Gravity currents with temperature-dependent viscosity
Abstract
The spreading of fluid under gravity occurs in both nature and man-made situations and has been the subject of many previous studies. Considerably less attention has been paid to cases in which there is a strong thermal coupling influencing the flow. In this paper, simple models of the spreading of materials with temperature-dependent viscosity are presented and features that are commonly seen in experiments, such as plateauing and fingering, are shown to result. A model which includes latent heat effects is also briefly outlined.
References
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[2] G.I. Barenblatt. On some unsteady motions of a liquid or gas in a porous medium. Prikl. Mat. Mech., 16: 67- 78, 1952.
[3] D. Bercovici. A theoretical model of cooling viscous gravity currents with temperature-dependent viscosity. Geophys. Res. Lett., 21: 1177- 1180, 1994.
[4] J.A. Crossley. The spreading of solidifying melts. Third year BSc Project, University of Nottingham, 1998.
[5] J.H. Fink and R.W. Griffiths. Radial spreading of viscous-gravity currents with solidifying crust. J. Fluid Mech., 221: 485- 509, 1990.
[2] G.I. Barenblatt. On some unsteady motions of a liquid or gas in a porous medium. Prikl. Mat. Mech., 16: 67- 78, 1952.
[3] D. Bercovici. A theoretical model of cooling viscous gravity currents with temperature-dependent viscosity. Geophys. Res. Lett., 21: 1177- 1180, 1994.
[4] J.A. Crossley. The spreading of solidifying melts. Third year BSc Project, University of Nottingham, 1998.
[5] J.H. Fink and R.W. Griffiths. Radial spreading of viscous-gravity currents with solidifying crust. J. Fluid Mech., 221: 485- 509, 1990.
Published
2023-03-30
Issue
pp. 251-277
Section
Articles
License
Copyright © The Author(s).
This work is licensed under the Creative Commons Attribution 4.0 International CC BY 4.0.
How to Cite
King, J. R., Riley, D. S., & Sansom, A. (2023). Gravity currents with temperature-dependent viscosity. Computer Assisted Methods in Engineering and Science, 7(3), 251-277. https://cames3.ippt.pan.pl/index.php/cames/article/view/1234
