postupak proračuna sastava produkata pirolize i gasifikacije čvrstog ...
postupak proračuna sastava produkata pirolize i gasifikacije čvrstog ...
postupak proračuna sastava produkata pirolize i gasifikacije čvrstog ...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
POSTUPAK PRORA^UNA SASTAVA PRODUKATA PIROLIZE<br />
I GASIFIKACIJE ^VRSTOG OTPADA<br />
Dr. Slavko \uri}, mr Ranko Bo`i~kovi}, mr Petko Stanojevi}, Vi{a tehni~ka {kola, Doboj<br />
REZIME<br />
U radu je izlo`en model koji omogu}ava odre|ivanje <strong>sastava</strong> heterogene ravnote`ne m e{avine pri<br />
odvijanju hemijske reakcije C+H2O ⇔ CO+H2. Analizira se uticaj temperature <strong>gasifikacije</strong> na sastav<br />
ravnote`ne m e{avine reakcije C+H2O<br />
⇔ CO+H2. Analiza ukazuje da pri temperaturi <strong>gasifikacije</strong><br />
vi{oj od 658,7 °C (931,7 K) u ravnote`noj m e{avini ne postoji ~vrsta faza<br />
(xc ≤ 0).<br />
Klju~ne re~i: hemijska ravnote`a, piroliza, gasifikacija, udio ~vrste faze, temperatura<br />
METHOD OF CALCULATION PRODUCTS CONTENT OF PYROLISIS<br />
AND GASIFICATION OF REFUSE<br />
PhD Slavko \uri}, MSc Ranko Bo`i~kovi}, MSc Petko Stanojevi}, Technical<br />
College, Doboj<br />
SUMMARY<br />
In this work is shown model that provides clear determination of heterogeneous equilibrium mixture<br />
during the chemical reaction C+H 2O ⇔ CO+H 2. The influence of gasification temperature is<br />
analized on equilibrium mixture content reaction C+H 2O ⇔ CO+H 2. Analysis showing that by the<br />
temperature of gasification higher than 658,7 °C (931,7 K) in the equilibrium mixture there is no<br />
firm phase (x c ≤ 0).<br />
Key words: chemical equilibrium, pyrolisis, gasification, firm phase portion, temperature<br />
1. UVOD<br />
Sagorijevanje ~vrstog otpada i uklanjanje gradskog<br />
sme}a predstavlja va`an problem. Razvijen je niz<br />
<strong>postupak</strong>a za sagorijevanje otpada. Procesi <strong>pirolize</strong><br />
i <strong>gasifikacije</strong> ~vrstog otpada omogu}uju dobijanje<br />
kvalitetnog gasovitog goriva. Sastav <strong>produkata</strong><br />
<strong>gasifikacije</strong> ~ini osnovnu veli~inu za postavljanje<br />
jedna~ina materijalnog i toplotnog bilansa. Pri<br />
prora~unu <strong>sastava</strong> ravnote`ne mje{avine <strong>produkata</strong><br />
<strong>gasifikacije</strong> u literaturi se ne uzima udio ~vrste<br />
faze (ugljenika). Kako se udio ~vrste faze u<br />
heterogenoj ravnote`noj mje{avini odre|uje samo<br />
mjerenjem [1, 2] to zna~aj ovog rada jesu razlozi<br />
izrade ovog modela i njegova primjena u<br />
in`injerskoj praksi.<br />
- 97 -<br />
1. INTRODUCTION<br />
Refuse combustion and city trash removal presents<br />
a significant problem. There are many methods for<br />
refuse combustion. Pyrolisis and gasification of<br />
refuse provide getting quality gas fuel. Products<br />
content of gasification is the basic parametre for<br />
setting equations of material and thermo bilance.<br />
By the calculation of products content of<br />
equilibrium mixture of gasification products there is<br />
no firm phase portion (carbon) in the literature.<br />
Firm phase portion in the heterogeneous mixture is<br />
determined by measure [1, 2] so this work is<br />
important for the making of this model and its<br />
implementation in engineering practice.
