gogu catalina

7/25/2019 Gogu Catalina

1/24

DATE

Parametrii de frunctionare a cuptorului

-capacitate, t/an-temp mp la intrare in zona de convectie-presiunea mp la intrare in zona deconvectie,bar-raportul abur/mp (la intrare in zona deradiatie)-tensiuni termice,kJ/m^2*h - in ZC:

- in ZR :

-sarcina maxima admisa pe oserpentina,kg/h:

-conversia finala (la iesire din ZR):

Caracteristici Mp (benzina)

-densitatea (relativa)

Fractia "combustibil lichid greu :

-densitatea:

-factorul de carcterizare:

Caracteristici constructive:

-diametrul exterior :

-diametrul interior :

-lungime tub (tronson):

cap 3696 ti c 70 C

pc0 7 bar

rs 0.5

tc 6000

tr 25000

Smax 250

xf 0.8

d420 0.730

d420comb 1.10232

Kwcom b 9.61550

de 88.910 3

di 73.6610 3 m

L u 8 m

bucDurata anuala de functionare cuptor

Timpfunct 840 h

Constanta gazelor ideale: R 8.3145 J

mol k

Fractie masa in gaz cracat f r.masa.g.c 0.27 C2H 4


2/24

Coeficienti pentru curva VE

A

2.9747

1.4459

0.8506

3.2680

8.2873

10.6266

7.9952

C

0.4209

0.1287

0.0817

0.6214

0.9340

1.1025

1.0737

B

0.8466

0.9511

1.0315

0.8274

0.6871

0.6529

0.6949

t

55

74

90

102

114

130

152

T t 273.15( )

T

328.15

347.15

363.15

375.15

387.15

403.15

425.15

K%v

0

10

30

50

70

90

100

Caracteristici MP(benzina)

d420 0.730

SG 0.9952 d420 0.0080 K

SG 0.734556

Curba VE la 1 atm

Tve A TB SGC

tve Tve 273.15

Tve

352.50068

362.394455

362.667278

363.853958

372.745294

380.010837

385.082907

tve

79.35068

89.244455

89.517278

90.703958

99.595294

106.860837

111.932907

C


3/24

Curba VE la p=6.75 bar

pve 6.7

Tf

1393

41 1log pve

3.2041

Tve 1393 Tve 41

0.998

1

1 1log pve

3.2041

Tve 1393 Tve 41

0.998

Tf

429.428698

440.826936

441.140489

442.503855

452.694716

460.990439

466.764847

tf Tf 273.15

tf

156.278698

167.676936

167.990489

169.353855

179.544716

187.840439

193.614847

0 50 10060

90

120

150

160

170

180

190

200

tve tf

%v


4/24

Alegerea numarului de serpentine/circuite in paralel

Capacitate materie prima , in tone de materie prima pe an:

CapMPcap

f r.masa.g.c

tM P

an

CapMP 1.344 105 tM P

an

D M PCapMP 10

3

Timpfunct

k g

h

D M P 1.6 104

k g

h

Ns24000

Smax

Ns 9.6 se rotunjeste superior si la un numar par Ns 10

Gm p D MPN s

Gm p 1600 k g

h

Densitate materie prima :

SG 0.9952d420 0.0080

SG 0.734556

Factor de caracterizare (Watson)

tmVf74 90 102 114 130

5 Temperatura medie volumica

tmVf 102 T mVf tmVf 273.1 TmVf 375.15 K

K w1.8 tmVf 273.15( )[ ]

1

3

SG Kw 11.943572


5/24

Masa moleculara medie:

Mm p 42.9654T m V f 1.26007 SG4.98308 exp 2.09710 4 T m V f 7.78712SG 2.0847610 3 T m V f SG

Mm p 102.013276 k gkm o l

2.1 Dimensionarea sectorului 1 din zona de convectie

In aceasta zona benzina (materia prima ) este in faza lichida .Dimensionarea acestei zone presupune determinarea diametrului interior al

tuburilor , diametrul exterior si lungimea.

Grosimea peretului (tubului) :

gde di ( )

2

g 7.62 10 3 m

Lungimea totala a serpentinei si numarul de coturi:

Determinarea lungimii se face cu ajutorul bilantului termic in zona deconvectie .

