Journal ArticleDOI
Convection in a fluid with two phases
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In this article, the authors considered the instability of a horizontal fluid layer with a univariant phase transition and found that the layer can be unstable even when the less dense phase lies above the dense phase and can be stable in the opposite case.Abstract:
The gravitational instability of a horizontal fluid layer with a univariant phase transition is considered It is found that the layer can be unstable even when the less dense phase lies above the dense phase and can be stable in the opposite case Applications of the theory to convection with phase transitions in astrophysical and geophysical problems are briefly discussedread more
Citations
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The impulse response of a Maxwell Earth
TL;DR: In this paper, an extended form of the correspondence principle is employed to determine directly the quasi-static deformation of viscoelastic earth models by mass loads applied to the surface.
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Convection in the earth's mantle: towards a numerical simulation
TL;DR: In this article, a review of the geophysical information and the fluid dynamics of convection in a Boussinesq fluid of infinite Prandtl number is presented and analyzed in terms of simple physical models.
Journal ArticleDOI
Role of Phase Transitions in a Dynamic Mantle
TL;DR: In this article, an effective thermal expansion coefficient and a modified adiabatic temperature gradient may be defined for the phase transition zone for divariant systems, for univariant systems: (1) effects of latent heat and advection of ambient temperature on the position of the phase boundary and on its associated body force, and (2) coupling of the latent heat with the ordinary thermal expansivity of the material.
Journal ArticleDOI
Dynamical Models for Sea Floor Spreading
TL;DR: In this paper, the authors investigate the role of vertical temperature gradients and find these incapable of generating flows in the asthenosphere that move overlying lithospheric plates by viscous traction.
Journal ArticleDOI
Avalanche effects in phase transition modulated thermal convection: A model of Earth's mantle
L. P. Solheim,W. R. Peltier +1 more
TL;DR: In this article, an anelastic, multiphase model of the mantle convection process in axisymmetric spherical shell geometry was developed and applied to examine the extent to which the pressure-induced phase transitions in the planetary mantle may conspire to cause the flow to become radially layered.
References
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Journal ArticleDOI
LIX. On convection currents in a horizontal layer of fluid, when the higher temperature is on the under side
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On the Boussinesq Approximation for a Compressible Fluid.
E. A. Spiegel,George Veronis +1 more
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The stability of finite amplitude cellular convection and its relation to an extremum principle
TL;DR: In this article, the stability of cellular convection flow in a layer heated from below is discussed for Rayleigh number R close to the critical value Rc, where Rc is a given value of the convective heat transport.
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The convection current hypothesis
TL;DR: In this article, the linear stability problem for a number of models of the mantle of the earth is considered, and it seems likely that the Rayleigh number for mantle-wide convection is far in excess of the value necessary for marginal instability.
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The Instability of a Compressible Fluid heated below
TL;DR: In this paper, the vertical gradient of temperature needed to produce convection currents in a layer of incompressible liquid has been investigated in several instances, and it has been shown that the excess needed in a compressible fluid is to be found by the same formula as gives the gradient needed for instability in a fluid.