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 article, a numerical model of laminar forced convection heat transfer for microencapsulated phase change material (MPCM) suspensions with constant heat flux is developed.
24 citations
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TL;DR: In this article, a first-order, ordinary differential equation with internal heat generation in a plane wall is derived and the solutions are compared to the results of a computational fluid dynamics analysis.
23 citations
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TL;DR: In this article, the authors study the nonlinear development of oscillatory convective instability in a two-dimensional mushy layer during solidification of a binary mixture and adopt the near-eutectic limit, making the problem analytically tractable using standard perturbation techniques.
Abstract: We study the problem of nonlinear development of oscillatory convective instability in a two-dimensional mushy layer during solidification of a binary mixture. We adopt the near-eutectic limit, making the problem analytically tractable using standard perturbation techniques. We consider also a distinguished limit of large Stefan number, which allows a destabilization of the system to an oscillatory mode of convection. We find that either travelling waves or standing waves can be supercritically stable, depending strongly on the sensitivity of permeability of the mushy layer to variations in the local solid fraction: mushy-layer systems with relatively weak sensitivity are more likely to select travelling waves rather than standing waves in the nonlinear regime. Furthermore, the decrease in permeability is found to promote the subcritical, and hence more unstable, primary oscillatory states. In addition to mapping out the location of different stable oscillatory patterns in the available parameter space, we give the detailed spatio-temporal structure of the corresponding thermal, flow and solid-fraction fields within the mushy layer, as well as the local bulk composition in the resulting eutectic solid.
23 citations
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TL;DR: In this article, a parametric study and an approximation of the exact analytical solution of the Stefan problem in steady periodic regime conditions were presented, and the limits of validity of such a solution were determined evaluating the relative error, which is committed in the determination of the amplitude and the argument of the oscillating component of the bi-phase interface position.
23 citations
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TL;DR: In this paper, the effect of the Stefan number on the stability of unidirectional solidification is investigated, under the simplifying assumption that the solidified material is linear elastic.
23 citations