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A note on the Stefan number in slab melting and solidification
Letters in Heat and Mass Transfer, 1981The Stefan number St is ordinarily described as the ratio of sensible to latent heat in a phase change process. We show that for a particular phase change process St does indeed approximate twice that ratio, and that the ratio is independent of time. The usefulness of the result for latent heat thermal energy storage analysis is noted via an example.
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Melting in the deep upper mantle oceanward of the Honshu slab
Physics of the Earth and Planetary Interiors, 2009Abstract We examine the upper mantle and transition zone beneath the western Pacific using multiple ScS reverberations. A low-velocity zone (LVZ) is found above the 410-km discontinuity oceanward of the subducting Honshu slab at an average depth of 356 km, with a thickness that ranges from 50 to 75 km assuming the LVZ continues to the 410-km ...
Brian Bagley +2 more
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Total Melting Time in the Ablating-Slab Problem
Journal of Applied Physics, 1972The result obtained by Rogerson and Chayt is derived more simply from the conservation of energy.
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A general starting solution for melting and solidifying slabs
International Journal of Engineering Science, 1968Abstract General starting and short-time solutions for melting or solidifying slabs are developed. The following effects are included: arbitrary heating conditions, arbitrary rates of liquid removal (including the limiting cases of stationary and instantaneously removed liquid), temperature-dependent properties, and finite slab thickness.
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How does a slab-shaped solid melt?
Surface Science, 1996Abstract In the framework of a mean-field theory of the Landau-type, we study melting of a system of slab geometry; it is found that a slab-shaped solid made of a material, which shows the surface-induced melting like Pb, exhibits the two-stage phase transition: first, it begins to melt from the surface, i.e.
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BOUNDS IN MELTING SLABS WITH SEVERAL TRANSFORMATION TEMPERATURES
The Quarterly Journal of Mechanics and Applied Mathematics, 1966Abstract : The problem studied concerns the establishment of a uniqueness theorem and a comparison theorem, which are essential in the construction of bounds, for a multiphase slab which is insulated on one face and is heated in an arbitrary manner on the other.
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ANALYTICAL APPROACHES FOR SYSTEM OF NONLINEAR EQUATIONS ARISING IN MELTING OF A FINITE SLAB
International Journal of Modern Physics B, 2009Most engineering problems, especially heat transfer equations are mostly nonlinear. Variational iteration method (VIM) and homotopy perturbation method (HPM) are useful numerical and analytical methods for solving nonlinear heat transfer equations. Perturbation methods depend on a small parameter, which is difficult to be found for real-life nonlinear
Varedi, S. M., Ganji, D. D., Rajabi, M.
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A theoretical study on the melting of a finite slab with a pulsed laser
Optik, 2009Calculations of the spatial and temporal temperature distributions in the molten layer thickness, the still solid part and in the backward surface of the finite slab were carried out during the irradiation with a pulsed laser. The two-dimensional Laplace integral transform technique has been applied to obtain the mathematical expressions for these ...
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Contribution of slab melting and slab dehydration to magmatism in the Japanese arc
Geochimica et Cosmochimica Acta, 2006T. Hanyu +8 more
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