The Flow of Ice, Treated as a Newtonian Viscous Liquid, around a Cylindrical Obstacle Near the Bed of a Glacier
- 1 January 1979
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Glaciology
- Vol. 23 (89), 117-129
- https://doi.org/10.1017/s0022143000029774
Abstract
This paper describes an analytical solution of the equations of motion and heat conduction for ice flowing around a cylindrical solid inclusion and over a solid plane boundary. This is intended to be a simplified representation of the flow of clean glacier ice around a stone and over a rigid rock bed. The ice is treated as a Newtonian viscous liquid and the equations are solved in two dimensions. Regelation boundary conditions are applied at both ice–rock interfaces. It is found that finite solutions for the temperature and stream function only exist for the special cases in which two dimensionless critical wavelengths are zero. That is, unless the stone is very far from the glacial bed, the classical regelation boundary conditions cannot be obeyed over the whole of its surface.Keywords
This publication has 10 references indexed in Scilit:
- Direct Measurement of Stress at the Base of a GlacierJournal of Glaciology, 1979
- Pressure melting and regelation of ice by round wiresProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1973
- Sliding motion of glaciers: Theory and observationReviews of Geophysics, 1970
- Glacier sliding without cavitation in a linear viscous approximationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1970
- A calculation on the sliding of ice over a wavy surface using a Newtonian viscous approximationProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1969
- An experiment in regelationPhilosophical Magazine, 1967
- Theory of regelationPhilosophical Magazine, 1967
- Regelation experiments with wiresPhilosophical Magazine, 1967
- On the mechanism by which stones in till become orientedAmerican Journal of Science, 1957
- The rotation of two circular cylinders in a viscous fluidProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1922