On the impossibility of mean-field dynamos with some spherical symmetry of the motions

Abstract

A spherical mean-field dynamo model is considered in which both the mean motion and the mean electro-motive force due to fluctuating motions show some spherical symmetry. It is shown that under some reasonable assumptions the magnetic field is bound to decay to zero.     

A review of: “Problems of Solar and Stellar Oscillations. Iau Colloquium No. 66. Edited by D. O. Gough. D. Reidel Publishing Company, 493 pp. Df1195.00/U.S. $84.50 (ISBN 90-277-1554-8). 1983.”

Abstract

The model equations describing two-dimensional thermohaline convection of a Boussinesq fluid in a rotating horizontal layer are known to support multiple instabilities, depending on the values of certain control parameters (Arneodo et al., 1985). Most of these multiple instabilities have already been studied for double or triple diffusive convection, where behaviours ranging from simple steady to irregular motions have been found. Here we consider the one remaining bifurcation mentioned by Arneodo et al. (1985): the interaction between a steady and an oscillatory convection roll when the linear spectrum for a single wavenumber comprises one zero and one pair of purely imaginary eigenvalues. The method of centre manifolds and normal forms is used to derive evolution equations for the amplitudes of the convection rolls close to bifurcation and the behaviours associated with the equations is discussed.     

Finite amplitude convection and magnetic field generation in a rotating spherical shell

Abstract

Finite amplitude solutions for convection in a rotating spherical fluid shell with a radius ratio of η=0.4 are obtained numerically by the Galerkin method. The case of the azimuthal wavenumber m=2 is emphasized, but solutions with m=4 are also considered. The pronounced distinction between different modes at low Prandtl numbers found in a preceding linear analysis (Zhang and Busse, 1987) is also found with respect to nonlinear properties. Only the positive-ω-mode exhibits subcritical finite amplitude convection. The stability of the stationary drifting solutions with respect to hydrodynamic disturbances is analyzed and regions of stability are presented. A major part of the paper is concerned with the growth of magnetic disturbances. The critical magnetic Prandtl number for the onset of dynamo action has been determined as function of the Rayleigh and Taylor numbers for the Prandtl numbers P=0.1 and P=1.0. Stationary and oscillatory dynamos with both, dipolar and quadrupolar, symmetries are close competitors in the parameter space of the problem.     

A local stability analysis of astronomical disks

Abstract

A fifth-order dispersion relation describing the local stability of a differentially rotating flow against small perturbations is derived. Finite viscosity and conductivity and both vertical (parallel to the rotation axis) and radial gradients in density, temperature and pressure are included. A general form is assumed for the equation of state, although this is not exploited in the paper. A number of special cases are studied: with negligible viscosity and conductivity, it is shown that modes can often be separated into two high frequency (modified acoustic), two intermediate frequency (combined inertial and internal waves) and a low frequency mode. In convectively unstable situations the intermediate frequency modes may be replaced by a damped/growing pair of instablities. Various criteria for mode excitation are given. It is shown that viscosity always inhibits instability at very short wavelengths, while non-zero conductivity may destabilize the flow. At intermediate wavelengths viscosity could also play a destabilizing role. A parameter study of the effects of fluctuations in the conductivity shows that it could cause mode excitation under certain circumstances.     

利用部分投影的二维CT旋转中心偏移快速校正

现有的CT重建算法都依赖于转台旋转中心的准确定位,否则会引起重建图像的伪影。目前已有的旋转中心估计方法的共同特点是利用180°或360°的投影数据。获取这些投影,需要比较长的扫描时间,占用比较多的资源。为此,在平行束扫描和扇形束扫描两种情形下,本文提出利用部分视角的投影来对转台旋转中心进行快速定位的方法。在平行束情形,利用物体空间质心与投影空间的质心的对应关系定理,由60°的投影即可准确测量出旋转中心的位置。在扇形束情形,通过将扇形束投影重排成平行束投影,仍可由扇形角再进行60°的投影准确测量出旋转中心的位置。     