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
2. PRORA^UN<br />
Pri procesima <strong>gasifikacije</strong> ~vrstog goriva (sme}a)<br />
odvijaju se reakcije [3]:<br />
C+CO 2 ⇔ 2⋅CO, (1)<br />
C+2⋅H 2 ⇔ CH 4, (2)<br />
C+H 2O ⇔ CO+H 2. (3)<br />
Reakcije (1) do (3) ne de{avaju se kontinualno jedna<br />
za drugom. Dolazi do eliminacije jedne reakcije<br />
drugima, ubrzavanja i usporavanja tokova procesa.<br />
Prora~un <strong>sastava</strong> heterogene ravnote`ne mje{avine<br />
reakcije C+CO2 ⇔ 2⋅CO prikazan je u literaturnom<br />
izvoru [4], a prora~un <strong>sastava</strong> heterogene<br />
ravnote`ne me{avine reakcija<br />
C+2⋅H2 ⇔ CH4 i C+H2O ⇔ CO+H2 pod<br />
pretpostavkom da se reakcije odvijaju istovremeno,<br />
prikazan je u literaturnom izvoru [5]. U cilju<br />
detaljnijeg sagledavanja procesa <strong>gasifikacije</strong> ~vrstog<br />
otpada u radu je analiziran uticaj temperature<br />
<strong>gasifikacije</strong> na sastav ravnote`ne heterogene<br />
mje{avine pri odvijanju reakcije C+H2O ⇔ CO+H2. U radu su prikazana dva na~ina prora~una <strong>sastava</strong>:<br />
prora~un na osnovu broja molova i prora~un na<br />
osnovu odnosa zbira broja molova.<br />
2.1. Prora~un na osnovu broja molova<br />
Pri odvijanju reakcije C+H 2O ⇔ CO+H 2 broj<br />
kilomolova komponenata u mje{avini posle<br />
uspostavljanja hemijske ravnote`e iznosi:<br />
- ugljenik nC=a-z, kmol, (4)<br />
- vodena para nH b z,<br />
kmol, (5)<br />
2O<br />
= −<br />
- ugljen-monoksid nCO=z, kmol, (6)<br />
- vodonik nH = z,<br />
kmol, (7)<br />
2<br />
gdje su:<br />
a = C / 12 - broj kilomolova ugljenika koji stupa u<br />
reakciju C+H2O ⇔ CO+H2, kmol,<br />
b = W / 18 - broj kilomolova vodene pare koja stupa<br />
u reakciju C+H2O ⇔ CO+H2, kmol,<br />
C, W - maseni udjeli ugljenika i vlage u ~vrstom<br />
gorivu (otpadu), kg / kg,<br />
z-broj kilomolova ugljen-monoksida (vodonika) u<br />
ravnote`noj mje{avini reakcije C+H2O⇔CO+H2. Pri odvijanju razmatrane reakcije ukupan broj<br />
kilomolova u mje{avini posle uspostavljanja<br />
hemijske ravnote`e je:<br />
- heterogena mje{avina (~vrsta i gasovita faza)<br />
n ( s)<br />
n( s )<br />
= nC<br />
+ nH<br />
,<br />
2O<br />
+ nCO<br />
+ nH<br />
kmol,<br />
2<br />
= ( a − z)<br />
+ ( b − z)<br />
+ z + z = a + b,<br />
kmol, (8)<br />
- 98 -<br />
2. CALCULATION<br />
By the proceses of refuse gasification (trash) there<br />
are following reactions [3]:<br />
C+CO 2 ⇔ 2⋅CO, (1)<br />
C+2⋅H 2 ⇔ CH 4, (2)<br />
C+H 2O ⇔ CO+H 2. (3)<br />
Reactions from (1) to (3) do not occur continously<br />
one after another. There is one by another reaction,<br />
acceleration and slowing down of process.<br />
Calculation of heterogeneous equilibrium mixture<br />
content reaction C+CO2 ⇔ 2⋅CO is shown in the<br />
literary source [4], and calculation of<br />
