Page 146 - 《水资源与水工程学报》2024年第6期
P. 146

4
             1 2                      & ' ( ) & * + , -                 2024 $
                                                                                                         2
                 ÅÓD`    [20]                                  AÔÙ;k F„HI,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、 °'=冖¹c¹p„H÷ (k K ε )†
             u  (uu)        1  p       u i  u  2  u     ̀;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 F¹–¹c ω k +š†”•°ó†áj=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 F“ép„H¤IGH
                                        μ t  k
                                                                                2
                                                                                   2
                         j
                                                  k
                                                       b
               t  +    x   =  x          x  +G +G -                               M
                                             j
                                 j
                         j
                                        σ k
                                                               kgAÔن‡ˆ;W Fw1s†^); ߀
                               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、 Iõ˜¾。š%B4¯ÍškZ¼n
                         2
                   =Cρ k/ ε                            (6)
                 μ t   μ
                                                               IXdž‡ˆV, Îw ModalAcoustics 1’bI
                           1
                 C =                                   (7)
                  μ                                           õ'Ï, sc4¯éJ¨, ­®cH¯e¯ø
                      A +AU k/ ε
                            s
                       0
                                                               ÈJXcHI~²ß¨。˜ƒP4¯Â­KZ¼Â
                  
                 U =   槡  ij ij  槇 槇                   (8)     ­JXF\K*+Km„*+, PH¯a­Tò
                         SS +Ω ij Ω ij
                 槇                                             ¨JXFHI~²ß¨。˜ƒk{4Z<Z¼šm
                 Ω ij  =Ω ij -3 ε ijk ω k              (9)
                 A =      槡 6                         (10)     4Ku4 2Ð_Á}¹pZ¼Ôk^c˜ƒF
                  s                                            10%、20%、30%、40%、50%、60%、70%、80%V†
                     3cos( 6W)
                           槡
                         j  u
                        u         u   u                     Q 6 ºõ’bc'Ï, óc­†ØÙ€¢, µ
                     (    +   k )(  k  +  i )
                        x   x    x   x                     Ä 1 +—。¿|q˜nøéµé 4 +—。
                 W =     k    j     i    k            (11)                                             [21]
                             u j  u i 2                          ›¢39eü€¢Kø·f]£óô                      : u
                           (   +    )
                             x   x                           93%†Z¼š¿_v¤`|Œ¶†4H¤IWØÙš
                              i
                                   j
                      1  u j  u                              1~20Hz *w%, ¿| 48.5%š 1~10Hz *w%, ù
                 S =    (   + )                       (12)
                                 i
                  ij
                      2 x      x
                          i    j                              ó†44.5%˜§š10~20Hz *w%。Ÿ B¼Âž,
            õ|: α w Füý4Ԇ¯Ö˜€;ρFH¯$c,                         Z¼šJ'_vºlV¢^0IJK˜¾, ‡óZ¼
                 3
            kg/m;t FVw,s;p Fé^,Pa;u、u、u ˜ƒF
                                             i  j  k           ¤nØÙ²9ëä4H¤IØÙåæ, AVFZ¼B
            ¹c…9š x、x、xDEB†˜9,m/s; εF„H                        UnI*+†Â­J'u؈”•K”E2¢。
                        i
                           j
                             k
                                            l 1 ž7XA§¨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
   141   142   143   144   145   146   147   148   149   150   151