16
 J. of Nuclear Sci. and Tech.  52 22 - 7 1389   No. 52, pp. 7-2 2, 2010 1  * 2  1  1 -      : 775 - 14155 -  2 -      : 73441 - 81746   :  ) 2 (UO  (AUC)     .                  ﮔ .       ﮔ .          ﮔ .  :  Mathematical Modeling and Performance Analysis of a Rotary Reactor Used for UO 2 Production J. Moshayyedi 1 , A. Rahimi* 2 , G.R. Jahanfarnia 1 1- Nuclear Engineering Department, Science and Research Branch, Islamic Azad University, P.O. Box: 14155-775 , Tehran - Iran 1- Chemical Engineering Department, Faculty of Engineering, University of Isfahan, P.O. Box: 81746-73441, Isfahan - Iran Abstract: In the present study the rotary reactor used for producing UO 2 from AUC is modeled. For this purpose, the governing equations, including mass and energy balance equations for the existing species and phases are derived based on the conservation laws and then they were solved numerically. All other required parameters for solving the governing equations, including the geometrical characteristics of the solid bed, hydrodynamic conditions of the bed and reactor, thermo-physical  properties of gaseous and solid species and existing reactions were obtained from the literature and were used. Individual reaction kinetics, presented in the literature for the reactions which are taking place in this reactor, shows many shortages for condition in which all the reactions are taking into account simultaneously. Thus, for the first time, a new kinetics model is proposed and is applied successfuly. The results of using the model are in good agreement with the logical and expected behavior which can be obtained based on the principles of chemical engineering science.   Keywords: UO  2  , AUC, Rotary Reactor, Modeling, Kinetics Model : 22 / 10 / 88     : 11 / 4 / 89  [email protected] *email:  

The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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 J. of Nuclear Sci. and Tech. 

5222-71389  No. 52, pp. 7-22, 2010

1 *2 1 

 -14155-775: پ  گ  -1

 گ -2  81746-73441: پ  

 UO (AUC))2( :چ 

پ  .  گ   گ   گ

پ  گ     گ   گ 

 .  گ 

  گ 

 .  گ 

  پ    گ   گ 

.

 

:  

Mathematical Modeling and Performance Analysis of a Rotary ReactorUsed for UO2 Production

J. Moshayyedi1, A. Rahimi*2, G.R. Jahanfarnia1 

1- Nuclear Engineering Department, Science and Research Branch, Islamic Azad University, P.O. Box: 14155-775, Tehran - Iran

1- Chemical Engineering Department, Faculty of Engineering, University of Isfahan, P.O. Box: 81746-73441, Isfahan - Iran

Abstract: In the present study the rotary reactor used for producing UO2 from AUC is modeled. For 

this purpose, the governing equations, including mass and energy balance equations for the existingspecies and phases are derived based on the conservation laws and then they were solved numerically.All other required parameters for solving the governing equations, including the geometricalcharacteristics of the solid bed, hydrodynamic conditions of the bed and reactor, thermo-physical

 properties of gaseous and solid species and existing reactions were obtained from the literature and wereused. Individual reaction kinetics, presented in the literature for the reactions which are taking place in

this reactor, shows many shortages for condition in which all the reactions are taking into accountsimultaneously. Thus, for the first time, a new kinetics model is proposed and is applied successfuly. Theresults of using the model are in good agreement with the logical and expected behavior which can beobtained based on the principles of chemical engineering science. 

 Keywords: UO 2 , AUC, Rotary Reactor, Modeling, Kinetics Model 

:[email protected] *email 11/4/89:  پ  22/10/88:

 

7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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.   پ 

  گ  

 . پ  -5

 پ 

AUC گ

 

100 [kg/h]

 101525 [Pa]

 1140 [K]

 300 [K]

  [K] 300  گ 

 6 [m]

 417/

0 [m]

 2 [deg]

 3 [rpm]

   گ

 

0136/0 /s]3

m[ 

86/0 ...

 

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 521389 

5 - 1     گ 

-7 18 F1 F12 .

- 18H)

( .

