Viscoelastodynamics of a stratified, compressible planet - Incremental field equations and short- and long-time asymptotes

Details Viscoelastodynamics of a stratified, compressible planet - Incremental field equations and short- and long-time asymptotes Viscoelastodynamics of a stratified, compressible planet - Incremental field equations and short- and long-time asymptotes

Feb 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991geoji.104..401w&link_type=abstract

Geophysical Journal International (ISSN 0955-419X), vol. 104, Feb. 1991, p. 401-417.

Physics

Fluid Dynamics

27

Asymptotic Methods, Compressible Fluids, Elastodynamics, Gravitational Effects, Rotating Fluids, Viscoelasticity, Continuum Mechanics, Entropy, Equations Of State, Newtonian Fluids

Scientific paper

A chemically and entropically stratified compressible rotating fluid planet is considered, and gravitational-viscoelastic perturbations of a hydrostatic initial state are studied. Using the Lagrangian formulation, the incremental field equations and continuity conditions governing the perturbations are derived, and the asymptotes to the equations for short and long times after the onset of the perturbations are deduced. The short-time asymptotic equations are referred to as the incremental field equations and continuity conditions of generalized elastodynamics. They include the equations of conventional elastodynamics as zeroth-order approximations. The long-time asymptotic equations agree with the incremental field equations and continuity conditions of Newtonian-viscous fluid dynamics. Finally, the generalized incremental incompressibility condition is introduced, and, based on it, approximate incremental field equations for gravitational-viscoelastic perturbations of isochemical, isentropic, and compressible regions are derived.

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