heterogeneous equilibrium mixture reactions C+2⋅H2 ⇔ CH4 and C+H2O ⇔ CO+H2 assuming that<br />
reactions are simultaneous is shown in the literary<br />
source [5]. For the purpose of detail view of<br />
gasification process of refuse in the work is<br />
analized the influence of gasification temperature<br />
mixture during the reaction C+H2O ⇔ CO+H2. In the work are shown two methods of content<br />
calculation: calculation based on mole number and<br />
calculation based on summary of mole number ratio.<br />
2.1. Calculation based on mole number<br />
During the reaction C+H 2O ⇔ CO+H 2 kilomole<br />
number in the mixture after setting chemical<br />
equilibrium is:<br />
- carbon nC=a-z, kmol, (4)<br />
- water vapour nH b z,<br />
kmol, (5)<br />
2O<br />
= −<br />
- carbon-monoxide nCO=z, kmol, (6)<br />
- hydrogen nH = z,<br />
kmol, (7)<br />
2<br />
there are:<br />
a = C / 12 - kilomole number of carbon in the<br />
reaction C+H2O ⇔ CO+H2, kmol,<br />
b = W / 18 - kilomole number of water vapour in<br />
the reaction C+H2O ⇔ CO+H2, kmol,<br />
C, W - mass portions of carbon and vapour in<br />
fuel (refuse), kg / kg,<br />
z - kilomole number of carbon-monoxide (hydrogen)<br />
in equilibrium mixture reaction C+H2O⇔CO+H2. During the disscused reaction the total number of<br />
kilomoles in the mixture after chemical equilibrium<br />
setting is:<br />
- heterogeneous mixture (firm and gassy phase)<br />
n ( s)<br />
= nC<br />
+ nH<br />
,<br />
2O<br />
+ nCO<br />
+ nH<br />
kmol,<br />
2<br />
n(<br />
s ) = ( a − z)<br />
+ ( b − z)<br />
+ z + z = a + b, kmol, (8)
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
- homogena mje{avina (samo gasovita faza)<br />
n ( g)<br />
= nH<br />
,<br />
2O<br />
+ nCO<br />
+ nH<br />
kmol,<br />
2<br />
n( g ) = ( b − z)<br />
+ z + z = b + z ,kmol. (9)<br />
Molski udio komponenata u mje{avini posle<br />
uspostavljanja hemijske ravnote`e je:<br />
- heterogena mje{avina (~vrsta i gasovita faza)<br />
n a z kmol<br />
x C −<br />
C = = , ,<br />
(10)<br />
n(<br />
s)<br />
a + b kmol<br />
nH2O<br />
b − z kmol<br />
xH<br />
, ,<br />
2O = =<br />
(11)<br />
n(<br />
s)<br />
a + b kmol<br />
n z kmol<br />
x CO<br />
CO = = , ,<br />
(12)<br />
n(<br />
s)<br />
a + b kmol<br />
nH2<br />
z kmol<br />
xH<br />
= = , ,<br />
(13)<br />
2 n(<br />
s)<br />
a + b kmol<br />
- homogena mje{avina (samo gasovita faza)<br />
nH2O<br />
b − z kmol<br />
yH<br />
, ,<br />
2O = =<br />
(14)<br />
n(<br />
g)<br />
b + z kmol<br />
n z kmol<br />
y CO<br />
CO = = , ,<br />
(15)<br />
n(<br />
g)<br />
b + z kmol<br />
nH2<br />
z kmol<br />
yH<br />
= = , .<br />
(16)<br />
2 n(<br />
g)<br />
b + z kmol<br />
Parcijalni pritisci komponenata u homogenoj<br />
(gasovitoj) mje{avini posle uspostavljanja hemijske<br />
ravnote`e su:<br />
b − z<br />
pH y p p,<br />
Pa,<br />
2O=<br />
H2O<br />
