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, a convergence rate of O( n − 1 ) with minor effects at large values of the Stefan number β (slow interface movement) was established for the piecewise linear heat balance integral solution of the moving boundary problem.
10 citations
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TL;DR: In this paper, the authors numerically explored melting of a pure substance with the thermal conductivity of the solid phase, assumed to be anisotropic, using the standard one-phase Gobin-Le Quere melting benchmark.
Abstract: This paper numerically explores melting of a pure substance with the thermal conductivity of the solid phase, assumed to be anisotropic A two-phase test case for such situations is deduced from the standard one-phase Gobin–Le Quere melting benchmark The solution is presented for Prandtl number 0·02, Stefan number 0·01 and Rayleigh number 2·5 × 104 which are specific for metals Three cases are compared in terms of the terminal interface boundary position and average liquid fraction as a function of time for isotropic case and two distinctly oriented principal directions of the thermal conductivity tensor The calculations have been performed by using the one-domain enthalpy formulation with artificial melting interval and the recently developed explicit local radial basis function collocation method (LRBFCM) which belongs to the entirely new generation of meshless methods The results are not sensitive to the increased thermal conductivity of the solid phase in the direction parallel with the he
9 citations
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TL;DR: In this article, a hybrid VoF-IBM method was developed for the simulation of freezing liquid films and freezing drops, which is coupled with the temperature equation to solve the icing front, the dilatation induced by the density difference between the liquid and the ice as well as the drop deformation induced by balance of the surface tension and gravity.
9 citations
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TL;DR: In this paper, the spreading and solidification processes of a molten metal droplet impinging on a heated solid surface are studied theoretically. But unlike the original model, the initial conditions are modeled in the present work at an instant away from the start of impact.
9 citations
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TL;DR: In this article, an apparatus was designed to measure the motion of the mushy zone inside alloys and the effects of cooling condition and physical properties of alloys on the evolution of phase boundaries and mushy zones were discussed.
9 citations