Journal of Nuclear Science, Engineering and Technology (JONSAT)
In cooperation with the Iranian Nuclear Society

Mathematical Modeling and Performance Analysis of a Rotary Reactor Used for UO2 Production

Document Type : Research Paper

Authors

J Moshayyedi
A Rahimi
G.R Jahanfarnia
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 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. 

Highlights

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

 

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

 

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

 

  1. 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).

 

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

 

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

 

  1. 7.    H. Heinen, J.K. Brimacombe, A.P. Watkinson, “Experimental study of transverse bed motion in rotary kilns,” Metall. Trans, 14B, 191-205 (1983).

 

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

 

  1. 9.    F. Marias, H. Roustanb, Pichat, “A. Modelling of a rotary kiln for the pyrolysis of Aluminium waste,” 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 solid and the gaseous phases,” Comput. Chem. Eng, 27, 813-825 (2003).

 

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

 

 

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

 

15. Ge. Qingren, K. Shifang, K, “Study of AUC thermal decomposition kinetics in nitrogen by a non-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 uranium tetrafluoride, 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 drived from ammonium diuranate,” Inorg. Nucl. Chem, 36, 87-92 (1974).

 

 

Keywords

UO2
AUC
Rotary Reactor
Modeling
Kinetics Model
  1. 1.    J.D. Sullivan, C.G. Maier, O.C. Ralston, “Passage of solid particles through rotary cylindrical kilns,” US Bureau of Mines, Technical Papers 384, 1-42 (1927).

 

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

 

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

 

  1. 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).

 

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

 

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

 

  1. 7.    H. Heinen, J.K. Brimacombe, A.P. Watkinson, “Experimental study of transverse bed motion in rotary kilns,” Metall. Trans, 14B, 191-205 (1983).

 

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

 

  1. 9.    F. Marias, H. Roustanb, Pichat, “A. Modelling of a rotary kiln for the pyrolysis of Aluminium waste,” 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 solid and the gaseous phases,” Comput. Chem. Eng, 27, 813-825 (2003).

 

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

 

 

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

 

15. Ge. Qingren, K. Shifang, K, “Study of AUC thermal decomposition kinetics in nitrogen by a non-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 uranium tetrafluoride, 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 drived from ammonium diuranate,” Inorg. Nucl. Chem, 36, 87-92 (1974).

 

 

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