⋅ = ⋅<br />
(17)<br />
b + z<br />
z<br />
pCO = yCO<br />
⋅ p = ⋅ p,<br />
Pa,<br />
(18)<br />
b + z<br />
z<br />
pH = y p p,<br />
Pa,<br />
2 H ⋅ = ⋅<br />
(19)<br />
2 b + z<br />
gdje je:<br />
p - ukupan pritisak u reaktorskom prostoru posle<br />
uspostavljanja ravnote`e, Pa.<br />
Konstanta hemijske ravnote`e reakcije C+H 2O ⇔<br />
CO+H 2 definisana je izrazom:<br />
- homogenous mixture (gassy phase, only)<br />
n ( g)<br />
= nH<br />
,<br />
2O<br />
+ nCO<br />
+ nH<br />
kmol,<br />
2<br />
n( g ) = ( b − z)<br />
+ z + z = b + z ,kmol. (9)<br />
Mole portion of the components in the mixture<br />
after chemical equilibrium setting is:<br />
- heterogeneous mixture (firm and gassy phase)<br />
n a z kmol<br />
x C −<br />
C = = , ,<br />
(10)<br />
n(<br />
s)<br />
a + b kmol<br />
nH2O<br />
b − z kmol<br />
xH<br />
, ,<br />
2O = =<br />
(11)<br />
n(<br />
s)<br />
a + b kmol<br />
n z kmol<br />
x CO<br />
CO = = , ,<br />
(12)<br />
n(<br />
s)<br />
a + b kmol<br />
nH2<br />
z<br />
xH<br />
= =<br />
2 n(<br />
s)<br />
a + b<br />
kmol<br />
, , (13)<br />
kmol<br />
- homogenous mixture (gassy phase, only)<br />
nH2O<br />
b − z kmol<br />
yH<br />
, ,<br />
2O = =<br />
(14)<br />
n(<br />
g)<br />
b + z kmol<br />
n z kmol<br />
y CO<br />
CO = = , ,<br />
(15)<br />
n(<br />
g)<br />
b + z kmol<br />
nH2<br />
z kmol<br />
yH<br />
= = , .<br />
(16)<br />
2 n(<br />
g)<br />
b + z kmol<br />
Partial pressures of components in the<br />
homogenous (gassy) mixture after chemical<br />
equilibrium are:<br />
b − z<br />
p H y p p,<br />
Pa,<br />
2O<br />
= H 2O<br />
⋅ = ⋅<br />
(17)<br />
b + z<br />
z<br />
pCO = yCO<br />
⋅ p = ⋅ p,<br />
Pa,<br />
(18)<br />
b + z<br />
z<br />
pH = y p p,<br />
Pa,<br />
2 H ⋅ = ⋅<br />
(19)<br />
2 b + z<br />
there is:<br />
p - total pressure in the reactor space after<br />
chemical equilibrium setting, Pa.<br />
Chemical equilibrium reaction constant C+H 2O ⇔<br />
CO+H 2 is defined by the formula:<br />
z z<br />
p<br />
p p 2<br />
CO ⋅ p ⋅ ⋅ ⋅<br />
H2<br />
z<br />
K<br />
b z b z<br />
p = = + + = p ⋅ , Pa.<br />
(20)<br />
p<br />
b − z<br />
2 2<br />
H2O<br />
⋅ p b − z<br />
b + z<br />
- 99 -
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
Prema literaturnom izvoru [3] konstanta hemijske<br />
ravnote`e reakcije C+H 2O ⇔ CO+H 2 odre|ena je<br />
izrazom:<br />
log<br />
K p<br />
=<br />
According to literary source [3] constant of<br />
chemical equilibrium reaction C+H 2O ⇔ CO+H 2 is<br />
determined by the formula:<br />
4825,<br />
986<br />
−3<br />
−6<br />
2<br />
−28,<br />
45778 − − 5,<br />
671122⋅10<br />
⋅T<br />
+ 0,<br />
8255488⋅10<br />
⋅T<br />
+ 14,<br />
515760⋅<br />
logT<br />
T<br />
Rje{avanjem jedna~ine (20) po nepoznatoj veli~ini z<br />
pri datom a, b, p, K p dobija se:<br />
K p<br />
z = b ⋅ .<br />
(22)<br />
p + K<br />
