Abstract
In this chapter we present most of the equations that apply to the systems and processes that will be dealt with later. Most of these are equations of concentration dynamics, that express concentration of one or more solution species as a function of time, as well as other variables, in the form of differential equations. Fundamentally, these are transport equations (diffusion-, convection- and migration-), but may be complicated by chemical processes occurring heterogeneously (i.e., at the electrode surface — electrochemical reaction) or homogeneously (in the solution bulk — chemical reaction).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
J. Crank; “The Mathematics of Diffusion”, Clarendon Press, Oxford, 1975.
A. Fick; Pogg. Ann. 94 (1855) 59.
J.F.J. Fourier; “Théorie analytique de la chaleur” 1822.
K.J. Vetter; “Elektrochemische Kinetik”, Springer 1961 (or English translation).
H.H. Bauer; “Electrodics”, Thieme 1972.
M. Abramowitz, I.A. Stegun; “Handbook of Mathematical Functions”, Dover 1968.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1981 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Britz, D. (1981). Basic Equations. In: Digital Simulation in Electrochemistry. Lecture Notes in Chemistry, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21819-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-21819-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-10564-0
Online ISBN: 978-3-662-21819-8
eBook Packages: Springer Book Archive