-temperatura de intrare a materiei prime in zona de convectie: tc0 70 C-temperatura de iesire a materiei prime din zona de convectie: tc1 156.27 C

Entalpiile la temperatura tc0 si tc1:

htc0 2.964 1.332SG( ) tc0 0.003074 0.001154SG( ) tc02 0.0538K w 0.3544( )

htc0 149.443913 k J

h g

htc1 2.964 1.332SG( ) tc1 0.003074 0.001154SG( ) tc12 0.0538K w 0.3544( )

htc1 363.569775 k J

h g

Lungimea serpentinei

L c1Gm p h tc1 h tc0 ( )

de tc L c1 20.444958 m


6/24

Numarul de coturi :

n c1 2

Lungimea echivalenta:

L ech 1 L c1 n c1 di 7

L ech1 31.493958 m

Coeficientul de frecare:

k este coeficientul de rugozitate k 5 m

0.01k

di

0.314

0.037598

Densitatea medie:

c0 d420 1000tc0 20

2.29 6.34d420 5.965d4202

c0 686.575974 k g

m3

k g

m3

c1 d420 1000

tc1 20

2.29 6.34d420 5.965d4202

c1 611.644343

mc1c0 c1

2 mc1 649.110158

k g

m3

wc0Gm p

c0 d i2

4

wc0 546.862408 m

h

Viteza medie de curgere:

wtc0wc0

3600 wtc0 0.151906

m

s

wc1Gm p

c1 d i2

4

wc1 613.857702 m

h


7/24

wtc1wc1

3600 wtc1 0.170516 m

s

wmc1wtc0 wtc1

2 wmc1 0.161211

m

s

Caderea de presiune pe sectorul 1 in ZC

p1 L ech1

di

mc1 wmc12

2 p1 135.593786 Pa

pc1 p1 10 5 pc1 1.355938 10 3 bar

Vascozitatea cinematica:

x v exp 4.717 0.0029254 SG Kw( )3 xv 806.283049

c0101.766

SG Kw( )0.52529.263

10 6

K w

x ve

x v

tc 0 273 c0 5.096527 10 7

m2

s

c1101.766

SG Kw( )0.52529.263

10 6

K w

x ve

x v

tc 1 273 c1 3.177536 10 7 m

2

s

mc1 c0 c1

2 m c1 4.137032 10 7 m

2

s

Vascozitatea dinamica :

c0 c0c0

c0 3.499153 10 4 k g

m s


8/24

c1 c1c1

c1 1.943522 10 4 k g

m s

Am calculat Reynolds pe fiecare

sector(mi-a spus Corina)mc1

c0 c1

2

kg

m s Re0

wtc0c0 di

c0

mc1 2.721337 10 4 Re0 2.195498 104

Re1

wtc1c1 di

c1

Re1 3.952815 104

Reynolds

Rem s1

Re0 Re1 2

Re

wmc1mc1 di

mc1

Rems1 3.074156 104

Re 2.832453 10

4

Presiunea de iesire din sectorul 1 in ZC

pc1 pc0 pc1

pc1 6.998644 bar

Presiunea medie pe sectorul 1

Pm 1

pc0 pc1 ( )

2

Pm 1 6.999322 bar

Temperatura medie pe sectorul 1 in ZC

T m1tc0 tc1

2

T m1 113.1395 C


tc2 193.61 C

Htc2 532.17 210.61SG 1.8213 0.45638SG( ) tc2 0.0023447 0.00059037SG( ) tc22 4.187tc2 837( ) 0.07 K w 0.84( )

Htc2 736.932051 K J

kg


9/24

Lungimea serpentinei 2

L c2G mp H tc2 h tc1 ( )

de tc L c2 35.649015 m

Numarul de coturi :

nc2 5 coturi


L ech 2 L c2 n c2 di 7 L ech2 63.271515 m

Caderea de presiune pe sectorul 2 :

dpc2 1 1 05

Given

dpc2 Gm p

2L ech2

36002 2 di5

c1100 Mm p pc1 10 5 dpc2

R t c2 273.15( )