p<br />
Smjenom izra~unate vrijednosti veli~ine z u<br />
jedna~ine (10) do (16) dobijaju se broj~ane<br />
vrijednosti molskih udjela komponenata u<br />
ravnote`noj heterogenoj odnosno u ravnote`noj<br />
homogenoj (gasovitoj) mje{avini.<br />
2.2. Prora~un na osnovu odnosa zbira<br />
broja molova<br />
U ravnote`noj mje{avini postoje ~etiri komponente<br />
x C , x H O , x CO i x<br />
2<br />
H2<br />
~ije molske udjele treba<br />
odrediti. Jedna~ine materijalnog bilansa za<br />
razmatrane komponente su:<br />
(21)<br />
After solution of equation (20) with unknown<br />
parametre z and parametres a, b, p, K p we have:<br />
K p<br />
z = b ⋅ .<br />
(22)<br />
p + K<br />
p<br />
After parametre z in the equations from (10) to<br />
(16) we get number values of mole portions of<br />
components in the equilibrium heterogeneous that<br />
is in the equilibrium homogenous (gassy) mixture.<br />
2.2 Calculation based on summary of<br />
mole number ratio<br />
There are four components in the equilibrium<br />
mixture xC<br />
, xH<br />
O , xCO<br />
and xH<br />
, their mole portions<br />
2<br />
should be determined. Material balance equations<br />
for the components are:<br />
x C + xH<br />
O + xCO<br />
+ xH<br />
= 1,<br />
(23) xC<br />
+ xH<br />
O + xCO<br />
+ xH<br />
= 1,<br />
(23)<br />
2<br />
ΣC<br />
xC<br />
+ xCO<br />
=<br />
= I,<br />
ΣH<br />
2 xH<br />
x<br />
2O<br />
+ H2<br />
ΣC<br />
xC<br />
+ xCO<br />
=<br />
= J,<br />
ΣO2<br />
0,<br />
5⋅<br />
xH<br />
0,<br />
5 x<br />
2O<br />
+ ⋅ CO<br />
K<br />
p<br />
2<br />
ΣC<br />
xC<br />
+ xCO<br />
(24) =<br />
= I,<br />
ΣH<br />
2 xH<br />
x<br />
2O<br />
+ H2<br />
ΣC<br />
xC<br />
+ xCO<br />
(25) =<br />
= J,<br />
ΣO2<br />
0,<br />
5⋅<br />
xH<br />
0,<br />
5 x<br />
2O<br />
+ ⋅ CO<br />
pCO<br />
⋅ pH<br />
x<br />
2<br />
CO ⋅ xH<br />
p<br />
2<br />
CO ⋅ pH<br />
x<br />
2<br />
CO ⋅ xH<br />
2<br />
= = p ⋅<br />
, (26) K p = = p ⋅<br />
, (26)<br />
p<br />
x ⋅(<br />
1−<br />
x )<br />
p<br />
x ⋅(<br />
1−<br />
x )<br />
H2O<br />
H2O<br />
gdje su:<br />
ΣC, ΣH<br />
2 , ΣO<br />
2 - ukupan broj kilomolova ugljenika,<br />
vodonika i kiseonika koji stupaju u reaktorski<br />
prostor,<br />
a 3 C<br />
I = = ⋅ - pomo}na veli~ina,<br />
b 2 W<br />
a C<br />
J = 2 ⋅ = 3⋅<br />
- pomo}na veli~ina,<br />
b W<br />
C, W - maseni udio ugljenika i vlage u ~vrstom<br />
gorivu (otpadu),kg / kg.<br />
C<br />
- 100 -<br />
2<br />
H2O<br />
2<br />
H2O<br />
2<br />
C<br />
(24)<br />
(25)<br />
there are:<br />
ΣC, ΣH<br />
2 , ΣO<br />
2 - total number of kilomoles of<br />
carbon,hydrogen and oxygen that are in the<br />
reactor space,<br />
a 3 C<br />
I = = ⋅ - aid parametre,<br />
b 2 W<br />
a C<br />
J = 2 ⋅ = 3⋅<br />
- aid parametre,<br />
b W<br />
C, W - mass portion of carbon and vapour in fuel<br />
(refuse),kg / kg.
