Large Prandtl number finite-amplitude thermal convection with Maxwell viscoelasticity

Details Large Prandtl number finite-amplitude thermal convection with Maxwell viscoelasticity Large Prandtl number finite-amplitude thermal convection with Maxwell viscoelasticity

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982gapfd..22..103i&link_type=abstract

Geophysical and Astrophysical Fluid Dynamics, vol. 22, no. 1-2, 1982, p. 103-132.

Physics

Fluid Dynamics

3

Convective Heat Transfer, Earth Mantle, Free Convection, Prandtl Number, Rheology, Viscoelasticity, Buoyancy, Kinetic Energy, Rayleigh Number, Stress Relaxation

Scientific paper

It has long been known that the earth behaves viscoelastically. Viscoelasticity may be of importance in two aspects of mantle convection, including time-dependent behavior and local storage of recoverable work. The present investigation makes use of thermal convection in a box as a prototype of mantle flow. It is demonstrated that recoverable work can be important to the local mechanical energy balance in the descending lithosphere. It is shown that, even when assuming large viscoelastic parameters, an inherent time-dependence of viscoelastic convection appears only in local exchanges of mechanical energy. There is no strong exchange between buoyant potential energy and recoverable strain energy in the Rayleigh number range investigated. The investigation is mainly concerned with viscoelastic effects occurring on a buoyant time scale. It is found that viscoelastic effects have a negligible influence on the long term thermal energetics of mantle convection.

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