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Table of contents
- Solid or Liquid? Solidification of a Nanoconfined Liquid under Nonequilibrium Conditions | Langmuir
- Dynamics of Liquid Solidification
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An experimental assessment November Assessment of thermal cycles by combining thermo-fluid dynamics and heat conduction in keyhole mode welding processes November Impact of non-uniform wettability in the condensation and condensation-liquid water intrusion regimes in the cathode gas diffusion layer of proton exchange membrane fuel cell November The connection between wall wettability, boiling regime and symmetry breaking for nanoscale boiling November A model for the prediction of thermal resistance of calcium sulfate crystallization fouling in a liquid—solid fluidized bed heat exchanger with cylindrical particles November Numerical study on the internal and external flow field of dust explosion venting November Local heat transfer of saturated flow boiling in vertical narrow microchannel November On the study of keyhole-mode melting in selective laser melting process November Influence of vertical channel on downward flame spread over extruded polystyrene foam November Analysis on heat transfer and pressure drop of a microchannel heat sink with dimples and vortex generators November International Journal of Thermal Sciences.
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.
- Dynamics of Liquid Solidification | neytemgafi.tk.
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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.
Oxford Academic. Google Scholar. Philippe Cardin. Cite Citation. Permissions Icon Permissions.
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.
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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Flow throughout the Earth's core inverted from geomagnetic observations and numerical dynamo models. Grain growth and loss of texture during annealing of alloys, and the translation of Earth's inner core. Scaling properties of convection-driven dynamos in rotating spherical shells and application to planetary magnetic fields. Choi and J. Eastman: Two regimes of thermal resistance at a liquid-solid interface, J.
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Kim, A. Beskok and T. Cagin: Molecular dynamics simulations of thermal resistance at the liquid-solid interface, J.