Simulation space microdisc

The simulation space and boundary conditions for a microband is exactly the same as that for a microdisc, as depicted in Figure 9.3, except for the change of coordinate system. 

Apart from this change in boundary condition, the simulation space for a microdisc array is exactly the same as that used for the single microdisc, depicted in Figure 9.3. 

Apart from this change in boundary condition, the simulation space for a microband array is exactly the same as for the single microband, depicted in Figure 9.8. As with the microdisc array, it is necessary to alter the spatial grid in the X-direction so that there is a high concentration of spatial points at this outer boundary to ensure accurate simulation. 

The unit cell and coordinates are illustrated in Figure 10.14(b). As with the array of microdiscs model, the unit cell is cylindrically symmetrical about an axis that passes through the centre of the pore, perpendicular to the electrode surface. The problem may thus be reduced from a three-dimensional one to a two-dimensional one. As with the microdisc electrode, this is a two-dimensional cylindrical polar coordinate system, and Pick s second law in this space is given by Eq. (9.6). The simulation space for the unit cell with its attendant boundary conditions is shown in Figure 10.15. 

Fig, 45 Coordinates for the simulation of a microdisc electrode (a) real space (r, z) (b) Michael el al. s (1989) conformal mapping (c) Amatore and Fosset s (1992) closed-space conformal mapping. 

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