Drag on non-spherical particles in power law non-Newtonian media

The free settling velocity of cylinders and disks falling in quiescent Newtonian and power law liquids has been measured over wide ranges of experimental conditions of the particle Reynolds number (10^− 5–∼300), power law flow behaviour index (0.31–1) and the length-to-diameter ratio, ∼0.4–∼14. The corresponding range of sphericity is 0.62 to 0.86. An existing drag expression which has been tested extensively for spherical particles falling in Newtonian and in power law fluids has been slightly modified here for non-spherical particles. In particular, the use of this drag expression necessitates a knowledge of an equal volume sphere diameter (to evaluate the Reynolds number and drag coefficient) and the ratio of the surface area to the projected area of a non-spherical particle. With these modifications, the approach outlined here reproduces the present and the literature data for a wide range of non-spherical particles including cones, prisms, needles, cylinders settling in both Newtonian and power law fluids with reasonable levels of accuracy.     

Comparative Study of the 2:3 and 3:4 Resonant Motion with Neptune: An Application of Symplectic Mappings and Low Frequency Analysis

The 2:3 and 3:4 exterior mean motion resonances with Neptune are studied by applying symplectic mapping models. The mappings represent efficiently Poincaré maps for the 3D elliptic restricted three body problem in the neighbourhood of the particular resonances. A large number of trajectories is studied showing the coexistence of regular and chaotic orbits. Generally, chaotic motion depletes the small bodies of the effective resonant region in both the 2:3 and 3:4 resonances. Applying a low frequency spectral analysis of trajectories, we determined the phase space regions that correspond to either regular or chaotic motion. It is found that the phase space of the 3:4 resonant motion is more chaotic than the 2:3 one.     

Heterogeneous growth of cordierite in low P/T Tsukuba metamorphic rocks from central Japan

This paper examines the spatial statistics of matrix minerals and complex patterned cordierite porphyroblasts in the low‐pressure, high‐temperature (low P/T) Tsukuba metamorphic rocks from central Japan, using a density correlation function. The cordierite‐producing reaction is sillimanite + biotite + quartz = K‐feldspar + cordierite + water. The density correlation function shows that quartz is distributed randomly. However, the density correlation functions of biotite, plagioclase and K‐feldspar show that their spatial distributions are clearly affected by the formation of cordierite porphyroblasts. These observations suggest that cordierite growth occurred through a selective growth mechanism: quartz adjacent to cordierite has a tendency to prevent the growth of cordierite, whereas other matrix minerals adjacent to cordierite have a tendency to enhance the growth of cordierite. The density correlation functions of complex patterned cordierite porphyroblasts show power‐law behaviour. A selective growth mechanism alone cannot explain the origin of the power‐law behaviour. Comparison of the morphology and fractal dimension of cordierite with two‐dimensional sections from a three‐dimensional diffusion‐limited aggregation (DLA) suggests that the formation of cordierite porphyroblasts can be modelled as a DLA process. DLA is the simple statistical model for the universal fractal pattern developed in a macroscopic diffusion field. Diffusion‐controlled growth interacting with a random field is essential to the formation of a DLA‐like pattern. The selective growth mechanism will provide a random noise for the growth of cordierite due to random distribution of quartz. Therefore, a selective growth mechanism coupled with diffusion‐controlled growth is proposed to explain the power‐law behaviour of the density correlation function of complex patterned cordierite. The results in this paper suggest that not only the growth kinetics but also the spatial distribution of matrix minerals affect the progress of the metamorphic reaction and pattern formation of metamorphic rocks.     

Power spectrum analysis of the timing noise in 18 southern pulsars

Power spectra of the timing noise observed in 18 southern pulsars have been derived using a novel technique, based on the CLEAN algorithm. Most of the spectra are well described by a single- or double-component power-law model. Some of these spectra can be interpreted in the context of one or more of the current timing noise models. The results combined with those obtained from the time-domain analyses of the timing activity in these pulsars are used to assess the viability of the various theoretical models of pulsar timing noise.     

