BE.430 Recitation:
Summary of the Electrochemical Subsystem
Adapted from A. Grodzinsky
11/10/2004
Equations governing the electrochemical system (and mechanical subsystem):
z
(1) N i = Di ci + i ui ci E + ci v fl (Molar flux constitutive Equation)
zi
c
(2
BE.430 Tutorial:
Greens Functions
9/29/2004
General Theory
L v ( ) = f ( )
d 2 v ( )
dv ( )
where L v ( ) = a0 ( )
+ a1 ( )
+ a2 ( ) v ( )
2
dx
dx
Properties of Equation:
Inhomogeneous boundary value problems
Ordinary differential equations
Nonlinear f()
BE.430 Tutorial:
Linear Operator Theory and Eigenfunction Expansion
(adapted from Douglas Lauffenburger)
9/22/2004
Motivating problem
In class, we encountered partial differential equations describing transient systems with chemical diffusion. We
learned
BE.430 Tutorial:
Molecular Transport/Mass Transport
9/17/2004
Chemical engineers usually have a strong background in transport phenomena and may be
familiar with and have a better understanding of the concepts taught in the first few weeks of
BE.430. We
Chemical Subsystem
Governing Equations:
C
= N i + Rv
t
(2) Nernst-Planck Flux Equation (Ficks diffusion + convection + migration)
z
N i = DCi + vCi + i ui Ci E
zi
Boundary conditions come from
1. flux matching
0 = n1 ( N 1 N 2 ) + RS
2. concentration matc