Thermomechanical balances of ice sheet flows

DOI10.1080/03091928408248191zbMath0571.73115OpenAlexW2091131302WikidataQ110604866 ScholiaQ110604866MaRDI QIDQ3687895

L. W. Morland

Publication date: 1984

Published in: Geophysical & Astrophysical Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03091928408248191

zbMATH Keywords

gravityviscous dissipationmomentumstrong thermomechanical couplingenergy balancesshear responsesteady plane flowco-ordinate stretchingDimensionless analysisfixed domain mappingflow of large natural ice massesgrounded sheethorizontal and vertical advectionincompressible, homogeneous, heat conducting, nonlinearly viscous fluidlong aspect rationormalized energy balanceparabolic system for the temperature and two velocity componentsseries expansions in a small parameterstrongly non-uniform mechanical responsestrongly temperature-dependent rate factorsurface slope magnitude

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermodynamics in solid mechanics (74A15) Incompressible viscous fluids (76D99)

Related Items (8)

Fluid dynamics of planetary ices ⋮ Paradoxes and problems with the longitudinal stress approximation used in glacier mechanics ⋮ Full and reduced model solutions of unsteady axi-symmetric ice sheet flow over a flat bed ⋮ Inference of the bottom properties in shallow ice approximation models ⋮ The unsteady plane flow of ice-sheets: A parabolic problem with two moving boundaries ⋮ Inference of the bottom topography in anisothermal mildly-sheared shallow ice flows ⋮ Comparison of numerical schemes for the solution of the ice-thickness equation in a dynamic/thermodynamic ice-sheet model ⋮ Bedrock topography reconstruction of glaciers from surface topography and mass-balance data

Cites Work

• A fixed domain method for diffusion with a moving boundary
• A mathematical model of polythermal glaciers and ice sheets
• Influence of non-uniform temperature distribution on the steady motion of ice sheets

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