Skip to main content
Log in

Growth kinetics of bubbles electrogenerated at microelectrodes

  • Papers
  • Published:
Journal of Applied Electrochemistry Aims and scope Submit manuscript

Abstract

The growth kinetics of electrogenerated hydrogen, oxygen and chlorine gas bubbles formed at microelectrodes, were determined photographically and fitted by regression analysis to the equation;r(t)=βt x, wherer(t) is the bubble radius at timet after nucleation,β the ‘growth coefficient”, andx the ‘time coefficient’. The coefficientx was found to decrease from a short time (< 10 ms) value near unity, typical of inertia controlled growth, through 0.5, characteristic of diffusional control, to 0.3, expected for Faradaic growth, at long times (\s> 100 ms). The current efficiency for bubble growth increased with bubble lifetime, reflecting the decrease in local dissolved gas supersaturation. The pH dependency of the bubble departure diameter indicated that, in surfactant-free electrolytes, double layer interaction forces between the negatively charged hydrogen evolving cathode or positively charged oxygen/chlorine evolving anode and positively (pH \s< 2) or negatively (pH \s> 3) charged bubbles, were the determining factor. The effect of addition of an increasing concentration of cationic (DoTAB) or anionic (SDoS) surfactant was to progressively reduce the pH effect on departure diameter, due to surfactant adsorption on the bubble and, to a lesser extent, on the electrode.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Abbreviations

C :

coefficient [3]

D :

diffusion coefficient (m2 s−1)

I :

current (μA)

P :

pressure (kN m−2)

R :

universal gas constant (8.314 J mol−1 K−1)

r :

bubble radius (μm)

T :

absolute temperature (K)

t :

time (ms)

x :

time coefficient

zF :

molar charge (96 487z C mol−1)

β :

growth coefficient (m s−0.33)

ΔP :

Laplace excess pressure (kN m−2)

γ :

surface tension (mN m−1)

ρ :

electrolyte density (kg m−3)

θ :

contact angle (∘)

References

  1. J. P. Glas and J. W. Westwater,Int. J. Heat Mass Transfer 7 (1964) 1427.

    Google Scholar 

  2. D. E. Westerheide and J. W. Westwater,AIChE J. 7 (1961) 351.

    Google Scholar 

  3. L. E. Scriven,Chem. Eng. Sci. 1 (1959) 1.

    Google Scholar 

  4. H. F. A. Verhaart, R. M. De Jonge and S. J. D. van Stralen,Int. J. Heat Mass Transfer 23 (1980) 293.

    Google Scholar 

  5. L. J. J. Janssen, ‘Boiling Phenomena’, Vol. 1, (Edited by S. J. D. van Stralen and R. Cole) McGraw-Hill, New York (1979) Ch. 13.

    Google Scholar 

  6. D. Landolt, R. Acosta, R. H. Muller and C. W. TobiasJ. Electrochem. Soc. 117 (1970) 839.

    Google Scholar 

  7. R. M. De Jonge, E. Barendrecht, L. J. J. Janssen and S. J. D. van Stralen, Proceedings of the 3rd World Hydrogen Conference, Tokyo (1980), pp. 195–207.

  8. C. W. Sillen, E. Barendrecht, L. J. J. Janssen and S. J. D. van Stralen,ibid pp. 175–193.

  9. A. Coehn and H. Neumann,Z. Phys. 20 (1923) 54.

    Google Scholar 

  10. M. J. Blandamer, F. Franks, K. H. Haywood and A. C. Tory,Nature 216 (1967) 783.

    Google Scholar 

  11. J. Venczel,Electrochim. Acta 15 (1970) 1909.

    Google Scholar 

  12. B. Kabanov and A. N. Frumkin,Z. Phys. Chem. 165 (1933) 433.

    Google Scholar 

  13. Idem, ibid. 166 (1934) 316.

    Google Scholar 

  14. N. P. Brandon, G. H. Kelsall, S. Levine and A. L. Smith,J. Appl. Electrochem. 15 (1985) 485.

    Google Scholar 

  15. N. P. Brandon, Ph.D. Thesis, University of London, (1985).

  16. W. J. McG. Tegart, ‘The Electrolytic and Chemical Polishing of Metals’, Pergamon, London (1956).

    Google Scholar 

  17. S. Shibata,Bull. Chem. Soc. Jpn 36 (1963) 53.

    Google Scholar 

  18. S. Shibata,Electrochim. Acta 23 (1978) 619.

    Google Scholar 

  19. Lord Rayleigh,Philos. Mag. 94 (1917).

  20. N. P. Brandon and G. H. Kelsall, to be published.

  21. E. Gileadi, S. D. Argade and J. O'M. Bockris,J. Phys. Chem. 70 (1966) 2044.

    Google Scholar 

  22. J. Rogers,Trans IMM 66 (1957) C439.

    Google Scholar 

  23. S. K. Doss,ibid. 85 (1976) C195.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Brandon, N.P., Kelsall, G.H. Growth kinetics of bubbles electrogenerated at microelectrodes. J Appl Electrochem 15, 475–484 (1985). https://doi.org/10.1007/BF01059288

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01059288

Keywords

Navigation