简单的情况是半无界固液相变,固体和液体之间的界面用S(t)表示.固体凝固或熔解时,S(t)会产生移动。如图4.9.界面S(t)加位置与温度分布相关,这类问题称为Stefan(斯特芬)问题,富有应用价值.取一维的模型,讨论半无界空间过冷液体的凝固过程.取x= S(t)为固液界面, x< S(t)区...
In this section a critical overview of different formulations of the Stefan problem in spherical coordinates is provided, followed by a brief review of methodologies to obtain the solution. Table 1. Main formulations of Stefan problems with their characteristics and leading author(s). Note that “...
简单的情况是半无界固液相变,固体和液体之间的界面用S(t)表示.固体凝固或熔解时,S(t)会产生移动...
Usually, the Stefan problem is associated to the crystallization of melted solids, in which the energy transfer (heat diffusion) dominates the process. In the present work, the Stefan problem was solved for the crystallization of solutions, i.e., a situation in which mass transfer is the most...
A fractional Stefan’s problem with a boundary convective condition is solved, where the fractional derivative of order α∈ (0, 1) is taken
On Stefan's Problem and Optimal Stopping Rules for Markov Processes On Stefan's problem and oprimal stopping rules for Markov processes GRIGELIONIS B. I. Theory Probab. Appl. 11, 541-558, 1966 BI Grigelionis - 《Teor.veroyatnost.i Primenen》 被引量: 231发表: 1966年 Optimal control of...
Our method is accurate with respect to some exact solutions of the Stefan problem. Results indicate that this method can handle topology changes and complicated interfacial shapes and that it can numerically simulate many of the physical features of dendritic solidification....
B. V. Bazalii and S. P. Degtyarev, “Classical solvability of the multidimensional Stefan problem under convective movement of a viscous incompressible fluid”,Mat. Sb.,132, No. 1, 3–19 (1987). Google Scholar E. V. Radkevich, “On the solvability of nonstationary free boundary problem...
公式简介 斯特凡问题(Stefan problem)一个互相转换 的热传导问题.假定区间a簇xG+二上有一条状冰 块,冰块的温度处处是零度,而在端点x=a处加温 并保持温度为T度,T}0.于是冰块开始融化,对每 一时刻t}0,水将占据区间a镇xGsCt).若以u记水温,于是有 式中a为某个正常数.s 问题(1),