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
Rje{avanjem sistema od ~etiri jedna~ine sa ~etiri<br />
nepoznate veli~ine x C , x H O , x CO i x H dobija se:<br />
2<br />
2<br />
2<br />
A⋅ x H B x C O,<br />
2O<br />
+ ⋅ H2O+<br />
=<br />
(27)<br />
gdje su:<br />
3. REZULTATI PRORA^UNA<br />
After solution of four system equations with four<br />
unknown parameters xC<br />
, xH<br />
O , xCO<br />
and xH<br />
we get:<br />
2<br />
A⋅ x H B x C O,<br />
2O<br />
+ ⋅ H2O+<br />
= (27)<br />
there are:<br />
2<br />
A = J ⋅(<br />
1+<br />
I)<br />
⋅ ( K p + 2 ⋅ p),<br />
B = −(<br />
1+<br />
I)<br />
⋅(<br />
2⋅I<br />
⋅(<br />
Kp<br />
+ p)<br />
+ J ⋅(<br />
Kp<br />
+ 2⋅<br />
p)<br />
), C = 2 ⋅ p ⋅ I<br />
Prora~un je ura|en sa vrijednostima pritiska<br />
p=1⋅10 5 Pa i <strong>sastava</strong> goriva C=22,13%, H=1,89%,<br />
O=11,61%, N=0,36%, S=0,31%, W=50%,<br />
A=13,70% [6].<br />
Model prora~una <strong>sastava</strong> ravnote`ne mje{avine pri<br />
odvijanju reakcije C+H 2O ⇔ CO+H 2 kori{}en je i<br />
potvr|en u re{avanju prakti~nih in`injerskih<br />
problema (gasifikacija uglja i drvenih otpadaka,<br />
piroliza otpada). Pri porastu reakcione temperature<br />
opada molski udio ugljenika i vodene pare u<br />
ravnote`noj mje{avini (tabela 1).<br />
1 kmol<br />
xH = − x , ,<br />
2 H<br />
1 I 2O<br />
+ kmol<br />
2<br />
2 ⋅ I 2 − 2 ⋅ J − J kmol<br />
xCO = +<br />
⋅ xH<br />
, ,<br />
J ( 1 I)<br />
J<br />
2O<br />
⋅ +<br />
kmol<br />
2<br />
I ⋅ ( J − 2)<br />
2 − 2 ⋅ J − J kmol<br />
xC = −<br />
⋅ xH<br />
, .<br />
J ( 1 I)<br />
J<br />
2O<br />
⋅ +<br />
kmol<br />
3. CALCULATION RESULTS<br />
Calculation is done with pressure values<br />
p=1⋅10 5 Pa and fuel content C=22,13%, H=1,89%,<br />
O=11,61%, N=0,36%, S=0,31%, W=50%,<br />
A=13,70% [6].<br />
Model of calculation of equilibrium mixture content<br />
during the reaction C+H 2O ⇔ CO+H 2 is used and<br />
confirmed by the solution of practical engineering<br />
problems (coal gasification and wood refuse, refuse<br />
pyrolisis). By the higher reaction temperature mole<br />
portion of carbon and water vapour is going down<br />
in the equilibrium mixture (table 1).<br />
Tabela 1. Prora~un ravnote`nog <strong>sastava</strong> heterogene mje{avine pri odvijanju reakcije C+H 2O ⇔ CO+H 2<br />
Table 1. Calculation of equilibrium content of the heterogeneous mixture during the reaction C+H 2O ⇔ CO+H 2<br />
T,K<br />
kmol<br />
x C,<br />
kmol<br />
kmol<br />
xH<br />
O,<br />
2 kmol<br />
kmol<br />
xCO,<br />
kmol<br />
kmol<br />
x H ,<br />
η ,%<br />
2<br />
C η H O,%<br />
kmol<br />
2<br />
350 0,399002 0,600998 0,000000 0,000000 0,00 0,00<br />
400 0,398996 0,600990 0,000007 0,000007 0,00 0,00<br />
450 0,398946 0,600942 0,000056 0,000056 0,01 0,00<br />
500 0,398687 0,600683 0,000315 0,000315 0,08 0,05<br />