1

c1

R t c2 273.15( )

100 Mm p pc1 10 5 dpc2

2

pc2 F in d dpc2 ( ) 10 5

pc2 0.499837


pc2 pc1 pc2 pc2 6.498807 bar

Densitatea medie:

k g

m3

c2

100 pc2 Mm p

R 273.15 tc2( ) c2 17.082656

mc2c1 c2

2 mc2 314.3635

k g

m3


wtc2Gm p

3600c2 d i2

4


10/24

wtc2 6.105325 m

h

wmc2wtc1 wtc2

2

wmc2 3.13792 m

s


c2 0.0092696 0.001383 5.97121010 5 M m p

1

2

273.15 tc2( )

1

2 1.124910 5 M m p

c2 8.727447 10 3 tc2 c2 10 3 tc2 8.727447 10 6

mc2 c1 c2

2 m c2 4.4609 10 3 kg

m s

Reynolds

Rewmc2mc2 di

mc2

Re 1.628858 104

Reynolds :

Re2

wtc2c2 di

tc2 Re2 8.802553 10

5

Rem s2

Re1 Re2 2

Rems2 4.598917 10

5


pc2 pc1 pc2 pc2 6.498807 bar


Pm 2pc1 pc2 ( )

2 Pm 2 6.748726 bar


T m2tc1 tc2

2 T m2 174.947 C


11/24


In aceasta zona benzina (materia prima ) este in faza vapori .

tc3 60 C

tc2 532.17 210.61SG 1.8213 0.45638SG( ) tc2 0.0023447 0.00059037SG( ) tc22 4.187tc2 837( ) 0.07 K w 0.84( )

Htc2 736.932051 k J

k g

tc3 532.17 210.61SG 1.8213 0.45638SG( ) tc3 0.0023447 0.00059037SG( ) tc32

4.187tc3 837( ) 0.07 K w 0.84( ) Htc3 1.950461 10

3 k J

k g

Lungimea serpentinei

L c3Gm p H tc3 H tc2 ( )

de tc L c3 115.868964 m

Numarul de coturi :

n c3 1 coturi


L ech 3 L c3 n c3 di 7 L ech3 198.736464


dpc3 1 105

Give

dpc3 R Gm p2 L ech3

100 36002 2 di5 Mm p

pc2

273.15 tc2

pc2 10 5

dpc3

273.15 tc3

273.15 tc2

pc2

273.15 tc3

pc2 10 5

dpc3

2


12/24

pc3 F in d dpc3 ( ) 10 5 pc3 0.5577 bar


pc3 pc2 pc3 pc3 5.941107 bar


Pm 3pc2 pc3 ( )

2 Pm 3 6.219957 bar


T m3tc2 tc3

2

T m3 396.8075

Densitatea medie:

k g

m3

c2

100 pc2 Mm p

R 273.15 tc2( ) c2 17.082656

c3

100 pc3 Mm p

R 273.15 tc3( ) c3 8.34831 k g

m3

k g

m3

mc3

c2 c3

2 mc3 12.715483


wc2Gm p

c2 d i2

4

wc2 2.197917 104 m

h

wtc2wc2

3600 wtc2 6.105325

m

s

wc34 Gm p

3600c3 di2 wc3 12.492967

m

h

wtc3 wc3 wtc3 12.492967 m

s


13/24

wmc3wtc2 wtc3

2 wmc3 9.299146

m

s


c2 0.0092696 0.001383 5.97121010 5 Mm p

1

2

273.15 tc2( )

1

2 1.124910 5 M m p

c2 8.727447 10 3 tc2 c2 10 3 tc2 8.727447 10 6 kg

m s

c3 0.0092696 0.001383 5.97121010 5 Mm p

1

2

273.15 tc3( )

1

2 1.124910 5 M m p

c3 0.014923 cP tc3 c3 10 3 tc3 1.492324 10 5

kg

m s

mc3tc2 tc3

2 m c3 1.182535 10 5

k g

m s

Reynolds Re3c 6.97 105

Re3 wmc3mc3 dimc3

Re3 7.365357 10

5

Reynolds :

