On a free-moving boundary diffusion problem in a catalytic gas-solid system with catalyst decay

SIAM Journal on Applied Mathematics

Volumn 60, Issue 5, 2000, Pages 1667-1685

  Bobula, E ^a   Tarzia, D A ^b   Twardowska, K ^c   Villa, L T ^d  

^a AGH UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Poland)

^b UNIVERSIDAD AUSTRAL   (Argentina)

^c WARSAW UNIVERSITY OF TECHNOLOGY   (Poland)

^d Instituto de Investigaciones para la Industria Quimica Salta   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFUSION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; REACTION KINETICS; TWO PHASE FLOW;

FREE BOUNDARY PROBLEM; GAS-SOLID SYSTEMS;

CATALYSIS;

EID: 0033659540     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/s0036139996300435     Document Type: Article

References (19)

1. R. ARIS, The Mathematical Theory of Diffusion and Reaction in Permeable Catalysts. Vol. II, Clarendon Press, Oxford, UK, 1975.
2. E. BOBULA AND K. TWARDOWSKA, On a certain inverse Stefan problem, Bull. Polish Acad. Sci. Math. Technical Sciences. 33 (1985), pp. 359-370.
3. J.R. CANNON, The One-Dimensional Heat Equation, Addison-Wesley, Menlo Park, 1984.
4. H.S. CARSLAW AND J. C. JAEGER, Conduction of Heat in Solids, Clarendon Press, Oxford, UK, 1959.
5. E. COMPARINI, On a class of nonlinear free boundary problems, Boll. Un. Mat. Italiana Suppl. Fisica Matematica, 2 (1983), pp. 187-202.
6. J. CRANK, The Mathematics of Diffusion, Clarendon Press, Oxford, UK, 1975.
7. J. CRANK, Free and Moving Boundary Problem, Clarendon Press, Oxford, UK, 1984.
8. C.M. ELLIOTT AND J.R. OCKENDON, Weak and Variational Methods for Moving Boundary Problems, Research Notes in Math. 59, Pitman, London, 1982.
9. A. FASANO AND M. PRIMICERIO, Free boundary problems for nonlinear parabolic equations with nonlinear free boundary conditions, J. Math. Anal. Appl., 72 (1979), pp. 247-273.
10. A. FRIEDMAN, Partial Differential Equations of Parabolic Type, Prentice-Hall, Englewood Cliffs, NJ, 1964.
11. G.F. FROMENT AND K.B. BISCHOFF, Chemical Reactor Analysis and Design, John Wiley, New York, 1979.
12. J.H. OLSON, Rates of poisoning in fixed-bed reactors, I&EC Fundamentals, 7 (1968), pp. 185-188.
13. O.A. OLEINIK, M. PRIMICERIO, AND E.V. RADKEVICH, Stefan-like problems, Meccanica, 28 (1993), pp. 129-143.
14. M. PRIMICERIO, Problemi di diffusione a frontiera libera, Boll. Un. Mat. Italiana, 18A (1981), pp. 11-68.
15. L.I. RUBINSTEIN, The Stefan Problem, Transi. Math. Monographs 27, A.M.S., Providence, RI, 1971.
16. D. A. TARZIA, A Bibliography on Moving-Free Boundary Problems for the Heat-Diffusion Equation. The Stefan and Related Problems, MAT, 2, Universidad Austral, Rosario, Argentina, 1999.
17. D.A. TARZIA AND L.T. VILLA, On the free boundary problem in the Wen-Langmuir shrinking core model for non-catalytic gas-solid reactions, Meccanica, 24 (1988), pp. 86-92.
18. L.T. VILLA, La ecuación de la difusión y su aplicación a problemas de frontera libre, Cuadern. Inst. Mat. Beppo Levi, 14 (1987), pp. 101-116.
19. C.Y. WEN, Noncatalytic heterogeneous solid fluid reaction models, Industrial Eng. Chem., 60 (1968), pp. 33-54.