On a Physically Realistic Fast Dynamo

As a step towards a physically realistic model of a fast dynamo, we study numerically a kinematic dynamo driven by convection in a rapidly rotating cylindrical annulus. Convection maintains the quasi-geostrophic balance whilst developing more complicated time-dependence as the Rayleigh number is increased. We incorporate the effects of Ekman suction and investigate dynamo action resulting from a chaotic flow obtained in this manner. We examine the growth rate as a function of magnetic Prandtl number Pm, which is proportional to the magnetic Reynolds number. Even for the largest value of Pm considered, a clearly identifiable asymptotic behaviour is not established. Nevertheless the available evidence strongly suggests a fast dynamo process.     

国际油气井钻头进展概述（二）——FuseTek融合钻头与Pexus组合钻头

NOV公司2013年向市场推出FuseTek融合钻头。它将PDC钻头的高钻速与孕镶金刚石钻头的耐磨性结合于一体,适宜于钻进中硬—坚硬、高研磨性地层。FuseTek钻头已广泛应用于刚果、厄瓜多尔、中国、哥伦比亚等国家。应用表明,该新型组合钻头比PDC钻头或牙轮钻头钻进效率提高许多,工作寿命增加1～3倍或更多。Shear Bits公司于2014年推出Pexus组合钻头。该钻头广泛应用于加拿大冰川冰碛物钻进。地层上部硬卵砾石层利用可转动硬质合金齿钻进,下部软砂岩与页岩则运用PDC碎岩。整个冰碛物地层用一个Pexus钻头一钻到底。所述3类组合式钻头（含Kymera钻头）对于未来实现“一个钻头,一口井”的目标有重要意义。     

利用旋转平台模拟双河口羽流相互作用的研究

本文通过旋转平台实验室实验的方法,探讨了双河口情况下两个羽流将如何发生相互作用。在研究中,提出了一种新颖的技术对河口羽流的各切面流场进行测量,来获得河口羽流多个平面的速度场及涡度场,并基于此模拟了双河口羽流系统的准三维结构。通过对不同入流速度下的双河口羽流流场演变过程和内部结构进行了一系列对比研究,以期揭示上游河流的入流如何影响下游河口涡旋的形成及在羽流相互作用情形下各个羽流的演变。实验结果表明:随着上游入流流量的增加,上游羽流形成的沿岸流对下游河口涡旋沿岸迁移的促进和离岸输运的抑制作用将更加显著。特别是在上游入流流量等于或大于下游入流流量的情况下,下游羽流河口涡旋的体积增长明显较单一河口情况放缓。在上游入流流量较大的情况下,下游原有河口涡旋被推向更下游位置,在远离河口的位置形成另一个河口涡旋。在垂直方向上,我们可以观察到高上游入流流量条件下的下游河口涡旋的深度较小,更有利于形成三层流体的情况。本研究对多河口近海流域的营养盐及污染物的输运情况等社会和生态问题的研究有着重要的意义。     

ZDY1200L型履带式全液压坑道钻机的研制

为适应当前煤矿井下小直径浅孔瓦斯抽放钻进的需要,研制了ZDY1200L型履带式全液压坑道钻机。钻机带有履带行走机构,机动性强;液压系统为开式循环双泵系统,采用负载敏感技术,降低系统功耗;具有可快速方便地调整钻孔方位角的转盘;自带电磁起动器及照明灯,使用方便,安全性强,便于钻孔作业和钻机维修。现场试验表明:该钻机操作简单,移动性好,钻进效率高,性能可靠,钻孔定位和稳固快捷方便。     

旋转流体物理实验中见到的大气环流特征

在合适的实验参数下(热力Rossby数R_(OT)=0.1,Taylor数T_a=2.2 ×10~7),在旋转斜压流中,大尺度地形强迫造成低频振荡以及大气环流中的“阻塞”流型。这是由于地形强迫造成的准静止波与行进波的相互作用及共振引起的。地形把波数单一的流动变成多波数的流动。地形强迫使波数减少。