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 theoretical investigation of the process of free convection melting of a solid slab by an overlying hot liquid pool is made, and the dependence of the melting rate on various controlling parameters, including the Grashof number based on the pool-to-substrate density ratio, the external Stefan number and the internal Stefan number, are obtained by matching the boundary layer solution and the turbulent core solution in the region of overlap.
3 citations
27 Jul 1997
TL;DR: In this article, the effects of the inner wall temperature variation within cylindrical or spherical capsules were analyzed and simple approximate equations were presented, which facilitates designing of the practical capsule bed LHTES systems.
Abstract: Melting and solidification of a phase change material (PCM) in a capsule is of practical importance in latent heat thermal energy storage (LHTES) systems which are considered to be very promising to reduce a peak demand of electricity in the summer season. Two melting modes are involved in melting in capsules. One is close-contact melting between the solid bulk and the capsule wall, and another is natural convection melting in the liquid region. Close-contact melting processes for a single enclosure have been solved using several numerical methods (e.g. Saitoh and Kato (1994)). However, there is no theoretical solution considering the inner wall temperature variation within cylindrical or spherical capsules. In this report close-contact melting heat transfer characteristics including melt flow in the liquid film under inner wall temperature distribution were analysed and simple approximate equations are presented, which facilitates designing of the practical capsule bed LHTES systems. The effects of the Stefan number and variable temperature profile etc., were clarified in detail. The melting velocity of the solid bulk under various conditions was also studied theoretically. In addition the effects of variable inner wall temperature on molten mass fraction were investigated.
3 citations
TL;DR: In this article, a linear spatio-temporal stability analysis is conducted for the ice growth under a falling water film along an inclined ice plane, and the full system of linear stability equations is solved by using the Chebyshev collocation method.
Abstract: A linear spatio-temporal stability analysis is conducted for the ice growth under a falling water film along an inclined ice plane. The full system of linear stability equations is solved by using the Chebyshev collocation method. By plotting the boundary curve between the linear absolute and convective instabilities (AI/CI) of the ice mode in the parameter plane of the Reynolds number and incline angle, it is found that the linear absolute instability exists and occurs above a minimum Reynolds number and below a maximum inclined angle. Furthermore, by plotting the critical Reynolds number curves with respect to the inclined angle for the downstream and upstream branches, the convectively unstable region is determined and divided into three parts, one of which has both downstream and upstream convectively unstable wavepackets and the other two have only downstream or upstream convectively unstable wavepacket. Finally, the effect of the Stefan number and the thickness of the ice layer on the AI/CI boundary curve is investigated.
3 citations
TL;DR: A semi-analytic solution for the solidification of laminar circular Couette flow within a one-dimensional annular region with a rotating outer cylinder and stationary inner cylinder is presented in this paper.
3 citations
TL;DR: In this article, a thermal phase-field model constructed in the thin interface limit and incorporating a number of advanced numerical techniques such as adaptive mesh refinement, implicit time stepping, and a multigrid solver has been used to study the isolated diffusive melting of dendritic fragments.
Abstract: A thermal phase-field model constructed in the “thin-interface” limit and incorporating a number of advanced numerical techniques such as adaptive mesh refinement, implicit time stepping, and a multigrid solver has been used to study the isolated diffusive melting of dendritic fragments. The results of the simulations are found to be fully consistent with the experimental observation of such melting in microgravity during the Isothermal Dendrite Growth Experiment. It is found that the rate at which the ratio of semi-major to semi-minor axes changes is a function of the melt Stefan number, which may help explain why both melting at (approximately) constant ratio and melting at slowly increasing ratio have been observed.
2 citations