Overview of In-Situ Biodegradation and Enhancement

ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｍｅｄｉａｔｉｏｎｂｙｎａｔｕｒａｌａｔｔｅｎｕａｔｉｏｎ (ＲＮＡ)ｉｓｔｈｅｐｒｅｆｅｒｒｅｄｍｅｔｈｏｄｆｏｒｒｅｍｅｄｉａｔｉｎｇｇｒｏｕｎｄｗａｔｅｒｃｏｎｔａｍｉ ｎａｔｅｄｂｙｔｈｅａｒｏｍａｔｉｃｆｕｅｌｈｙｄｒｏｃａｒｂｏｎｓ ,ｂｅｎｚｅｎｅ ,ｔｏｌｕｅｎｅ ,ｅｔｈｙｌｂｅｎｚｅｎｅ ,ａｎｄｘｙｌｅｎｅ (ＢＴＥＸ)ｅｔｃ .(Ｊｅｆ ｆｒｅｙ ,2 0 0 1) .ＢｕｔｔｈｅｒｅａｒｅｃｅｒｔａｉｎｃｏｎｄｉｔｉｏｎｓｕｎｄｅｒｗｈｉｃｈＲＮＡｉｓｉｎａｄｅｑｕａｔｅ…     

成矿动力系统在混沌边缘分形生长——一种新的成矿理论与方法论(上)

“成矿动力系统在混沌边缘分形生长”理论是笔者将复杂性理论及非线性科学与矿床地质学相结合 ,对中国扬子古陆周缘六个矿集区的基本范式进行长期系统研究所取得的总结性成果。研究指出 ,成矿系统总体上是开放、远离平衡、时空延展的动力学系统。它们具有复杂性和自组织临界性的内禀基本属性 ,并且在混沌边缘分形生长。该理论以“地质作用与时 空结构是一切地质现象的本质与核心”的自然哲学理念作为根本立足点 ,建立起一种具有普适性的理论框架。然后进一步将其具体化为三大组成部分 ,即 ( 1)矿床的动力学属性 ,( 2 )矿床地质学场 ,( 3 )成矿系统的演化。体现了成矿作用 (其核心为成矿作用动力学 )、空间结构 (矿床地质学场 )和时间结构 (成矿系统的演化 )三位一体的整体耦合与交织 ,从而又使该理论具有包容性。在此基础上进而归纳出“成矿动力系统在混沌边缘分形生长”的 5项判定准则以及表征这些准则的 10项相应的动力学行为特征。最后笔者提出“矿质局部活化导致成矿的发生”的命题 ,拟定了“成矿的发生”的重要科学问题 ,以“元胞非线性网络”(CNN)作为复杂性的范式 ,定量揭示成矿的发生 ,并对矿床在混沌边缘作精确定位 ,对“成矿动力系统在混沌边缘”理论作进一步的延伸、深化与发展。该理论在矿?     

拟神经网络反演在煤田中应用

Parker快速富氏变换反演单一密度界面存在两方面问题：一是求解目标界面重力异常难度较大;二是受正演速度及反演参量维数的限制,不能对界面进行精细划分.拟神经网络BP算法的引入,首先解决了快速三维正演问题,又突破了反演参量维数的限制,实现快速收敛,有效解决两个或多个密度界面的反演问题.在实际应用中,先用密度“补偿法”正演求取剩余生力异常,然后利用拟神经网络BP算法同时反演两个二维密度界面,拟合求得两个界面的深度异常,在此基础上预测煤田.     

ERODIBILITY CRITERION FOR AUXILIARY SPILLWAYS OF DAMS

lINTRoDUCTIONDamshavebeendesignedtraditionallynottobeovertoppedduringprobablemaximumfloodevents.AccordingtoPowledgeet.aI.(l989),manytensofthousandsofdamshave,however,becomepotentiallysubjecttoovertoppingasaresuItofimprovementsinthequalityofflooddataandinthemethodsfordeterminingprobablemaximumfloodsforwhichitisnotpossiblenoreconomicallyfeasibletoconsidermodificationstopreventovertopping.SomedamshavemoreoverbeenobservedtohavewithstoodmoderateoveFtopping.Effortshaveasaresultbeenconcentrated…     

乘幂法在地震属性分析中的应用

作者在本文中引入了计算矩阵最大本征值及其对应的本征向量的一种数学计算方法 ,即乘幂法。属性分析中有几项常用技术如第三代相干算法和多属性信息加权处理的综合参数法 ,算法中应用了协方差矩阵本征结构的分析。将算法过程稍加分析整理 ,可发现它们仅仅需要计算最大本征值及对应的本征向量。为了提高计算效率 ,应用乘幂法代替传统使用的雅可比法等方法 ,大大缩短了计算时间 ,而且不影响计算结果的精确性。