nblib.library.kz - /elib/library.kz/jurnal/v_2007_2/

42

2007. 2

1. . -

. .: , 1969. . 622.

2.Brener A.M., Bolgov N.P., Sokolov N.M., Tarat E.Ya.

The application of random walk methods to the modelling of liquid distribution on the regular shelf packing // Theor. Found.

of Chem. Eng. 1981. V. 15(1). P. 62-67.

3.Brener A.M. Adaptation of random walk methods to the modelling of liquid distribution in packed columns // Advances in Fluid Mechanics, IV. Southampton, Boston: WIT Press, 2002.

P. 291-300.

4. ., ., . . .:

, 1982. C. 696.

i -

i .

i .

.

Summary

The new approach to modelling the liquid distribution influence on the heat and mass transfer intensity in the gas- liquid chemical reactors has been carried out. The expressions obtained can be applied to the design of reactors with allowance for the scaling phenomena.

513.83

. . 3.03.07 .

. . , . .

- ,

-

, . . .

- -

, -

. . [1, 2] ( . [3, c. 27]

-

). , -

-

L n , -

L

, -

:

0 0

0

u

Lu , L u

_{1 0}

u

₁

u

₀

, ...,

1

0 S S

S

u u

u

L . (1)

-

[4, c.179] N f,

m -

0 )

( A E

^m

f

– -

; – -

), -

,

, f

N -

, .

N -

- ,

f

i

f

f

₀

,

₁

, , ^{, ,}

(1)

0

,

0

f

Af Af

₁

f

₁

f

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1 i i

i

f f

Af .

(1)

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-

. . [5].

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43 ,

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. -

. . [5]

,

, -

- .

(1) -

-

1 3 2

, , , L L L

L .

. -

) )(

( ) )(

(

_{1 0 2 0} ²

0

y L y L y

L Ly

0 ) )(

( L

_S

y

₀ ^S

, (2)

– ;

L

i

–

;

₀

– .

(1) :

2 0 2

0 2 0 0

1

0

( ) ( )

) ) (

) ( ( )

( y x y x

x y x

y .

(3)

(2) (1),

y L y

L y

L 1 ( )( )

) )(

1 (

₂

0 2 2 0 0 0 1 0 0 0 0

y

S

L )( )

(

_{1 0 0 1 1 0} ²

0

) )(

1 ( y L

2 0 0 2 3

0 2 1 2 0

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( )

)(

1 (

y L y

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L 1 ( )( )

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1 (

₄

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S S

y

L )( )

(

_{0 0}

1 ( )( )

1

0 1 0

S S

y

L

0 )

)(

1 (

₂

0 2 2

0

S S

y

L . (4)

- )

k

(

₀

, k = 0,1,2,...

0 :

)

(

₀ ⁰

L

₀

y

₀

; (5) 1 0

: )

(

_{0 1 1 0}

0

0

L y L y ; (6)

1 0 : 1

)

(

_{1 1 2 0}

0 2 2 0 0 2

0

L y L y L y ; (7)

- - - - 1

: 1 )

(

_{1 1 1}

0 0 0

0 ^S _S

L y

_{S S}

L y

_S

1 0

0 1 1 0

y L y

L

_{S S}

. (8)

0

(1), (3) (4) -

0

0

Ly , (9) (1), (3) (5)

) 0 (

! 1

1

₀

0 1

Ly Ly . (10)

(1), (3) (8)

0

, -

:

) 0 (

! 2 ) 1 (

! 1

1

2 0 2 2 0 1 0

2

Ly

Ly Ly . (11)

(1), (3)

(7)

₀

-

) (

! 2 ) 1 (

! 1

1

2 2 2 2 0 1 0

S S

S

Ly Ly Ly

0 ) (

) (

! 1

0 0

0 S

S

S

Ly

S . (12)

)

0

( x

y -

,

0

, y

₁

( x ), y

₂

( x ),..., y

_S

( x ) – -

, -

)

0

( x

y -

0

, -

(9)–(12).

, L (2)

y Ay

Ly ,

44

2007. 2

– , -

(9)–(12)

- :

0 0 0

1 0 1 0 0

2 0 2 0 1

0 0 1

0, ,

,

S S S

Ay y

Ay y y

Ay y y

Ay y y

0 0

0

y

Ay , Ay

_{1 0}

( y

₁

y

₀

) , )

(

_{2 1}

0

2

y y

Ay , ..., Ay

_{S 0}

( y

_S

y

_{S 1}

) . (13) - ,

. . [6], -

-

, -

. .

. u

_k0

– ,

1

u

k

– ,

(13) L

L

1

, u

_k0

, u

_k1

-

L

₂

. -

L

₂

u

_k0

, u

_k1

c

_k

u

_k0

-

1 2 0

||

2

|| ||

|| u

_{k L}

u

_{k L}

(14) k.

(14) -

.

1. -

u x q u

Lu ( ) , x G , | G | , (15)

-

, -

, , -

(1), [7, 8]:

) 2( , 0

) 2( 1

,

|| | | || ||

|| u

_{k j L G}

c u

_{k j L G}

, (16)

const

| Im

| q ( x ) L

₁

( G ) ,

(13), -

(16)

) 2( , 1 ) 2( 1

,

|| || ||

|| u

_{k j L G}

c u

_{k j L G}

. ,

(14) ,

const

| Im

| q ( x ) L

₁

( G ) ,

c

k

,

c

k

.

- .

,

Lu

kj _k

u

_{kj k}

u

_{kj 1}

. . [10], . . [11].

2. (14)

[13, c. 418], - (13).

- .

1.

1 0

,

_k

k

u

u

(15) (13)

L

₂

(G), -

0 1

0

,

_{k k k}

k

u c u

u L

₂

(G).

2.

- (13)

, -

. ,

-

, -

45

. ,

(13) ,

c

k

, -

(13)

c

k

. -

, -

(1)

-

, -

(13), .

. . . ,

. . . , . . . -

, -

.

1. . -

// . 1951. . 77, 1. . 11-14.

2. . -

// . 1971.

. 26, . 4. . 15-41.

3. . -

. ., 1969. 528 .

4. ., . -

. ., 1966. 544 .

5. .

-

//

. . 1976. . 142. . 148-155.

6. . -

. I, II // -

. 1980. 5. . 777-794; 6. . 981-1009.

7. .

// . 1983. . 273, 4. . 807-810.

8. . -

// - . 1982. . 18, 10. . 1684-1694.

9. ., .

- . ., 1965. 448 .

10. .

-

// . 1986.

. 22, 12. . 2059-2071.

11. . -

-

// . ., 1977. . 13,

2. . 294-304.

i -

i .

Summary

This article offers and maintaines New formulas for building Lines of the united functions non-self-conjugacy of equations.

517.927.25

. . ,

. 4.02.07 .

. . , . .

, .

. . . , -

- -

. 60- . .

- -

. -

, , .

-

,

.