程学报》2024年第6期
P. 146
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1 2 & ' ( ) & * + , - 2024 $
2
ÅÓD` [20] AÔÙ;k FHI,J; γFaIíǰ,m /s;
γ= μ / ρ , μFIJíc,Pa·s;f F xDEü=¯Ö
α w α w i i
+u =0 (2)
t i x J,N; μ t F^Iíǰ,m /s;C Fáj¢×K
2
i
μ
I9D` =åÙ、 °'=å¹c¹pH÷ (k K ε )
u (uu) 1 p u i u 2 u Ì;S F×ú{9¬9c9;S Fáj¢×Ù;
i
i j
+ =f- + μ ( + j - δ ) ij
k
i
t x ρ x x x x 3 x
ij
i
j
i
j j
k
Ω ij F¹¹c ω k +°óáj=å¹
(3)
Ù{9,r/s;C =max(0.43,η /( η+5)),η =
1
k D` 2 2
Sk/ ε ;G Fáj¹câ×I,m /s;G FÛ
b
k
( ρ k) ( ρ uk) ( [ μ+ ) ] Jâ×I,m /s;Y FépH¤IGH
μ t k
2
2
j
k
b
t + x = x x +G +G - M
j
j
j
σ k
kgAÔÙ;W Fw1s^); ß
ρε-Y M (4)
A =4.04、C =1.44、C =1.90; HÒÍX
1 ε
2
0
εD`
σ k =1.0、 σ =1.2。
ε
( ρε ) ( ρ u ε ) ( [ μ+ ) ]
μ t ε
j
1
t + x = x σ x +ρ CS ε- 4 Ñ+-.ÌQR
j
j
j
ε
ε 2 ε
Cρ +C 1 ε C G 4HØÙaZ¼¤6IuØÙTxV, v&
2
3 ε b
k+ γε k
槡
CÐnl¨。FcÐÑÍl£l¨, É%BkZ¼
(5)
bcÖ、 Iõ¾。%B4¯ÍkZ¼n
2
=Cρ k/ ε (6)
μ t μ
IXÇV, Îw ModalAcoustics 1bI
1
C = (7)
μ õ'Ï, sc4¯éJ¨, ®cH¯e¯ø
A +AU k/ ε
s
0
ÈJXcHI~²ß¨。P4¯ÂKZ¼Â
U = 槡 ij ij 槇 槇 (8) JXF\K*+Km*+, PH¯aÂTò
SS +Ω ij Ω ij
槇 ¨JXFHI~²ß¨。k{4Z<Z¼m
Ω ij =Ω ij -3 ε ijk ω k (9)
A = 槡 6 (10) 4Ku4 2Ð_Á}¹pZ¼Ôk^cF
s 10%、20%、30%、40%、50%、60%、70%、80%V
3cos( 6W)
槡
j u
u u u Q 6 ºõbc'Ï, ócÂØÙ¢, µ
( + k )( k + i )
x x x x Ä 1 +。¿|qnøéµé 4 +。
W = k j i k (11) [21]
u j u i 2 ¢39eü¢Kø·f]£óô : u
( + )
x x 93%Z¼¿_v¤`|¶4H¤IWØÙ
i
j
1 u j u 1~20Hz *w%, ¿| 48.5% 1~10Hz *w%, ù
S = ( + ) (12)
i
ij
2 x x
i j ó44.5%§10~20Hz *w%。 B¼Â,
õ|: α w Füý4Ô¯Ö;ρFH¯$c, Z¼J'_vºlV¢^0IJK¾, óZ¼
3
kg/m;t FVw,s;p Fé^,Pa;u、u、u F
i j k ¤nØÙ²9ëä4H¤IØÙåæ, AVFZ¼B
¹c
9 x、x、xDEB9,m/s; εFH UnI*+ÂJ'uØKE2¢。
i
j
k
l 1 7XA§¨84°1=9¾æ Hz
õ m4 d Z¼Ôk^c /%
º _Á _Á 10 20 30 40 50 60 70 80
1 77.369 12.211 13.185 14.600 17.620 19.662 21 .036 22.280 23.215 23.537
2 91.637 19.463 23.531 28.679 30.112 30.710 36.458 43.229 45.331 46.710
3 92.286 30.109 38.442 46.033 47.556 48.014 50.365 58.093 62.158 64.026
4 96.166 50.126 56.360 61.068 62.643 63.561 65.215 67.650 68.561 69.841
5 103.470 61.136 65.223 67.463 68.015 68.786 72.061 74.117 76.548 77.366
6 133.790 72.869 79.423 82.882 83.567 83.733 8 5.002 86.622 88.520 89.624