A hybrid differencing scheme for mass transport in electrochemical systems

International Journal of Numerical Methods for Heat and Fluid Flow

Volumn 15, Issue 8, 2005, Pages 842-862

  Heppner, Kevin L ^a   Evitts, Richard W ^a  

^a UNIVERSITY OF SASKATCHEWAN   (Canada)

Author keywords

Electromotive force; Modelling; Transfer processes

Indexed keywords

COMPUTER SIMULATION; DIFFUSION; ELECTROCHEMISTRY; ELECTROLYTES; ELECTROMIGRATION; MATHEMATICAL MODELS; VISCOSITY;

ARTIFICIAL VISCOSITY; ELECTROCHEMICAL SYSTEMS; ELECTROMOTIVE FORCE; TRANSFER PROCESSES;

MASS TRANSFER;

ELECTROCHEMICAL PROCESS; MASS TRANSFER;

EID: 27744529307     PISSN: 09615539     EISSN: None     Source Type: Journal    
DOI: 10.1108/09615530510625110     Document Type: Article

References (20)

1. Barakat, H.Z. and Clark, J.A. (1966), "Analytical and experimental study of transient laminar natural convection flows in partially filled containers", Proceedings of 3rd Int. Heat Transfer Conference II, paper 57, Chicago, IL, p. 152.
2. Courant, R., Isaacson, E. and Rees, M. (1952), "On the solution of non-linear hyperbolic differential equations by finite differences", Comm. Pure Appl. Math., Vol. 5, p. 243.
3. Evitts, R.W. (1997), "Modelling of crevice corrosion", PhD dissertation, University of Saskatchewan, Saskatoon, SK.
4. Fu, J.W. and Chan, S. (1984), "A finite element method for modelling localized corrosion cells", Corrosion, Vol. 40, pp. 540-4.
5. Gentry, R.A., Martin, R.E. and Daly, B.J. (1966), "An Eulerian differencing method for unsteady compressible flow problems", J. Comp. Phys., Vol. 1, p. 87.
6. Heppner, K.L., Evitts, R.W. and Postlethwaite, J. (2002), "Prediction of the crevice corrosion incubation period of passive metals at elevated temperatures. Part I - mathematical model", Canadian Journal of Chemical Engineering, Vol. 80, pp. 849-56.
7. Newman, J. (1973), Electrochemical Systems, Prentice-Hall, Toronto, ON.
8. Patankar, S.V. (1980), Numerical Heat Transfer and Fluid Flow, Hemisphere, Washington, DC.
9. Patankar, S.V. and Spalding, D.B. (1970), Heat and Mass Transfer in Boundary Layers, 2nd ed., Intertext, London.
10. Raithby, G.D. and Schneider, G.E. (1980), "The prediction of surface discharge jets by a three-dimensional finite-difference model", Journal of Heat Transfer, Vol. 102, pp. 138-45.
11. Raithby, G.D. and Torrence, K.E. (1974), "Upstream-weighted differencing schemes and their application to elliptic problems involving fluid flow", Comput. Fluids, Vol. 2, p. 191.
12. Runchal, A.K. and Wolfshtein, M. (1969), "Numerical integration procedure for the steady state Navier-Stokes equations", J. Mech. Eng. Sci., Vol. 11, p. 445.
13. Scarborough, J.B. (1958), Numerical Mathematical Analysis, 4th ed., Hopkins Press, Baltimore, MD.
14. Spalding, D.B. (1972), "A novel finite-difference formulation for differential expressions involving both first and second derivatives", Int. J. Num. Methods Eng., Vol. 4, p. 551.
15. Walton, J.C., Cragnolino, G. and Kalandros, S.K. (1996), "A numerical model of crevice corrosion for passive and active metals", Corrosion Science, Vol. 38, pp. 1-18.
16. Watson, M.K. (1989), "Numerical simulation of crevice corrosion", PhD dissertation, University of Saskatchewan, Saskatoon, SK.
17. Watson, M.K. and Postlethwaite, J. (1990a), "Numerical simulation of crevice corrosion of stainless steels and nickel alloys in chloride solutions", Corrosion, Vol. 46, pp. 522-30.
18. Watson, M.K. and Postlethwaite, J. (1990b), "Numerical simulation of crevice corrosion", Proceedings of Corrosion/90, Las Vegas, NV, 23-27 April 1990, NACE International, Houston, TX, pp. 156:1-156:19.
19. Watson, M.K. and Postlethwaite, J. (1991), "Numerical simulation of crevice corrosion: the effect of the crevice gap profile", Corrosion Science, Vol. 32, pp. 1253-62.
20. Heppner, K.L. and Evitts, R.W. (2004), "Computation of mass transport in stagnant electrolytic systems", Dynamics of Continuous, Discrete, and Impulsive Systems - B, Vol. 11 Nos 1/2, pp. 29-46.