Re3

wtc3c3 di

tc3

Re3 5.14793 105

Rems3

Re2 Re3 2

Rems3 6.975242 105


14/24

Cap3 Compozitie gaz cracat si entalpia acestuia in functie de

conversia x si temperatura T

SGcomb 0.9952d420comb 0.0080

SGcom b 1.105097

tmM ef 10

Give

Kwcomb1.8 tmM ef 273.15( )[ ]

1

3

SGcomb

t mM ef F i n d t mM ef ( ) tmM ef 393.417455 C

T m Mef t mM ef 273.1 K TmMef 666.567455

Mcomb 42.9654TmMef 1.26007 SGcom b4.98308 exp 2.09710 4 TmMef 7.78712SGcom b 2.0847610 3 TmMef SGcom b

Mcomb 249.999546 k g

km o l

Masa molara fara abur

M g u x ( )1

0.0248769874x 0.0098026456

g

m ol

Masa molara cu aburg

m ol

Mg x( )1 rs

0.0248769874x 0.040332759


15/24

Cap4 Calculul serpentinei in zona de reactie

Calculul serpentinei in zona de reactie se face prin discretizare; (discretizare -simplificare pe intervale)

4.1 Calculul sectorului 1 din zona de radiatieAici are loc reactia de cracare termina - piroliza

tr 0 600 C tr 1 736.8 CC

T r0 tr0 273.1 T r1 273.15 tr 1

T r0 873.15 K

T r1 1.01 103

K

pr0 pc3 5.941107 bar pr1

x1 0.11436 x0 0

Principiul de calculPresupunem tr1 si x1 la iesire din sectorul 1.Prin bilant termic determinamlungimea serpentinei.Calculam caderea de presiune, timpul de stationare (timpul de reactie) si in finalcu ajutorul ecuatiei cinetice verificam conversia presupusa.

Intrari : Hsp0 si QfurR1

Entalpia specifica:

0 1031.9472 1033.6167x 0 0.42552368 0.14655111x0( ) T r0 1.9110402 0.19126293x 0( ) 10 3 T r02 0.3733196810 6 x 0 T r

Hsp0 796.558502 k J

KgMp alim

H h cr 0 G mp H sp0

k j

h

Hhcr0 1.274494 106 Entalpia gazului cracat la conversie x0

Iesiri

1031.9472 1033.6167x 1 0.42552368 0.14655111x1( ) T r1 1.9110402 0.19126293x 1( ) 10 3 T r12 0.3733196810 6 x 1 T r

Hsp1 1.460749 103

k J

KgMp alim

H h cr 1 G mp H sp1 Hhcr1 2.337199 106

I1 1.909490T r1 T r0 ( ) 0.0174227110 3 T r12 T r02 0.103761910 6 T r13 T r03


16/24

I1 303.637295 k J

k g

Q s1 Gm p r s I1

Qs1 2.672008 105

Q fu rR1 H h cr 1 H h cr 0 Qs1

QfurR1 1.329906 106

n R1 2 cot

L R1QfurR1

de tr

L R1 19.047122 m

L ech R1 L R1 n R1 75 d L echR1 30.096122 m

dpR1 1 1 05

Given

1 R L echR1 Gm p2

1 rs( )2

3600

2 2 di5 p r0 M g x 0 ( ) 100

T r0

pr0 105

dpR1 Mg x 1 ( )T r11000 T r0

pr0 100 M g x 0 ( )T r11000

pr0 105 dpR1 M g x 1 ( )

p F in d dpR1 ( )

p 8.011124 104

pR1 p

pr1 pr0 pR1 10 5 pr1 5.139995 bar

pr1mpr0 pr1

2 pr1m 5.540551 bar

Densitatea gaz cracat sector 1 din ZR

r0p r 0 M g x 0 ( ) 100

R Tr0 r0 3.144964

k g

m3


17/24

r1p r 1 M g x 1 ( ) 100

R Tr1 r1 2.197227

k g

m3

r1m r0 r12

r1m 2.671095 k g

m3

wr0 Gm p 1 rs( )

