Convection in rotating annular channels heated from below. Part 2. Transitions from steady flow to turbulence

We report the results of fully three-dimensional numerical simulations of nonlinear convection in a Boussinesq fluid in an annular channel rotating about a vertical axis with lateral no-slip or stress-free sidewalls, stress-free top and bottom, uniformly heated from below, a problem first studied by Davies-Jones and Gilman (1971 Davies-Jones, RP and Gilman, PA. 1971. Convection in a rotating annulus uniformly heated from below.. J. Fluid Mech., 46: 65–81.  [Google Scholar]) and Gilman (1973 Gilman, PA. 1973. Convection in a rotating annulus uniformly heated from below. Part 2. Nonlinear results. J. Fluid Mech., 57: 381–400.  [Google Scholar]). A substantial range of the Rayleigh number R (R_c≤R≤O(100 R_c)), where R_c denotes the critical value at the onset of convection) is considered. It is found that the wall-localized convection mode, unaffected by the velocity boundary condition imposed on the sidewalls, is nonlinearly robust. Both directions of travelling waves, one propagating against the sense of rotation near the outer sidewall and the other propagating in the same sense as the rotation in the vicinity of the inner sidewall, are always present in the nonlinear solutions. In contrast to nonlinear convection in a rotating Bénard layer, neither convection rolls nor the Küpper–Lortz instability can exist in a rotating annular channel because of the effect of the sidewalls. It is the nonlinear interaction between the wall-localized modes and the internal mode that plays an essential role in determining the nonlinear properties of convection in a rotating annular channel. Our studies reveal systematically the various nonlinear phenomena, from steady travelling waves trapped in the vicinities of the sidewalls to convective turbulence exhibiting columnar structure.     

Instability of flows near the onset of convection in a rotating layer with stress-free horizontal boundaries

We investigate instability of convective flows of simple structure (rolls, standing and travelling waves) in a rotating layer with stress-free horizontal boundaries near the onset of convection. We show that the flows are always unstable to perturbations, which are linear combinations of large-scale modes and short-scale modes, whose wave numbers are close to those of the perturbed flows. Depending on asymptotic relations of small parameters α (the difference between the wave number of perturbed flows and the critical wave number for the onset of convection) and ε (ε² being the overcriticality and the perturbed flow amplitude being O(ε)), either small-angle or Eckhaus instability is prevailing. In the case of small-angle instability for rolls the largest growth rate scales as ε^8/5, in agreement with results of Cox and Matthews (Cox, S.M. and Matthews, P.C., Instability of rotating convection. J. Fluid. Mech., 2000, 403, 153–172) obtained for rolls with k = k _c . For waves, the largest growth rate is of the order ε^4/3. In the case of Eckhaus instability the growth rate is of the order of α².     

Convection in rotating annular channels heated from below. Part 1. Linear stability and weakly nonlinear mean flows

Convection in a Boussinesq fluid in an annular channel rotating about a vertical axis with lateral rigid sidewalls, stress-free top and bottom, uniformly heated from below is investigated. The sidewalls are assumed to be either perfectly insulating or conducting. Three different types of convection are identified when the channel is rotating sufficiently fast: (i) global oscillatory convection preferred for small Prandtl numbers in channels with intermediate or large aspect ratios (width to height ratio), (ii) wall-localized oscillatory convection representing the most unstable mode for moderate or large Prandtl numbers in channels with intermediate or large aspect ratios and (iii) global stationary convection preferred in channels with sufficiently small aspect ratios regardless of the size of the Prandtl number. The corresponding weakly nonlinear problem describing differential rotation and meridional circulation is also examined, showing that geostrophic, multiple-peaked (two prograde and two retrograde) differential rotation can be maintained by the Reynolds stresses in wall-localized convective eddies in a rapidly rotating channel.     

