2
1
- . .
- -
: ]2[ . ]3[
. .]1[
. ]4[ ]8-5[ . ]9[
. .
. . ]01[ . ]31-11[
.
v v v +u +v = x y 1 p ) + v 2v + y (t t y t t u + v = 2 t x
y
: ) ( . "" .
y . :y u x =, Y =, U L L u v t t p =, P = V = , T u tw t 2 u
=X
= Re = , Pr 3g (t w t )L = Gr 3uL
,
:U V + 0= X Y U U U +U +V = X Y 2 1 P + U X Re V V V +U +V = X Y
2 1 Gr P + V + 2T Re Y Re
.
)1( : )2( :x
:
)3( :y
:u v + 0= x y
: : x
)4( :T T T 1 +U +V = 2T Re.Pr X Y
u u u 1 p +u +v = + 2u x y x
:y
: : ) 4-1( . . ]41[ ]51[ ) ( MAC . * V : )5(ur * ur n ur n ur n
1 2 ur n uu r V V + (V .)V 0 = V B Re
. ) (Projection ) (. : X = 0, 0 Y < G U : ,0 = X X = 1, 0 Y
< G v T P ,0 = ,0 = 0= X X X
B . * V 1+ n* ur n +1 ur V V 0 = 1+ + P n : 1 Y = 0, 0 X
uu r
X = 0, G Y X = 1, G Y T ,0 = V ,0 = X
H /L H /L P 0= X
,0 = :U
,1 = U = 0, V = 0, T: 1 Y = H / 2, 0 X
P 0= Y P 0= Y
: )6 (
,0 = U = 0, V = 1, T
T n +1 T n
)7(1+ ur n . V 0=
3 01 5 = . ) (MAC V :P n* ur
)6( )7( := 1+ 2 P n * 1 ur . V
)8(
.
0=boundury
)5( * U * V )8( SOR P
. :1 2 2 1 (U 0 +V 0 ) Re 2 4 1 2 Re X
)6( V . 1+ ur n
. .
0 U 0 V .
:
:U n+1 U n
,
V n+1 V n
dT dY
( =wall
4331 817 + Tw T 2,x 72 9
2Ri=Gr/Re
0001 02 T 3,x + T 4,x ) / D Y 72 3 Nu :Nu m = Nu x dX0 1
. :
:
= hx1 0
Nu x X k
) Gr g (t w t = 2 2 Re u
. ]61[.Gr : 1 2Re Gr : 1 2Re
hm = hx dX
. )1( . ]3[ .
Gr : 1
