Ενεργειακά Συστήματα Πλοιου Θέμα 2
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2
A. : 2014 2015
Joule Rankine.1 . , 1.013 bar -161.6 C. , . () (). , , , . . , . () ( ) 20C , . ( ) , .
. , .
W GT MW 28
Pa2 bar 19
1 , . , 2009.
1
T g3 C 1400
*
P0 bar 80
*
P bar 16
*
C 280
N [] 24
1:
*
( ) , .
1 : ( f2), ( a2) , ( g4) , , (ma , m f , mg) , (G T ) (W C F)
. , /.
1 bar 19 bar, r c=
Pa2Pa1
=19[ba r ]1[ba r ]
=19 ( ) .
c=0.85
, a=1.4 ka=a1a
=0.2857 . (6.31),
15C, : T a2=T a1[1+rc
k a1c
]=462.01C
1.013 bar ( ) -161.6 C. , r cf=18.7562 2 cf=0.82 . ,
2 , 19 bar. , 1.013 bar () , 1 bar .
2
f=1.3062 k f= f1 f
=0.2344 3 (6.31) ,
T f2=T f1[1+r cf
k f1 f
] = 27.36 C
462.01 C -27.36 C, 19 bar. (6.41):
m f[H u+c pf(T f2T 0)]b = ma[(1+ f )c pg(T g3T 0)c pa(T a2T 0)] 4
( H u = 50000kJkg
), 0 = 20 C ( , ).
f /, f = m fma
.
f , :
f =c pg (T g3T 0)c pa(T a2T 0)
b[H u+c pf (T f2T 0)c pg(T g3T 0)]= 0.0245
2%, Pg3=18.62 ba r . To 1.05 bar, r T=17.733 . =0.87 . g=1.33 k g=0.2481 . (6.32)
g4 = T g3[1 (1r tk g)] = 657.61 C 5
. , . (6.38)
W GT = mma [c pg(T g3T g4)c pa(T a2T a1)]
: 28 MW. ,
3 H f , CH 4
4 1 c pf(T f2T 0) . H u
5 1400C
3
ma =W G T
m[c pg (T g3T g4)c pa(T a2T a1)]= 64.7780 kg
s m=0.98 .
A f m f = 1.5867
kgs, mg = 66.3647
kgs
.
(6.39)
G T =W G Tm f H u
=28000 kJ
s
50000 kJkg1.5867kgs
= 0. 3529
2 (m0) (m ) ,
T g7 , T g9 , T g11 , 9 = 50 C
. = m
m0= 0.15
/. 6:
T g7 T 13Y+15 C ( )
T g9 T 13X+15 C ( )
T g11 120 C ( )
= mg c pg = 76.09[kWK
]
= 0.98 ().
:
(T g4T g11)=m0[h0+h (1+)h9]
6 O g , ,
4
A ,
min (510 C , T g440 C ) = min(510 C , 617.61 C ) = 510 C
/ (, ). , 12 12, 11 11, . p = 0.82 .
11 12 p =h12X 'h11Xh12Xh11X
, h12X '
( Mollier). h12X . h13X . Mollier 7
bar C kJ
kg
11X 1.1 95 398.0512X 18.8 95.2 400.2513X 18 207.11 ( = T s ) 884.58 (. )14X 18 207.11 ( = T s ) 2794.8 (. )X 16 280 2993.111 1.1 95 398.0512 83.8 95.2 405.5113 83 297.55 ( = T s ) 1331.4 (. )14 83 297.55 ( = T s ) 2755.5 (. )
0 (Y) 80 510 3416.3 2: /
, .
O :
7 , , .
5
T g7 312.55 C ( . )
T g9 222.11 C ( . )
T g11 120 C ( )
, . T g11=(T g11)min=120 C .
B(T g4T g11) = m0[h0+h (1+)h9]
m0 ( ) m0 = 11.2869kgs
g4 g7 0 13 (), 14 ()
B(T g4T g7) = m0[(h0h13Y)+ (hXh14X)]
g7 T g7 = 343.95 C > T 13Y+15 = 312.55 C .
g7 g9 13 14 (), 13 13 (),
B(T g7T g9) = m0[(h13Yh12Y)+(h14Xh13X)]
T g9 g9 = 164.11 C < T 13X+15 = 222.11C .
. T g9 = 222.11 C . g9 g11 9 13
B(T g9T g11) = m0[(1+)(h10h9)+(h13Xh12X)]
m0 = 10.0503kgs
T g7 = 382.24 > 312.55 C , T g11 = 178.90 > 120 C
6
.
.
g4 g5 g6 g7 g8 g9 g10 g11 (C)
657.61 570.34 566.41 382.24 259.95 222.11 212.51 178.90
3: (: / 50C )
E 3 , ,
, , .
, m0 = 10.0503kgs
( #1) 76 bar ( 5% ) 15.2 bar, . , h1 = h0 = 3416.3
kJkg .
505.29 C. , m = 1.3920
kgs ( 1%
) 15.2 bar ( 5% ) 8 , , 0.05 bar.
A . , me2 = 6N = 624 = 144
kgh
= 0.04 kgs .
. , . :
8 ' 15.2 bar
7
mD = m+m+m+V .
, . , . (3.6.2):
V . = 0.3
m3
day
N V . = 0.0000832m3
s.
