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, an explicit numerical method was developed for the Stefan problem in which a series of solidification rates and boundary temperatures for the solidified material were given and the boundary heat flux was returned.
Abstract: An asymptotic explicit numerical method was developed for the Stefan problem in which a series of solidification rates and boundary temperatures for the solidified material are given and the boundary heat flux is returned. A spectral method with several basis functions of a specialized shape in the solidification problem was adopted. Combined with multi-dimensional computational fluid dynamics methods for the liquid zone, this method is adequate for resolving the thin solidified material problem for a variety of continuous casting processes e.g. thin slab continuous casting, melt-spinning, twin roll casting, and edge-defined film-fed growth. The method is less expensive than conventional numerical methods and as accurate as a direct numerical approach such as the Finite Difference Method especially in the case of the Stefan number � 1 or in the case of variable material properties. [doi:10.2320/matertrans.MRA2007019]
3 citations
TL;DR: In this article, the authors present numerical simulations of solidification in a vertical cylindrical annulus with temporal evolution of three interfaces, i.e., solid liquid, solid gas, and liquid gas with the presence of natural convection.
3 citations
TL;DR: In this paper, a heat management module containing a microencapsulated phase change material (mPCM) was fabricated from mPCM (core material: paraffin; melting temperature: 37 °C) and aluminum honeycomb structures (8 mm core cell).
Abstract: In this study, a heat management module containing a microencapsulated phase change material (mPCM) was fabricated from mPCM (core material: paraffin; melting temperature: 37 °C) and aluminum honeycomb structures (8 mm core cell). The aluminum honeycomb functioned both as structural support and as a heat transfer channel. The thermal management performance of the proposed module under constant-temperature boundary conditions was investigated experimentally. The thermal protection period of the module decreased as the Stefan number increased; however, increasing the subcooling factor could effectively enhance the thermal protection performance. When the cold-wall temperature TC was fixed at 17 °C and the initial hot wall temperature was 47–67 °C, the heat dissipation of the module was complete 140 min after the hot-wall heat supply was stopped. The time required to complete the heat dissipation increased to 280 min when TC increased to 27 °C.
3 citations
TL;DR: In this article, an analytical solution of the ablation of a two-layer composite, which includes an ablative layer and a nonablative substrate, subject to a Gaussian heat flux is presented.
Abstract: Ablation is the most common approach for thermal management for reentry of the spacecraft to the atmosphere. An analytical solution of the ablation of a two-layer composite, which includes an ablative layer and a nonablative substrate, subject to a Gaussian heat flux is presented in this paper. The problem is divided into five stages and the temperature distributions in both layers in the five stages are obtained using an integral approximate method. The locations of ablation interface, thermal penetration depth, and ablation rate are obtained and the effects of Stefan number, subcooling parameter, thickness of the ablative material, and ratio of thermal diffusivities between two materials are investigated.
3 citations
TL;DR: In this article, an algebraic coordinate transformation that transforms an irregular solution domain onto a rectangle is extended to axisymmetric problems by mapping an irregular cross section of the solidified zone onto concentric spheres.
Abstract: Faghri et al. proposed an algebraic coordinate transformation that transforms an irregular solution domain onto a rectangle. In the present work, this method is extended to axisymmetric problems by mapping an irregular cross section of the solidified zone onto concentric spheres. The calculations are performed for the Stefan number in the range of 0.03 to 0.36, and for several values of the dimensionless geometric parameter characterizing the spheroidal capsule. The results are presented in form of the solid-liquid interface shapes and the ratios of the solidification zone volume to the capsule volume.
3 citations