:

:

0YYY,1Y UO2U3O8UO3AUC ==== 

0nnnn CO2H2 NH3H2OCO2 ==== 

:

 گ  گ - AUC 

  گ 

.

 گ-    چ - گ 

6- 

 .  گ 

6 - 1 

 گ   

67 8 .

  گ   گ    گ   پ 

K 400 AUC .

 3UO2CO 3 NH .

  K 780  گ 

 3 NH 2H . 

.  پ 

 6 8O3U 2UO 2UO

 3UO

 . 

6- . 

7-   .  گ 

8-   .  گ 

   T  e  m  p  e  r  a   t  u  r  e   D   i  s   t  r   i   b  u   t   i  o  n   (   K

   )

Reactor Length (m)

   G  a  s   M  o   l  a  r   F  r  a  c   t   i  o  n

Reactor Length (m)

   S  o   l   i   d   Y   i  e   l   d

Reactor Length (m)

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 . . . 

چ  ]17[ پ 

 ]16[ 8O3U 2UO

 3UO 8O3U

 8O3U2UO

 3UO 2UO   گ  . چ  

چ   

  پ    گ 

 گ  

چ   ) (

  گ  گ  

.

    پ 

6 - 2      گ 

  گ  7

K 400 AUC  گ 

 . NH2CO 3 گ 

7   گ   گ 

 گ   پ   گ  

  گ     پ 

K 780 

 گ  

.

  پ  

. .

 62UO 

3 NH 

 چ 

 2CO  گ 

AUC  پ  

 پ    گ  

  پ 

  پ 

AUC 

 گ     .  گ 

 پ   

 پ  . 

6 - 3  

K 400 . 

AUC 3  گ NH2CO  گ .

    پ   گ 

.   AUC  پ 

 چ   گ  گ    گ

  گ 

.    پ 

 .  گ 

K 600 

چ . 

K 600  گ  

K 780 . 

.

  گ     گ   گ 

. 8O3U 

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 521389 

  گ چ   گ  .

 .

  گ چ  

  گ  گ    .  گ   گ 

.

    گ    گ   پ    .  گ 

6 - 4      گ   گ  8   گ  چ 

 

K 400)

AUC( . 

NH 3  گ 

2CO   .  گ  چ  گ   گ    

گ    گ  چ 

AUC   گ   

 .  گ 

K 780    پ گ  .   گ

 گ .  گ   

 2H پ 

  گ 

  گ   گ    گ  گ 

 .   پ   گ    گ 

  گ   گ .   چ 

  گ )9 10(. 

9- . 

 .  گ -10

  گ -7

 .  گ 

پ    گ

 .  گ 

  گ 

  پ   گ  

)UCF( .  چ 

   T  e  m  p  e  r  a   t  u  r  e   D   i  s   t  r   i   b  u   t   i  o  n   (   K   )

Reactor Length (m)

   T  e  m  p  e  r  a   t  u  r  e   D   i  s

   t  r   i   b  u   t   i  o  n   (   K   )

Reactor Length (m)

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 . . . 

 گ   

پ   گ  . 

A  گ  ]2

[m 

As  [  گ m

m[

2

 

Awc 

]m

m[

2

 

Awu  گ  

]

m

m[

2

 

3C NH 3 NH  گ  ]m

mol[

CPs  [  گ K .kg

J[ 

CPg گ   [  گ K .kg

J[ 

dwi [m] 

E ]mol

J[ 

Er  

F0 ]2

[m 

f  

g  [  گ s

m[

h ]K .s.m

J[

H [m]

K  s

L [m]

θ 

ω ]s

rad[ 

Bε gr 

A

ρρ

−1

o

mگ   ]s

kg[ 

 N [rpm] 

 Nc (rpm) 

o

n گ   ]s

mol[ 

R  [m] 

r  ]s.m

mol[

S bed ]2

[m 

T [K]

u bed ]s

m[ 

v ]3

[m 

o

v   گ  ]s

m[

3

 

α   گ   [rad] 

