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, theoretical solutions for the quasi-steady and time-dependent regimes of melting in the presence of natural convection in an enclosed phase-change material heated from the side are presented.
19 citations
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TL;DR: In this paper, the Coupled Integral Equation approach for solving phase change problems of semi-infinite medium is extended to develop an approximate analytic solution for melting or solidification in a slab of finite thickness subjected to a time-varying prescribed temperature at one surface and a constant prescribed temperature on the other.
Abstract: The recently advanced Coupled Integral Equation approach for solving phase-change problems of semi-infinite medium is extended to develop an approximate analytic solution for melting or solidification in a slab of finite thickness subjected to a time-varying prescribed temperature at one surface and a constant prescribed temperature at the other. The accuracy of the analytic expressions obtained in this manner is examined by comparing the present results to those reported in the literature. The influence of physical parameters such as the Stefan number and the applied surface temperature on the interface position and boundary heat fluxes is examined.
19 citations
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TL;DR: In this paper, the effect of radial thermal gradients inside T-history samples on the enthalpy temperature curve measurement is analyzed and some expressions have been obtained that relate the main dimensionless numbers of the experiments with the deviations in specific heat capacity, phase change entalpy and phase change temperature estimations.
Abstract: The present work analyses the effect of radial thermal gradients inside T-history samples on the enthalpy temperature curve measurement. A conduction heat transfer model has been utilized for this purpose. Some expressions have been obtained that relate the main dimensionless numbers of the experiments with the deviations in specific heat capacity, phase change enthalpy and phase change temperature estimations. Although these relations can only be strictly applied to solid materials (e.g. measurements of shape stabilized phase change materials), they can provide some useful and conservative bounds for the deviations of the T-history method. Biot numbers emerge as the most relevant dimensionless parameters in the accuracy of the specific heat capacity and phase change enthalpy estimation whereas this model predicts a negligible influence of the temperature levels used for the experiments or the Stefan number.
19 citations
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TL;DR: In this paper, a numerical analysis has been carried out to investigate the two-phase solidification process in continuous castings and an effective heat capacity method is used for this purpose.
Abstract: A numerical analysis has been carried out to investigate the two-phase solidification process in continuous castings. An effective heat capacity method is used for this purpose. The radiation heat transfer at the mold metal interface was taken into account. The results of this method match well with the results obtained by analytical methods. The investigation included the ranges of mold cooling rate Bi 2 , inlet temperature θ 0 , and Peclet number Pe from 0.1-0.5, 1.2-2.0, and 0.1-1.0, respectively. A constant Stefan number Ste of 2.5 was used. It is observed that the solidification process is delayed with the increase of the withdrawal speed and with the increase of the liquid metal inlet temperature. With increased withdrawal speed, the region with temperature gradient moves downward. Steep axial temperature gradient was observed in the cast metal in the mold region.
19 citations
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TL;DR: In this paper, an exergy-based analysis of two-dimensional solid-liquid phase change processes in a square cavity enclosure is considered, and the radiation exergy loss in the medium and at the enclosure boundary is taken into consideration.
18 citations