998 kgm3
( 20C).
,
mD = 0.1987kgs
q = 1400
kJkg
QD=mDq = 278.24kW .
me1 =QD
he1hc1[1]
me1 ,he1 hc1 .
. 2 ( ), 4 ( ), e ( ), 5 ( ), - - . .
,
W AE = m0(h0hp1)+m4(h4h p2) [2]
h p1 , h p2 , , ., h0h p1 h4hp2
8
.
. i1 i2 , (3.3.1) SL1 =
h0 hi1h0 h p1
[3a] SL2 =h4 hi2h4 h p2
[3b] .
. hEL = 0.02[(h0 hi1)+(h4 hi2)] [4].
,
W wHP = m0(h0 h2) [5a]
W wLP = m4(h4 he)+(m4me )(hehw) [5b]
hw .
W sLP =W wLP
1+rML+r RL[6a]
W sHP =W wHP
1+rML+r RL[6b]
rML r RL , .
, rML = 0.035 (3.5%) , ( ).
, h p1 = 2951.8kJkg
h p2 = 2060.1kJkg
. [2], :
W AE = 20219.56.99 PS = 14871.70 kW 9
80% ,
W = 11897.36 kW = 16175.65 PS
9 h4 = h p1
9
. 5 . .. b = 0.8276 . f t = 1.01 . SL = f tb = 0.8358 . Y , SL1 = SL2 = SL . [3a], [3b] hi1 = 3028.05
kJkg
, hi2 = 2218.3kJkg
. A [4]
, hEL = 23.875kJkg .
( , ). 3 bar ( ) e. Mollier, he = 2740
kJkg '
he1 = he2 = 2740kJkg
[1] me1 = 0.1156
kgs
me = 0.1556kgs
( & ).
hw = 2242.2kJkg . [5a], [5b]
W w = 8866.05 kW W w = 3902.19 kW
[6a], [6b]
W s = 8566.23 kWW s = 3770.03 kW
W = 12336.5 kW = 16772.75 PS
' 0.1%. , ( 80%) W = 11897.36 kW = 16175.65 PS W = 12336.5 kW = 16772.75 PS . = 3.69% .
10
, . .
W kW 12376.79
W kW 3786.41 W kW 8590.39
SL - 0.8395
f t - 1.01
E
h0 kJ
kg3416.3
.
hi1 = h2 kJkg
3026.4
E
h3 kJkg
2993.1
h4 kJkg
3022.3
.
hi2 kJkg
2214.6
.
hEL kJkg
23.954
hw = h5 kJkg
2238.5*
he = he1 = he2 kJkg
2735
m0 kg
s10.0503
( ) m kgs
1.5075
( ) m3 kgs
1.3920
11
( 4) m4 kgs
11.4423
me (= me1+me2) kgs
0.1559
me1 kgs
0.1159
me2 kgs
0.04
mc kgs
11.2864
4:
* ( 0.05 bar ) , 0.8667, )
. 0.05 bar ( #6) 1 bar. ( = m7 = mc) , ( = mc1 = me1) , ( = mc2 = me2) .
p = 0.82 . h6 = h ' 0.05 ba r = 137.77
kJkg . H
s6 = s ' 0.05 ba r = 0.4763kJkgK
. 7' 1 bar, h7' = 138.04
kJkg
.
p =h7 ' h6h7 h6
[7].
7 = 138.10kJkg
m8h8 = mc1hc1+m7h7+mc2hc2+mw hw [8]
8 , c1 , c2 w10 o .10 w
5 .
12
: m8 = m0+m = 11.5579kJkg
,
mc1 = me1 = 0.1145kgs, hc1 = h(1 bar ,79.63 C) = 333.346
kJkg
11
m7 = mc = 11.2864kgs
mw = m = 0.01(1+)m0 = 0.1156kgs, hw = h(1 ba r , 20 C ) = 84
kJkg
[8], h8 = 139.35kJkg
. 8 9 7, ' h9 = 139.47
kJkg
T 9 = 33.24 C
50C. 10C, .
, , T 9 = 33.24 C . , , .
bar C KJ/kg Kg/sf1 1.013 -161.6 - 1.5867f2 19 -27.26 - 1.5867a1 1 15 - 64.7780a2 19 462 - 64.7780g3 18.62 1400 - 66.3647g4 1.05 657.61 - 66.3647g5 - 570.34 - 66.3647g6 - 566.41 - 66.3647g7 - 382.24 - 66.3647g8 - 259.95 - 66.3647g9 - 222.11 - 66.3647
g10 - 212.51 - 66.3647g11 - 168.2812 - 66.3647
11 , c1 ( ) 20 C 1 bar
12 2 , .
13
e 3 140.29 2740 0.1556e1 3 140.29 2740 0.1156e2 3 140.29 2740 0.04c1 1 79.63 333.446 0.1156c2 1 79.63 333.446 0.04w 1 20 84 0.1156
bar C KJ/kg Kg/s
0 80 510 3416.3 10.05031 76 505.29 3416.3 10.05032 15.2 294.29 3027.2 10.05033 15.2 280 2993.1 1.39204 15.2 293.46 3023.1 11.44235 0.05 32.88 2240.4* 11.28676 0.05 32.90 137.77 11.28677 1 32.94 138.10 11.28678 1 33.23 139.35 11.55799 2