β [rad]

cwa 

rwg  گ  

OH2ε 

2COε 2CO 

sε 

wε 

gε گ  

τ [s]

aρ  [ گچ m

kg[

gar ρ  [ گچ mkg[

A*ρ  [A گچ 

m

mol[

σ ]s.K .m

J[

42 

8-10×669/5 

φ  [  گ s.m

J[ 

o

THΔ  [  گ mol

J[ 

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 521389 

  گ 

Fr  

cwg 

 گ  

cgs گ  

cws 

rgs گ  

rws 

rwa 

elect    گ 

g گ  

cr  

t.d AUS

Red 1 3UO 8O3U 

Red 2 8O3U 2UO

 

zΔ zΔ 

 :پ 

1- Rotary Kiln

2- Slipping

3- Slumping

4- Rolling

5- Cascading

6- Cataracting

- Centrifuging

- Filling Degree

- Filling Angle

References:

1.  J.D. Sullivan, C.G. Maier, O.C. Ralston,“Passage of solid particles through rotarycylindrical kilns,” US Bureau of Mines,Technical Papers 384, 1-42 (1927).

2.  W.C. Saeman, “Passage of solids throughrotary kilns,” Chem. Eng. Prog, 47, 508-514(1951).

3.  E.F. Lebas, F. Hanrot, D. Ablitzer, J.L.Houzelot, “Experimental study of residencetime, particle movement and bed depth profilein rotary kilns,” Can. J. Chem. Eng, 73, 173-179 (1995).

4.  M.D. Heydenrych, P. Gree, A.B.M. Heesink,G.F. Versteeg, “Mass transfer in rolling rotary

kilns: a novel approach,” Chem. Eng. Sci, 57,3851–3859 (2002).

5.  L. Yang and B. Farouk, J & AWM A, 47, 1189-96 (1997).

6.  H. Kramers and P. Crookewit, “The passage of granular solids through inclined rotary kilns,”Chem. Eng. Sci, 1, 259 (1952).

7.  H. Heinen, J.K. Brimacombe, A.P. Watkinson,“Experimental study of transverse bed motion

in rotary kilns,” Metall. Trans, 14B, 191-205(1983).

8.  A. Sass, “Simulation of the heat transfer  phenomena in a rotary kiln,” P.D & D, 6(4),532-535 (1967).

9.  F. Marias, H. Roustanb, Pichat, “A. Modellingof a rotary kiln for the pyrolysis of Aluminiumwaste,” Chem. Eng. Sci, 60, 4609-4622 (2005).

10. Ortiz, Su´arez, Nelson, “Dynamic simulation of a pilot rotary kiln for charcoal activation,”

Comput. Chem. Eng, 29, 1837–1848 (2005).

11. F. Patisson, E. Lebas, F. Hanrot, D. Ablitzer,J.L. Houzelot, “Coal pyrolysis in a rotary kiln:Part II. Overall Model Of The Furnace,”MMTB, 31B, 391-402 (2000).

12. F. Marias, “A model of a rotary kiln incinerator including processes occurring within the solidand the gaseous phases,” Comput. Chem. Eng,27, 813-825 (2003).

13. G.M. Miller, “Agglomeration drum selectionand design process,” Agglo. P. A. (2005).

7/31/2019 The Atomic Energy Organization of Iran (AEOI) A-10-1-34-6ad2edd

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 . . . 

14. V. Ramakrishnan, P.S.T. Sia, “Mathematicalmodeling of pneumatic char injection in a directreduction rotary kiln,” MMTB, 30B, 969-977(1999).

15. Ge. Qingren, K. Shifang, K, “Study of AUC

thermal decomposition kinetics in nitrogen by anon-isothermal method,” Thermochimica Acta,116, 71-77 (1987).

16. B. Dussoubs, J. Jourde, F. Patisson, J.L.Houzelot, D. Ablitzer, “Modeling of a moving

 bed furnace for the production of uraniumtetrafluoride, Part 1: formulation of the model,”Chem. Eng. Sci, 58, 2617-2627 (2003).

17. L.A.H. Page, A.G. Fane, “The kinetics of hydrogen reduction of UO3 and U3O8 drivedfrom ammonium diuranate,” Inorg. Nucl.Chem, 36, 87-92 (1974).