Momentum transport and torque scaling in Taylor-Couette flow from an analogy with turbulent convection

We generalize an analogy between rotating and stratified shear flows. This analogy is summarized in Table 1. We use this analogy in the unstable case (centrifugally unstable flow vs. convection) to compute the torque in Taylor-Couette configuration, as a function of the Reynolds number. At low Reynolds numbers, when most of the dissipation comes from the mean flow, we predict that the non-dimensional torque G = T/ν² L, where L is the cylinder length, scales with Reynolds number R and gap width η, G = 1.46η^3/2(1 - η)^-7/4 R ^3/2. At larger Reynolds number, velocity fluctuations become non-negligible in the dissipation. In these regimes, there is no exact power law dependence the torque versus Reynolds. Instead, we obtain logarithmic corrections to the classical ultra-hard (exponent 2) regimes: G = 0.50 . These predictions are found to be in excellent agreement with avail-able experimental data. Predictions for scaling of velocity fluctuations are also provided. Received 7 June 2001 and Received in final form 7 December 2001     

任意循环的卡诺循环分解的综合讨论

综合讨论了任意循环的两种卡诺循环分解法 ,指出不能采用“串联”分解法来证明任意循环效率的极限 ,但可用这两种分解法来证明克劳修斯等式和不等式 ,同时指出了一些文献在涉及该问题时所存在的不妥之处。     

西部地区工矿区域城市化问题初探

城市化是一种极为普遍的现象 ,矿业地区的城市化研究成果在西部地区非常少见 ,现以云南省东川市为例 ,对其发展的现状特征进行分析研究 ,将其城市化分为两个阶段 ,并揭示西部地区城市化的基本动力、地区差异性等特征 ,可为此类城市的发展提供思路     

关于世行贷款基础教育项目实施效果的调查

世界银行贷款第四个贫困地区基础教育发展项目 ,自 1997年在我国西部贫困地区启动以来 ,取得了实实在在的成效。本文以云南省宣威市“贫四项目”实施效果为对象 ,进行了实事求是的调查与分析     

高中学生的物理成绩的调查与分析

经过两年广泛的调查，对调查结果进行统计，按教育统计学相关分析的计算方法，逐条求出各单元的相应系数。并对量化的部分结果进行了初步分析，指出了高中学生学习物理困难的主要原因，以及进行矫治的初步措施。该调查采集面广，样本大，计算方法科学，量化结果数据可靠，所反映的信息具有一定的代表性，可供中学物理同仁在教学改革中参考。     

基于RL&SM通用夹具系统的主动寻位技术及其实现方法

介绍了RL&SM通用夹具的寻位系统 ,描述了主动寻位与制造信息转换问题 ,提出和实现了相应的控制方法及其系统实现中的关键技术。理论分析与实验结果表明 ,提出的解决方法和技术是可行的 ,为RL&SM通用夹具系统的实际应用奠定了理论基础和技术支持     

The Kissing Triangles: The Aesthetics of Mathematical Discovery

Papert's (1978) appeal to reconsider the power and possibilities of the aesthetic in mathematics learning is often ignored in mathematics education research. This paper begins with the premise, put forth by Dewey (1934), that the aesthetic structures many dimensions of inquiry and experience. In the same way that using particular paintings, musical compositions, or even everyday experiences has been instrumental to attempts by philosophers to understand the aesthetic dimensions of meaning and experience in artistic domains, I propose that analysing a particular encounter with mathematics may help reveal the nature and role of the often nebulous responses of elegance, beauty, and `fit' to which mathematicians lay claim in their mathematical activity. To achieve this, I draw on and adapt the defining features of the aesthetic character of experience set forth by the aesthetician Beardsley (1982). This, in turn, sheds light on the role thataesthetics can play in mathematical inquiry and experience, and provides initial categories and conjectures that can be used to investigate the potential roles of aesthetics in mathematics learning contexts.This revised version was published online in September 2005 with corrections to the Cover Date.     

Constraint Programming and Operations Research: Comments from an Operations Researcher

This paper relates the author's personal experience with constraint programming and gives a personal assessment of the relationships between constraint programming and operations research.