Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. I. Surface balance laws and their interpretation in terms of three-dimensional balance laws averaged over the phase change boundary layer. II. Thermodynami

DOI10.1515/jnet.1988.13.3.221zbMath0671.73003OpenAlexW1972664222MaRDI QIDQ1119404

Thorsten Alts, Kolumban Hutter

Publication date: 1988

Published in: Journal of Non-Equilibrium Thermodynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jnet.1988.13.3.221

zbMATH Keywords

entropybalance equationsbulk fieldsboundary layer of finite thicknessbulk field distributionscontinuum mechanical descriptioncurvature dependence of surface tensioncurvature weighted mean valuesKinematic and dynamic consistency connectionsnon- material singular surface bearing mass, momentum, energy and entropynon-material singular surface bearing mass, momentum, energy andnon-polar membrane theoryphase boundary layerssmooth but rapid changesSurface balance laws

Mathematics Subject Classification ID

Thermodynamics in solid mechanics (74A15) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

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On conservation equation combinations and closure relations, BALANCE LAWS IN CHARGED CONTINUOUS SYSTEMS WITH AN INTERFACE, Phase change interactions and singular fronts, A thermodynamic model of multiphase flows with moving interfaces and contact line, Dynamic contact of bodies experiencing large deformations, Exegesis of Sect. III.B from “Fundamentals of the Mechanics of Continua” by E. Hellinger, Energy methods for nonlinear stability in convection problems primarily related to geophysics, Balance laws for continua with an interface deduced from multiphase continuous models with a transition layer, Some fundamental aspects of surface modelling, Aspects of interface elasticity theory, Fluid penetration effects in porous media contact, Balance relations for classical mixtures containing a moving non-material surface with application to phase transitions, Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. III: Thermostatics and its consequences, Continuum description of the dynamics and thermodynamics of phase boundaries between ice and water. IV: On thermostatic stability and well- posedness

Cites Work

• A thermodynamic viscous interface theory and associated stability problems
• A continuum theory of elastic material surfaces
• Thermodynamics of an interface
• A mathematical model of polythermal glaciers and ice sheets
• Balance equations and structural models for phase interfaces