CHOICE OF TURBULENCE MODELS TO STUDY OPEN FLOW ANISOTROPIC CONDITION

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  • 532.5:627.13

    .. , , ...,

    . k- - . : , , , k- , , , .

    - - , , - . . . , - .

    - . - . - [13], - . [1] - -. - . -, - . [2] -

    . - - . , , - . - . - -, .

    , - , - , - , . - , , - . , - , - , -, . : - , . k- - - , , - .

  • V14 V17 V19 V113

    V24 V27 V29 V213

    u24 u27 u29 u213

    V34 V37 V39 V313

    Psi4 Psi7 Psi9 Psi13

    3

    2 1

    . 1. -

    ( 4, 7, 9, 13 ):

    150 /cQ =

    1V (/); 2V (/); - (/); ( ) 2u

    3u V= 3 ; (-1); 1 ; 2 ; 3

  • - 1V 2V , - . - , 14 , , . =0,0014 - d=0,31 , , d=23 . Fr=0,0079-0,091 Re=13000-89000 . - , 10- - 22 . . - . - . , . - [4]. - (4, 7, 9, 13) . 1. 4 , -

    ; 7 , -; 9 -, ; 13 . 1V (. 1, ) - , . 2V (. 1, ) -

    . 2V - (. 1, ). - 2u (. 1, ), (. 1, ) 3u V3= ( ). - 2V , 2u , 3V - : - , , . - ( 4, 7) - , ( 9, 13) , , , - (. 1, ).

    Mk Me MNut

    Mk Me MNut

    Mk Me MNut

    . 2. Mk (2/2),

    M (2/3), Mt (2/) Q=150 /, -: k- 1 (1), k- 2 (3), k- 3 (4)

  • Pe4 Pe7 Pe9 Pe13

    V11V224 V11V227 V11V229 V11V2213

    V11V334 V11V337 V11V339 V11V3313

    Tu4 Tu7 Tu9 Tu13

    3

    2 1

    k- . 3.

    3 (4) 150 /cQ = ( 4, 7, 9, 13 ): -

    /; 1 1V V / 2 2V V ; 1 1V V / 3 3V V ; u; 1 ; 2 ; 3

    -

    k- 1

    k- . k- - - , [3,4]. ,

    2

    1 2

    ; (1)

    ,

    ti h kv

    i i k i

    t hi v

    i i i

    k k kV P Pt x x x

    PV C C P

    t x x x k

    + = + +

    + = + +

    t , -

    2 ,t C k = (2)

    ,

    hP-

    2i j

    h tj s

    V VP vx x

    = +

    ,

    ,kv vP P , -

    k

  • ( )3, ,i j kkv k

    UP C

    h

    = ,

    ( )4, ,2

    i j kvP C h

    = , U

    , -

    [4],

    U , ,i j k

    1 ,C 2 ,C ,k , 1,C ,C , . ,kC C

    [4]. k- 2 3 , - -

    .

    k- 2

    2

    1 2 .tii i i

    PV C Ct x x x k

    + = + k- 2

    ;ti k i

    k kx x

    + (3)

    ii

    kV Pt x

    + =

    1 2,C C ),

    3

    [3] - (5 . k- 2 - , - . k- -

    P -

    3

    2

    1 2 3 , ,

    ; (4)

    ,

    ti

    i i k i

    ti i j j i

    i i i

    k k kV Pt x x x

    PV C C C a at x x x k

    + = +

    + = + +

    ,

    -

    [3] 3C ija,

    2 ;3ij i j ij

    a V V k = ij jia a

    . , (3) (4)

    ( )

    1

    2123 1

    ij

    i j ij

    P P

    VV kC

    = + +

    5)

    3,

    ij

    P (

    .2

    i iii j

    j

    V PP VV

    x = =

    -

    3

    k- 2

    C P [3]

    ( )( ) ( )21 12 1 1 1 .3

    C C P C P = + + (6)

    t (3) (4)

    -

    (2). : k,

    t - h

    0

    3

    H

    Fz

    M F dx h= , { }, , tF k= (. 2, , , ).

    k, , t (. 2)

    ,

    . - 1 (1) k- 2 (3)

    -

    k - (. 2, , ), k- 3 (4), 0 (. 2, ). k- 2 3 (3, 4) , t =710

    -5 2/ (=1,0110-6 2/) (. 2, , ). k- 1 (1) ( - ) k- 2 3. - , (. 2, ). k- 1 (=0,09), . , - k- - 2 3 . . 3 - , 3. /P -

  • (. 3 ). , - - 2 3 3 9 . - /P =1 (. 3, ). /P - .

    .

    - - /P =1 =0,250,3,

    /P >1 =0,20 -

    2

    1V 6-10%

    1V . - ,

    1 1 V V / 2 2V V , 1 1 V V / 3 3 V V (. 3, , ), -

    1 1 V V 2 2 V V 3 3V V 20% , - , , - , . k- - 3 3 - k- 2.

    ( ) 22 2 2 11 2 3 3Tu V V V V = + + , k- 2 3 , (. 3 ), k- 3 (4) u 1,5

    (3

    .

    3 (4)

    2 ).

    - k- -.

    , , , - , . 1 (1), - , , - 2 (3), - 1 (1) /P , 1 1 V V / 2 2V V ,

    1 1V V / 3 3V V , u.

    2 3,

    k- -.

    .., .. . . 337. . 315.

    2. .., ..

    3.

    10 2005 .

    1.

    . 1990.

    . - . 1990. . 337. . 2656. .., .. - . .: , 2004. 172 .

    4. .. - . .: , 1995. 184 .

    : .. , , ..., .

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