**6. References**

Ackroyd, J. A. D. (1978). Steady flow produced by a rotating-disk with either surface suction or injection. *Journal of Engineering Mathematics, 12*(3), 207-220.

Adams, R. N. (1969). *Electrochemistry at solid electrodes*. New York,: M. Dekker.

Ariel, P. D. (1996). The flow near a rotating disk: An approximate solution. *Journal of Applied Mechanics-Transactions of the ASME*, *63*(2), 436-438.

**1/2 (rad 1/2 s -1/2)**

**y = 0.0981x + 1.6336 R<sup>2</sup> = 0.9951**

7.5 <sup>8</sup> 8.5 <sup>9</sup> 9.5 <sup>10</sup> 10.5 2.35

By analyzing the results of biphasic three-dimensional numerical simulations of an electrochemical cell with a cylindrical electrode, several authors found that the submerged electrode side wall along with its right angle shape induces that the liquid velocities in the vicinity of the electrode active face were lower than that predicted with the ideal model (Gonzalez, et al., 2011; Real-Ramirez, et al., 2010). To obtain a liquid velocities field as close as possible to the ideal one, those authors suggest using electrodes with rounded border

The cylindrical electrodes are the ones mostly used for the characterization of electrochemical reactions. However, some authors still using bell-shaped electrodes. According to the authors of this chapter, the results of numerical simulations suggest that this type of electrodes may have a better performance than the cylindrical electrodes. Therefore, it is strongly recommended to conduct numerical simulations to characterize the

The authors are grateful to the support by Universidad Autonoma Metropolitana (Nos.2231207 and 2270303) and to Sistema Nacional de Investigadores (SNI-CONACYT).

Ackroyd, J. A. D. (1978). Steady flow produced by a rotating-disk with either surface suction

Ariel, P. D. (1996). The flow near a rotating disk: An approximate solution. *Journal of Applied* 

or injection. *Journal of Engineering Mathematics, 12*(3), 207-220. Adams, R. N. (1969). *Electrochemistry at solid electrodes*. New York,: M. Dekker.

*Mechanics-Transactions of the ASME*, *63*(2), 436-438.

Fig. 16. Fitting of the experimental data reported by Unguresan & Gligor (Unguresan &

Gligor, 2009) for a concentration of NADH of 1.6 m*M* by using Equation (21).

hydrodynamics of an electrochemical cell with a bell-shaped electrode.

**- Ln ( 1/2 i -1**

shape.

**5. Acknowledgements** 

**6. References** 

2.4

2.45

2.5

2.55

2.6

2.65

2.7

**L )**


**Part 3** 

**Other Applications of**

**Computational Simulations** 

*electrodes.* Paper presented at the International Materials Research Congress, Cancun.

