Topic
Stefan number
About: Stefan number is a research topic. Over the lifetime, 482 publications have been published within this topic receiving 32056 citations.
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TL;DR: In this paper, evaporation of a liquid drop spreading on hot surface, based on the lattice Boltzmann method, is simulated Liquid and gas phases are considered to be incompressible The divergence-free condition of the velocity field is no longer satisfied since the phase change occurs at the interface.
14 citations
TL;DR: In this paper, the effect of the other constraints of the enclosure which are the top and bottom walls was then studied, and it was shown that tilting the top wall outwards generally accelerates heat transfer and latent heat storage due to beneficial alterations to natural convection within the molten PCM; whereas tilting bottom wall has negligible effect.
14 citations
TL;DR: In this paper, the authors studied the role played by supercooling in the solidification of binary alloys appearing in such applications and compared the results with both numerical simulations and real experimental data arising from the casting of molten metallurgical grade silicon through the water granulation process.
Abstract: We study the extended Stefan problem which includes constitutional supercooling for the solidification of a binary alloy in a finite spherical domain. We perform an asymptotic analysis in the limits of large Lewis number and small Stefan number which allows us to identify a number of spatio-temporal regimes signifying distinct behaviours in the solidification process, resulting in an intricate boundary layer structure. Our results generalise those present in the literature by considering all time regimes for the Stefan problem while also accounting for impurities and constitutional supercooling. These results also generalise recent work on the extended Stefan problem for finite planar domains to spherical domains, and we shall highlight key differences in the asymptotic solutions and the underlying boundary layer structure which result from this change in geometry. We compare our asymptotic solutions with both numerical simulations and real experimental data arising from the casting of molten metallurgical grade silicon through the water granulation process, with our analysis highlighting the role played by supercooling in the solidification of binary alloys appearing in such applications.
14 citations
TL;DR: In this paper, a double-diffusive flow between two different materials inside a porous infinite-shaped enclosure suspended by a nano-encapsulated phase change material (NEPCM) is simulated.
14 citations
TL;DR: In this paper, a model of evaporation phase change contained within a three-fluid system is developed based on the ternary Cahn-Hilliard equations, and an axisymmetric model employing a hybrid LB-FD (lattice Boltzmann-finite difference) method is established, and the model and code are validated by two classical problems.
14 citations