Guide Dynamics of Liquid Solidification: Thermal Resistance of Contact Layer

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Dynamics of Liquid Solidification: Thermal Resistance of Contact Layer This monograph comprehensively describes phenomena of heat flow during phase.
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Advertisers Media Information. Still, it does suggest that the effect could be important, and worth considering in more details.

Solid or Liquid? Solidification of a Nanoconfined Liquid under Nonequilibrium Conditions | Langmuir

Inner core translation can potentially explain a significant part of the inner core structure, but its existence depends critically on the value of a number of poorly constrained parameters. In this paper, we have studied in details the conditions for and dynamics of inner core thermal convection when melting and solidification at the ICB are allowed. We summarize here the main results and implications of our work:. Being driven by buoyancy, a prerequisite for the existence of convective translation is that an unstable density profile is maintained within the inner core. Thermal convection requires that a superadiabatic temperature profile is maintained with the inner core, which is highly dependent on the core thermal history and inner core thermal conductivity.

As proposed in Section 8 , the formation of an iron-rich layer at the base of the outer core over the history of the inner core implies that the inner core crystallizes from a source which is increasingly depleted in light elements.

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This in turn implies that the newly crystallized solid is increasingly depleted in light element, which results in an unstable density profile. Whether this positive feedback is strong enough to overcome the stabilizing effect of a possibly subadiabatic temperature profile depends on the dynamics of the F-layer, and further work is needed to test this idea. We would like to thank the two anonymous referees for many helpful comments and suggestions. Oxford University Press is a department of the University of Oxford. It furthers the University's objective of excellence in research, scholarship, and education by publishing worldwide.

Sign In or Create an Account. Sign In. Advanced Search. Article Navigation. Close mobile search navigation Article Navigation. Volume Article Contents. Thermal convection in Earth's inner core with phase change at its boundary Renaud Deguen.


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Abstract Inner core translation, with solidification on one hemisphere and melting on the other, provides a promising basis for understanding the hemispherical dichotomy of the inner core, as well as the anomalous stable layer observed at the base of the outer core—the so-called F-layer—which might be sustained by continuous melting of inner core material.

Numerical solutions , Instability analysis , Seismic anisotropy , Heat generation and transport. Open in new tab Download slide. We choose as a reference radius the intersection of the mean outer core adiabat with the solidification temperature curve Fig. Open in new tab. The importance of self-gravitation is best estimated by analyzing its effect in terms of vorticity production.

We form the vorticity equation by taking the curl of eq. Furthermore, viscous and adiabatic heating can be neglected since the dissipation number is small Tritton We further assume that the thermal conductivity and thermal expansion are uniform. The mechanical boundary conditions are tangential stress-free conditions the fluid outer core cannot sustain tangential stress and continuity of the normal stress at the inner core boundary. This assumption is essentially correct when the growth rate of the fastest unstable disturbance is much larger than the growth rate of the radius of the inner core.

Solving eq.

Dynamics of Liquid Solidification

Allowing only for the translation i. From the momentum eq. With B and C given by eqs and , eq. Let us finally discuss the influence of the thermal boundary layer that must develop in the solid inner core near the melting side when a convective translation exists. From the thermal eq. More quantitative informations on the structure of convection can be found by estimating a characteristic length scale of the flow. We start our analysis by first noting that under statistically steady state conditions, the heat flux at the ICB must be equal, in a time-averaged sense, to the heat production within the inner core.

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This must be in balance with the non-dimensional internal heat production. This poor agreement might be due to the spherical geometry. In a sphere, plumes converge towards each others while sinking, which is not the case in cartesian boxes, and is not a very significant effect in a spherical shell for which, like in Earth's mantle, the radius of the inner shell is a significant fraction of that of the outer shell. The starting point is the continuity of the normal stress at the ICB, given by eq.


There is always a lag between when conditions become supercritical and when the amplitude of convective motions become significant, due to the finite growth rate of the instability. From eq. In general, the fact that the thermal and compositional diffusivities are different can be of importance, and would lead to double-diffusive type convection.

However this is not the case in the translation regime, for which diffusion does not play any role as long as the translation rate is large enough i. Google Preview. Melting induced stratification above the Earth's inner core due to convective translation. Search ADS. Ab initio chemical potentials of solid and liquid solutions and the chemistry of the Earth's core. The Boussinesq and anelastic liquid approximations for convection in the Earth's core.

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