r 0 di2

4

1

3600 wr0 51.402027

m

s

wr1 Gm p 1 r s( )

r 1 di2 4

1

3600

wr1 73.573421 m

s

wr1mwr0 wr1

2 wr1m 62.487724 m

s

1L R1

wr1m 1 0.304814 TIMP DE SEDERE

T m r 1 T r0 T r1

2 Tmr1 941.575 C

k1 1011.25

exp210000

R T m r 1

k1 0.398449 s 1

xverf 1 1 exp k 1 1( ) xverf1 0.114367

4.2 Calculul sectorului 2 din zona de radiatie

tr 1 736.8 C tr 2 786.8 C

T r1 273.15 tr 1 T r2 273.15 tr


18/24

T r1 1.01 103 K T r2 1.06 103 K

x2 0.45897 pr1 5.139995 bar pr2

x1 0.11436 x2 x1 x2 x2 0.57334

I2 1.909490T r2 T r1 ( ) 0.0174227110 3 T r22 T r12 0.103761910 6 T r23 T r13

I2 113.953844 k J

k g

Intrare : Hsp1 si QfurR2

Hsp1 1.460749 103

k J

KgMp alim

Iesire :

2 1031.9472 1033.6167x 2 0.42552368 0.14655111x2( ) T r2 1.9110402 0.19126293x 2( ) 10 3 T r22 0.3733196810 6 x 2 T r

H sp2 2.11632 103

k J

KgMp alim

Qabur 2 Gm p r s I2

Qabur2 1.002794 105

kJ

h

Bilant termic

Qfu r R2 Gmp Hsp2 Qabur2 Gmp Hsp1 QfurR2 1.149192 106 k J

h

Lungimea pe sectorul 2 din ZR

L R2QfurR2

de tr L R2 16.458912 m

ncR2 2

L ech R2 L R2 n cR2 75 d L echR2 27.507912

Masa molara cu abur la conversia x2

M g x 2 ( ) 28.3904979657725899


19/24

Caderea de presiune pe sectorul 2:

dpR2 1000

Give

2 R L echR2 Gm p2 1 rs( )2

36002 2 di5

p r1 M g x 1 ( ) 100

T r1

pr1 105 dpR2 Mg x 2 ( )

T r21000

T r1

pr1 100 M g x 1 ( )

T r21000

pr1 105 dpR2 M g x 2 ( )

p2 F in d dpR2 ( ) p2 1.239569 105

pR2 p2 10 5

pr2 pr1 pR2 pr2 3.900425 bar

pr2mpr1 pr2

2 pr2m 4.52021 bar

Densitatea sector 2 din ZRk g

m3

r1

pr1 M g x 1 ( ) 100

R Tr1 r1 2.197227

k g

m3

r2pr2 M g x 2 ( ) 100

R Tr2 r2 1.256442

r2mr1 r2

2 r2m 1.726834

k g

m3

wr1 Gm p 1 r s( )

r 1 di2

4

1

3600 wr1 73.573421

m

s

wr2 Gm p 1 rs( )

r2 di2

4

1

3600 wr2 128.662926

m

s

wr2mwr1 wr2

2 wr2m 101.118174 m

s


20/24

2L R2

wr2m 2 0.162769

Tm r2T r1 T r2

2 T m r 2 1.035 103

k2 1011.25

exp210000

R T m r 2

k2 4.486778 s 1

x2 1 x1( ) 1 exp k 2 2( )( ) x2 0.45897

x 2ver if x 1 x2 x2verif 0.573338 x2 0.57334

4.3 Calculul sectorului 3 din zona de radiatie

tr 2 786.8 C tr 3 849.4 CT r3 273.15 tr 3

T r2 273.15 tr

T r2 1.06 103 K T r3 1.123 103 K

pr2 3.900425 bar pr3

x2 0.5733 x3 0.8

I3 1.909490T r3 T r2 ( ) 0.0174227110 3 T r32 T r22 0.103761910 6 T r33 T r23

I3 145.174884 k J

k g

Qabur 3 Gm p r s I3

Qabur3 1.277539 105

kJ

h

H sp2 2.11632 103

k J

KgMp alim

3 1031.9472 1033.6167x 3 0.42552368 0.14655111x3( ) T r3 1.9110402 0.19126293x 3( ) 10 3 T r32 0.3733196810 6 x 3 T r