550 0,397692 0,599688 0,001310 0,001310 0,33 0,22<br />
600 0,394646 0,596642 0,004356 0,004356 1,09 0,72<br />
650 0,386850 0,588846 0.012152 0.012152 3.04 2.02<br />
700 0,369554 0.571548 0,029449 0,029449 7,38 4,90<br />
750 0,335530 0,537524 0,063473 0,063473 15,91 10,56<br />
800 0,275853 0,477847 0,123150 0,123150 30,86 20,49<br />
850 0,184706 0,386702 0,214296 0,214296 53,71 35,66<br />
900 0,070950 0,272944 0,328053 0,328053 82,22 54,58<br />
931,7 0,000002 0,201998 0,399000 0,399000 100,00 66,39<br />
931,71 -0,000019 0,201976 0,399021 0,399021 100,00 66,39<br />
- 101 -<br />
2<br />
,<br />
2
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
Pri reakcionoj temperaturi vi{oj od 658,7°C (931,7K)<br />
u ravnote`noj mje{avni ne postoji ~vrsta faza (x C≤o)<br />
(tabela1 i slika 1). To prakti~no zna~i da pri<br />
reakcionoj temperaturi vi{oj od 658,7°C u kontaktu<br />
sa vodenom parom izreaguje sav ugljenik (slika 2).<br />
Molski udio,kmol/kmol<br />
0,7<br />
0,6<br />
0,5<br />
0,4<br />
0,3<br />
0,2<br />
0,1<br />
0<br />
450 500 550 600 650 700 750 800 850 900 932<br />
T,K<br />
By the reaction temperature higher than 658,7°C<br />
(931,7K) in the equilibrium mixture there are no<br />
firm phase (x C≤o) (Table 1 and Figure 1). That<br />
means that by the reaction temperature higher than<br />
658,7°C in contact with water vapour all carbon is<br />
reacted (Figure 2).<br />
Slika 1 . Zavisnost molskih udjela komponenata u heterogenoj ravnote`noj mje{avini reakcije C+H2O<br />
⇔<br />
CO+H2 od reakcione temperature<br />
Figure 1. Dependence of mole portions components in the heterogeneous mixture reaction C+H2O ⇔<br />
CO+H2 from reaction temperature<br />
Molski udio,kmol/kmol<br />
100<br />
80<br />
60<br />
40<br />
20<br />
0<br />
450 500 550 600 650 700 750 800 850 900 932<br />
Slika 2. Zavisnost stepena reagovanja ugljenika i vodene pare pri odvijanju reakcije C+H 2O ⇔ CO+H 2 od<br />
reakcione temperature<br />
Figure 2. Dependence of carbon reaction degree and water vapour during the reaction C+H 2O ⇔ CO+H 2<br />
from the reaction temperature<br />
Rezultati prora~una <strong>sastava</strong> homogene mje{avine<br />
(samo gasovita faza) prikazani su u tabeli 2. Pri<br />
porastu reakcione temperature raste molski udeo<br />
ugljen-monoksida i vodonika u homogenoj<br />
mje{avini, dok molski udfeo vodene pare opada<br />
(tabela 2 i slika 3).<br />
T,K<br />
- 102 -<br />
ηC,%<br />
ηH2O ,%<br />
xC<br />
xH2O<br />
xCO<br />
xH2<br />
Calculation results homogenous mixture content<br />
(gassy phase, only) are shown in the table 2. By<br />
the higher mole temperature mole portion of<br />
carbon-monoxide and hydrogen is bigger in the<br />
homogenous mixture, mole portion of water vapour<br />
is going down (Table 2 and Figure 3).
