㳿 - . - . ֳ , . - , , . . , - .
, - , . - ' .
, S r 1 :
(60)
...D e , D , 2/; , /; δ1 , ; α, β (/2 0) (/); y ; S = v/D, Pr = v/ .
- , α~a2/3 β~D2/3, (60) n=3. - :
(61)
(62)
L = (R1Sc)-1/3; N = (R1Pr)-1/3; Sc, Pr ; R1= UP; δ1/v ; v ,2/; , /(); p , /3.
(61) (62) - . R1 .
³, Re>40, Re=w d/(V. v) ; W - , /; d , ; V ᒺ.
³ , R1 11,6 . 䳺 , R1 .
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:
, (63)
, /; , /; τ , .
S r 1 v(y) (60). (63) :
, (64)
.
(61), (62) (64) : ε 㳿 , /3. ϳ (60), :
, (65)
㳿 ᒺ :
, (66)
, ; ∆. , :
(67)
ξ .
. . , , (64) :
(68)
=00 u∞≈W , u∞≈W.
:
(69)
WC. , /.
(68) (69) :
, (70)
:
г (61) (64) (65) , (. 50). (62) , (. 51). .
(64) (65). (61) (62).
. 50. Sh/Sc1/3 , (61)
. 51.
, (62)
ϳ (61) (65), :
, (71)
,
(71) b=R1 5/12[k1+k2+π] b=f(R1,Sc). , R1 i Sc b Re = 102-104 i Sc = 0,5-3. (71) :
. (72)
:
. (73)
Sh=βdE/D Nu = αd/(apcP), (72) (73), 13 14.
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13
/ | Rer | Sh/Sc-1/3 (72) | Sh/Sc-1/3 ó- | (72), % | Sh/Sc-1/3 | (72), % |
7,39 | 8,31 | -11,0 | 7,47 | -1,0 | ||
14,04 | 15,14 | -7,0 | 13,35 | 5,0 | ||
22,81 | 23,84 | -4,0 | 20,81 | 9,0 | ||
37,05 | 37,54 | -2,0 | 32,43 | 14,0 | ||
70,36 | 68,43 | 3,0 | 2.103 | |||
114,31 | 107,75 | 6,0 | - | - | ||
185,70 | 169,67 | 9,0 | - | - |
, , ᒺ v. . W. 㳿 㳿, ᒺ εA-D , 㳿, .
14
/ | Rer | Nu/Pr-1/3 (73) | Nu/Pr-1/3 | - , % |
10,37 | 9,95 | 4,0 | ||
19,47 | 18,91 | 3,0 | ||
31,36 | 30,71 | 2,0 | ||
58,88 | 58,33 | 1,0 | ||
94,83 | 94,77 | - | ||
119,51 | 119,9 | -1,0 |
(61) u R1 -.
(65) 㳿:
, (74)
v , 3/3; ∆- ∆ ., , , .
, . ψW<1, , :
(64) , , . , , /; .
(71) , b = 30-90. b , . b=538,9q0,4, q , 3/(2). (71) :
. (75)
ᒺ :
, (76)
aV , 2/3; ψ .
ᒺ (76) . 52. :
, (77)
W, W , /(2). 10 3/(2).
, . ψW>ψA, , : , , /. . 53, : .
г (76) 15-35 , Re = (2-20) 102 q = (2,0-9,0) 10-3. .
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R 103, 1/4
. 52. ᒺ
25 , ( 1), ( 2), ( 3), (76) ( 4)
. 53. , (76)
- , .