Catchment storm runoff modelling using the geomorphologic instantaneous unit hydrograph

A lumped empirical model, the Geomorphologic Instantaneous Unit Hydrograph (GIUH) rainfall-runoff model, is developed for the Can Le catchment in the upstream region of the Sai Gon river Basin (Vietnam). This model can serve to simulate catchment runoff into the Dau Tieng Reservoir and can be used as a flood forecasting tool for the ungauged Can Le catchment. The GIUH couples geomorphology and hydrology quantitatively. The obtained Unit Hydrograph is based on Horton's morphometric parameters; bifurcation, length and area ratios. A new functionality within the ILWIS GIS-RS package, namely ‘DEM-hydro processing’, is applied to effectively process a Digital Elevation Model to extract these ratios from the drainage network. To supplement the limited field data available, various satellites images have been used such as ASTER, SRTM (Shuttle Radar Topography Mission) and METEOSAT 5. A short field campaign to collect missing ground data was executed between September and October 2005. The data collected included discharge (and stage – discharge curve), meteorological data, soil, land use information that are used for paramerisation, calibration and validation of the GIUH. The model was successfully applied for the Can Le catchment. Using the Horton's morphometric parameters derived from the DEM with estimated overland and stream flow velocities, the model is easy-to-use.     

吉林苇厦子金矿床地质特征及深部找矿远景

通过对苇厦子金矿床地质特征及其矿体产出规律的分析,总结了地层、构造、岩浆对成矿的控制作用,为本矿床深部探矿提供了依据。     

城市地铁深基坑开挖实测与数值模拟分析

城市地铁施工中由于周边环境复杂,基坑开挖引起的土层扰动,可能会造成建筑物及地下管线破坏,甚至引起基坑失稳。以某地铁深基坑工程为背景,借助FLAC3D,建立了基坑开挖计算模型。现场实测与模型计算结果表明,计算值和实测值基本吻合,采用的计算模型可以近似模拟实际开挖过程。通过改变模型参数,研究了围护桩刚度、锚索倾角及锚索位置对围护体系受力和变形的影响,得出一些有益的结论,为保证城市深基坑开挖周边环境及围护结构安全,提供一定的参考。     

构造叠加晕研究在平度市大庄子金矿床深部找矿中的应用及探讨

通过对平度市大庄子金矿床矿床特征和地球化学特征的分析,论述了矿区构造叠加晕特征：大庄子金矿床具有多期多阶段叠加成矿成晕以及多种形式叠加的特点。根据其叠加晕特征,建立了大庄子金矿床深部第二富集带预测及构造叠加晕理想模式,确定了矿区深部盲矿预测标志以及找矿标志,并提出预测靶位,且在预测靶位取得了良好的找矿效果。     

地连墙与自凝灰浆防水墙组合防渗新技术的应用及分析

地连墙与自凝灰浆防水墙配套使用是一种新型的深基坑支护形式,相对传统的基坑支护形式具有经济节约和防渗效果佳等优点。结合南京华新城AB地块深基坑工程应用实例,根据其复杂的工程特点,从防渗、力学性能、造价等方面论证了地连墙与自凝灰浆防渗墙配套使用的可行性及优点,并结合工程实际对自凝灰浆防渗墙的施工工艺和技术要点做了详细的介绍。     

大口径深孔钻具选用原则及建议

为了适应深孔钻探的需要,减少孔内事故的发生,阐述了深孔钻具的选用原则,对钻铤、钻杆、转换接头、方钻杆的选用方法进行了具体介绍,并就经常遇到的钻柱切口问题、临界钻压和转速问题提出了建议,为施工单位进行合理的钻具选用和组合提供了参考。     

深部找矿钻探施工工艺与方法

介绍了在老矿区深部进行找煤所采用的工艺与方法,即在采空煤层井段采用风动潜孔锤钻进方法进行施工,在钻穿采空煤层后在深部采用绳索取心钻进方法施工。对施工中遇到的技术问题所采用的方法及取得的经验与教训进行了阐述。