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
Tabela 2. Prora~un ravnote`nog <strong>sastava</strong> homogene (gasovite) mje{avine pri odvijanju reakcije C+H 2O ⇔ CO+H 2<br />
Table 2. Calculation of equilibrium content of homogenous (gassy) mixture during the reaction C+H 2O ⇔<br />
CO+H 2<br />
Molski udio,kmol/kmol<br />
1<br />
0,8<br />
0,6<br />
0,4<br />
0,2<br />
0<br />
kmol<br />
T,K<br />
yH<br />
O,<br />
2 kmol<br />
kmol<br />
yCO,<br />
kmol<br />
kmol<br />
yH<br />
,<br />
2 kmol<br />
350 1,000000 0,000000 0,000000<br />
400 0.999978 0,000011 0,000011<br />
450 0,999812 0,000094 0,000094<br />
500 0,998952 0,000524 0,000524<br />
550 0,995650 0,002175 0,002175<br />
600 0,985609 0,007195 0,007195<br />
650 0,960360 0,019820 0,019820<br />
700 0,906576 0,046712 0,046712<br />
750 0,808952 0,095524 0,095524<br />
800 0,659878 0,170061 0,170061<br />
850 0,474310 0,262845 0,262845<br />
900 0,293789 0,353105 0,353105<br />
931,7 0,201998 0,399001 0,399001<br />
931,71 0,201972 0,399014 0,399014<br />
450 500 550 600 650 700 750 800 850 900 932<br />
T,K<br />
Slika 3. Zavisnost molskih udjela u homogenoj ravnote`noj mje{avini pri odvijanju reakcije C+H2O ⇔<br />
CO+H2 od reakcione temperature<br />
Figure 3 . Dependence of mole portions in the homogenous equilibrium mixture during the reaction C+H2O<br />
⇔ CO+H2 from reaction temperature<br />
4. ZAKLJU^AK<br />
Izlo`eni <strong>postupak</strong> nastao je rje{avanjem prakti~nih<br />
in`injerskih problema kao {to su piroliza i<br />
gasifikacija ~vrstog goriva. Prora~un ukazuje da pri<br />
temperaturi dimnih gasova vi{oj od 658,7°C<br />
(931,7K) u ravnote`noj mje{avini ne postoji ~vrsta<br />
faza (x C≤0). Pokazano je da pri porastu reakcione<br />
temperature opada molski udeo ugljenika i vodene<br />
pare, dok molski udio ostalih komponenata u<br />
mje{avini raste. Rezultati prora~una <strong>sastava</strong><br />
ravnote`ne mje{avine pri odvijanju reakcije C+H 2O<br />
⇔ CO+H 2 u skladu su sa rezultatima mjerenja u<br />
praksi.<br />
- 103 -<br />
4. SUMMARY<br />
yH2O<br />
yCO<br />
yH2<br />
Shown method is made by the solution of the<br />
practical engineering problems such as pyrolisis<br />
and fuel gasification. Calculation showing that by<br />
the temperature of smoke gases higher than<br />
658,7°C (931,7K) in the equilibrium mixture there is<br />
no firm phase (x C≤0). It is shown that by the<br />
increasing of reaction temperature mole portion of<br />
carbon and water vapour is going down, while<br />
mole portion of other components is going up.<br />
Calculation results of contents of equilibrium<br />
mixture during the reaction C+H 2O ⇔ CO+H 2 are<br />
according to the results in practice.
Ma{instvo 2(8), 97 – 104, (2004) S.\uri},...: POSTUPAK PRORA^UNA SASTAVA...<br />
5. LITERATURA - REFERENCES<br />
[1] Bilodeau, J. F., Therien, N., Proulx, P., Czernik,<br />
S., Chornet, E.: A Mathematical Model of<br />
Fluidised Bed Biomass Gasification,<br />
Canadian Journal of Chemical Engineering,<br />
(1993), 71, 8, 549 - 557.<br />
[2] Wang, Y., Kinoshita, C. M.: Kinetic model of<br />
biomass gasification, Solar Energy,(1993), 51,1,1<br />
- 25.<br />
[3] Gumz, W.: Kurzes Handbuch der Brennstoff<br />
und Feuerungstechnik, Springer - Verlag,<br />
Berlin,1962.<br />
- 104 -<br />
[4] Kuburovi},M.: Transactions, Vol. 27 (1998),<br />
No.1, 1-6, Belgrade, Yugoslavia<br />
[5] \uri},S., Kuburovi},M., Jovovi},A.: Transactions,<br />
Vol.30 (2002),No.2, 47-52, Belgrade,Yugoslavia<br />
[6] Kuburovi},M., Mogu}nosti kori{}enja energije i<br />
materija iz ~vrstih otpadaka, magistarski rad,<br />
Ma{inski fakultet, Beograd, 1980.