Hsp3 2.637656 103

k J

KgMp alim


21/24

Bilant termic

Qfu r R3 Gmp Hsp3 Qabur3 Gmp Hsp2

QfurR3 9.618918 105 k J

h

Lungimea pe sectorul 3 din ZR

L R3QfurR3

de tr

L R3 13.776363 m

ncR3 2

L ech R3 L R3 n cR3 75 d

L echR3 24.825363

pr2 3.900425


dpR3pr1 10

5

2

Give

3 R L echR3 Gm p2 1 rs( )2

36002 2 di5

p r2 M g x 2 ( ) 100

T r2

pr2 105 dpR3 Mg x 3 ( )T r31000

T r2

pr2 100 M g x 2 ( )T r31000

pr2 105 dpR3 M g x 3 ( )

dpR3 0 d pR 3 p r2 105

p3 M i n err dpR3 ( )

pR3 160764.09 Pa

pr3 pr2 pR3 10 5 pr3 2.292784 bar

pr3mpr2 pr3

2 pr3m 3.096605 bar

Densitatea gaz cracat sector 3 din ZR

r2p r 2 M g x 2 ( ) 100

R Tr2 r2 1.256442

k g

m3


22/24

r3

p r 3 M g x 3 ( ) 100

R Tr3 r3 0.616809

k g

m3

r3mr2 r3

2 r3m 0.936625

k g

m

3

wr2 128.662926 m

s

wr3 Gm p 1 rs( )

r3 di2

4

1

3600 wr3 262.08692

m

s

wr3m

wr2 wr3

2 wr3m 195.374923

m

s

T m r 3 T r2 T r3

2 T m r 3 1.09131 103

3L R3

wr3m 3 0.070512

k3 1011.25

exp210000

R T m r 3

k3 15.804445 s 1 constanta de viteza

x2 0.57334

x 3 1 x2( ) 1 e k3 3 x3 0.286669

x 3ver if x 2 x3 x3verif 0.860009

Verificare MACH

1.0 Coef adiabatic

V s R T r3

M g x 3 ( ) 10 3

Vs 624.742416 m

s

Mawr3

Vs Ma 0.419512


23/24

xT

0

x 1

x 2

x 3

0

0.114368

0.57334

0.86

L R

0

L R1

L R2 L R1

L R3 L R2 L R1 ( )

0

19.047122

35.506033

49.282396

0 10 20 30 40 50550

610

670

730

790

850

0

0.2

0.4

0.6

0.8

1

tR xT

LR

tR

T r0

T r1

T r2

T r3

273.15

600

736.85

786.85

849.47


24/24

Compozitie efluent (gaz cracat "uscat" la iesire din ZR)

gf i

0.012

0.072

0.004

0.275

0.04

0.139

0.036

0.087

0.066

0.049

0.14

0.08

M i

2.016

16.043

26.038

28.054

30.070

42.081

44.097

53.084

56.108

58.123

M m p

250

n figf i

M i

gfi

1

xf 0.86

gigf i

x f

n fi

0

0

1

2

3

4

5

6

7

8

9

10

11

-35.95238110

-34.48793910

-41.53621610

-39.80252410

-31.33022910

-33.30315310

-48.16382110

-31.63891210

-31.17630310

-48.43039810

-31.3723710

-43.210

gi

0

0

1

2

3

4

5

6

7

8

9

10

11

0.013953

0.083721

-34.65116310

0.319767

0.046512

0.161628

0.04186

0.101163

0.076744

0.056977

0.162791

0.093023

n spigi

M i

0.55

18.1020.030383

gi

1.162791

n spi

0

0

1

2

3

4

5

6

7

8

9

10

-36.92137310

-35.21853310

-41.78629810

0.011398

-31.54677810

-33.84087610

-49.49281510

-31.90571210

-31.36779410

-49.80278810

-31.5957810

n spi 0.036275

0.036275 3.7209310 4 0.035903

gogu catalina

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