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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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Book ChapterDOI
01 Jan 1988
TL;DR: In this article, numerical and experimental investigations of a capsule-type latent heat exchanger are considered, where the storage medium was a mixture of paraffin wax and aluminum shavings which occupied three percent of the mixture's volume.
Abstract: In this study, numerical and experimental investigations of a capsule-type latent heat exchanger are considered. The storage medium was a mixture of paraffin wax and aluminum shavings which occupied three percent of the mixture's volume. The improvement in the thermal conductivity of the mixture caused by the present of the aluminum shavings was examined experimentally. The thermal performance of a capsule-type latent heat exchanger was evaluated numerically. The results are presented in the form of NTU-effectiveness charts. The design parameters are presented in terms of the Biot number and the Stefan number.
Journal ArticleDOI
TL;DR: In this article, the melting of ice around a horizontal cylinder of constant heat flux has been studied numerically and the results showed that due to the combined effect induced by the density anomaly of water and the temporal and circumferential variations of the cylinder surface temperature, several different flow structures and the resulting melting patterns were predicted to be quite different from those reported for isothermal boundary conditions.
Abstract: Melting of ice around a horizontal cylinder of constant heat flux has been studied numerically. Computations were performed for modified Stefan number Ste*=0.1, 0.3, 0.4, and 0.5 with modified Rayleigh number Ra* ranging from 104 to 107. Due to the combined effect induced by the density anomaly of water as well as the temporal and circumferential variations of the cylinder surface temperature, several different flow structures and the resulting melting patterns were predicted to be quite different from those reported for isothermal boundary conditions.
Proceedings Article
23 Sep 2011
TL;DR: In this article, a finite difference approach to spherical and cylindrical phase change problem with periodic boundary condition is established by using an invariant-space-grid method, and the effects of the Stefan number, the amplitude and frequency of periodically oscillating surface temperature on the motion of the moving interface and the temperature distribution are analyzed.
Abstract: A finite difference approach to spherical and cylindrical phase change problem with periodic boundary condition is established by using an invariant-space-grid method The motion of the moving interface and the temperature field are simulated numerically Also the effects of the Stefan number, the amplitude and frequency of the periodically oscillating surface temperature on the motion of the moving interface and the temperature distribution are analyzed Numerical experiments show that, for given amplitude and frequency, the Stefan number strongly influences the temperature distribution and the evolution of the moving interface, while the effect of the oscillating boundary temperature on the evolution of the moving interface is more pronounced when the phase change domain is small and diminishes as the domain grows And comparing with spherical phase change, cylindrical phase change is influenced more strongly by the Stefan number
Journal ArticleDOI
Chuanshan Dai1
TL;DR: In this article, two new methods for correlating experimental data of Rayleigh-Benard convection in a fluid layer dispersed with phase-change-material particles have been proposed, which are more rational comparing with the convectional 1/2-height rule method.
Abstract: Two new methods for correlating experimental data of Rayleigh-Benard convection in a fluid layer dispersed with phase-change-material particles have been proposed. Instead of the conventional arithmetic mean temperature method, two new methods for evaluating the intensity of convection in a horizontal fluid layer with strongly temperature-dependent specific heat were given. One method is by introducing a modified Stefan number in a Nu-Ra correlation or using the integrally averaged specific heat across the layer for calculating the Rayleigh number. The other method is by using the supercriticality (Ra/Rac) as an intensity parameter, in which the critical Rayleigh number Rac can be calculated by using the linear stability theory. Two models of non-dimensionalized apparent specific heat functions with respect to temperature were introduced. Results show that the two proposed methods are more rational comparing with the convectional 1/2-height rule method.
04 Apr 1990
TL;DR: In this article, a regular perturbation to this solution was constructed for a downward growing axisymmetric dendrite, based on the smallness of a buoyancy parameter G, to examine the effects of buoyant flow on the solidification.
Abstract: : In solidification, when the process is limited by diffusion of released latent heat or solute, often the two-phase interface forms finger-like shapes called dendrites, whose tips are nearly paraboloidal in form. For a pure material solidifying into an undercooled melt, if surface energy and gravity are negligible, a well-known solution due to Ivantsov (1947) describes the steady growth with a paraboloidal interface. We construct a regular perturbation to this solution for a downward growing axisymmetric dendrite, based on the smallness of a buoyancy parameter G, to examine the effects of buoyant flow on the solidification. The analytic solution predicts that generally the buoyancy enhances growth and changes the shape of the interface, giving a sharper tip and wider base. These effects depend strongly on the Prandtl number, and also on the Stefan number (undercooling). The results compare will with the experiments of Huang and Glicksman (1981) up to G 5000, but over predict convective effects for higher G.
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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
20224
202136
202033
201929
201819
201726