Skip to main content
Log in

Dynamics of magma in a volcanic conduit — Special emphasis on viscosity of magma with bubbles

  • Chapter I: Physico-chemical Aspect Of Magma Generation
  • Published:
Bulletin Volcanologique Aims and scope Submit manuscript

Abstract

A possible dynamic process for magma flow in a volcanic conduit is briefly described. In many of the governing equations, viscosity of magma is involved, and hence, the effective viscosity of magma with small concentration of bubbles was calculated under the assumption of small Reynolds number. The result is

$$\eta _\ell = \eta _u (1 + \Phi ),$$

where ηo is the viscosity of a liquid and ϕ is the volume concentration of bubbles. Thus, the effective viscosity increases with nucleation of gas bubbles in magma. This result reduces the effect of a thermal feedback evele which is postulated as a possible thermodynamical process in viscous magma in a volcanic conduit.

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

References

  • Bennet, F. D., 1974,On Volcanic Ash Formation. Amer. J. Sci.,274, p. 648–661.

    Article  Google Scholar 

  • Einstein, A., 1906,Eine neue Bestimmung der Molekul-dimensionen. Ann. d. Phys.,19, p. 289–306.

    Google Scholar 

  • —————, 1911,Berichtigung zu meine Arbeit: « Eine neue Bestimmung der Molekul-dimensionen. Ann. d. Phys.,34, p. 591–592.

    Google Scholar 

  • Fujh, N. andUyeda, S., 1974,Thermal Instabilities during Flow of Magma in Volcanic Conduits. J. Geophys. Res.,79, p. 3367–3369.

    Article  Google Scholar 

  • Gruntfest, I. J., 1963,Thermal Feedback in Liquid Flow: Plane Shear at Constant Stress. Trans. Soc. Rheol.,7, p. 195–207.

    Article  Google Scholar 

  • Gruntfest, I. J., Young, J. P. andJohnson, N. L., 1964,Temperature Generated by the Flow of Liquids in Pipes. J. Appl. Phys.,35, p. 18–22.

    Article  Google Scholar 

  • Hatschek, E.,The Viscosity of Liquids. Bell and Sons, London, 1928, p. 201.

    Google Scholar 

  • Hess W. R., 1920,Beitrag zur Theorie der Viskosität Heterogener Systeme. Koll Zeitsch.,27, p. 1–11.

    Article  Google Scholar 

  • Landau, L. D. andLifshitz, E. M.,Fluid Mechanics (translated from Russian byJ. B. Sykes andW. H. Reid). Pergamon Press, London, 1959, 536 pp.

    Google Scholar 

  • Macedo, I. C. andYang W.-J., 1974,The Drag of Air Bubbles Rising in Non-Newtonian Liquids. Jap. J. Appl. Phys.,13, p. 529–533.

    Article  Google Scholar 

  • Macbirney, A. R. andMurase, T., 1970,Factors Governing the Formation of Pyroclastic Rocks. Bull. Volcanol.,34, p. 372–384.

    Article  Google Scholar 

  • Mackenzie, J. K., 1950,The Elastic Constants of a Solid Containing Spherical Holes. Phys. Soc. Proc. (London),63, p. 2–11.

    Article  Google Scholar 

  • Murase, T., 1962,Viscosity and Related Properties of Volcanic Rocks at 800 to 1400°C. J. Fac. Sci. Hokkaido Univ. Geophysics,1, p. 487–584.

    Google Scholar 

  • Roscoe, R., 1952,The Viscosity of Suspensions of Rigid Spheres. British J. Appl. Phys.,3, p. 267–269.

    Article  Google Scholar 

  • Scriven, L. E., 1959,On the Dynamics of Phase Growth. Chem. Eng. Sci.,10, p. 1–13.

    Article  Google Scholar 

  • Shaw, H. R., 1965,Comments on Viscosity, Crystal Setting, and Convenction in Granitic Magmas. Amer. J. Sci.,263, p. 120–152.

    Article  Google Scholar 

  • —————, 1969,Rheology of Basalt in Melting Range. J. Petrol.,10, p. 510–535.

    Google Scholar 

  • Shimozuru, D., 1975,Lava Lake Oscillation and the Magma Reservoir Beneath a Volcano. Bull. Volcanol.,39, p. 1–11.

    Article  Google Scholar 

  • Sibree, J. O., 1934,The Viscosity of Froth. Trans. Far. Soc.,30, p. 325–331.

    Article  Google Scholar 

  • Taylor, G. I., 1932,The Viscosity of a Fluid Containing Small Drops of Another Fluid. Proc. Roy. Soc., London,A 138, p. 41–48.

    Google Scholar 

  • Verhoogen, J., 1951,Mechanics of Ash Formation. Amer. J. Sci.,249, p. 729–739.

    Article  Google Scholar 

  • Wallis, G. B., 1969,One-Dimensional Two-phase Flow. McGraw-Hill, pp. 408.

  • Yakoyama, I., 1961,The Flow and Upwelling of Lava (Part I, II). Bull. Volc. Soc. Japan,6, p. 51–59 (in Japanese).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shimozuru, D. Dynamics of magma in a volcanic conduit — Special emphasis on viscosity of magma with bubbles. Bull Volcanol 41, 333–340 (1978). https://doi.org/10.1007/BF02597368

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02597368

Keywords

Navigation