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.     

残余位移反应谱的参数影响研究

从PEER强震数据库中选取4类场地的320条地震动记录作为输入,采用BISPEC程序对非线性单自由度（SDOF）体系（周期T=0.05—5s）进行非线性时程分析,得到相应的残余位移反应谱（Dres）,进而研究地震动特性和恢复力模型动力参数对Dres的影响,得到如下结论：①Dres谱值随震级和PGA的增加而增大;其他设防烈度的Dres可由PGA其他与PGA基准之比调整基准烈度的Dres得到。②场地土较硬时,场地类型对Dres的影响较小;场地土较软时,Dres谱值随土质的变软而增大。③当位移延性比μ较小时,屈服后刚度比η对Dres的影响可忽略;但当μ较大时,Dres谱值随η的增加而减小。另外,Dres谱值还随阻尼比ξ的增加而减小。④随着T或μ的增大,Dres谱值均呈递增趋势;但当μ>3后,μ对Dres谱值的影响有所下降。     

不同方案求解非线性化学动力学方程组的比较

在一个简化的气相化学模式的基础上,比较了Hybrid、QSSA、Sklarew三种计算方案求解非线性化学动力学方程组的差异,并引入误差分配和线性组合两种质量守恒技术,分析它们对模拟结果的影响。研究结果表明：不同方案对有机烃类浓度的计算几乎没有影响,但对其它气态物浓度有一定的影响。用QSSA和Slarew方案预测的结果更为相近,而采用Hybrid方案得到的气态物浓度的平衡时间略为提前。从计算效率来看,QSSA方案优于其它两种方案,两种质量守恒技术均能改善模拟结果。     

A study on the nonlinear stability of fronts in the ocean on a sloping continental shelf

1.IntroductionArnol'd(1965,1969)variationalprincipleandapriorestimatemethodisessentiallyageneralizationofLyapunovstabilitymethodforfinite--dimensionaldynamicalsystemsininfinite--dimensionalones,andhestudiedthenonlinearstabilityof2--dimensionalincompressibleidealfluidmotionbyuseofthismethod,andestablishedtwotheoremswhichareArnol,d'sfirsttheoremandArnol'd'ssecondtheorem.Eversincethe1980's,manyscientistshavebeenworkingonthissubject,Holmetal.(1985);MclntyreandShepherd(1987);Zeng(1989);Muetal.(1…     

Geotechnical design with apparent seismic safety factors well-bellow 1

The paper demonstrates that whereas often in seismic geotechnical design it is not realistically feasible to design with ample factor of safety against failure as is done in static design, an “engineering” apparent seismic factor of safety less than 1 does not imply failure. Examples from slope stability and foundation rocking illustrate the concept. It is also shown that in many cases it may be beneficial to under-design the foundation by accepting substantial uplifting and/or full mobilization of bearing capacity failure mechanisms.     

固溶体矿物的性质对计算河南西峡红柱石矿形成条件的影响

自然界的大多数造岩矿的是由两种或多种组分混合而成的固溶体。因此，在矿物，岩石和矿床等地质体的平衡热力学研究中不可避免地要涉及固溶体矿物热力学地为的问题。河南省西峡县杨乃沟红柱石矿泥质片岩中仅出现红柱石而没有蓝晶石和夕线石，红柱石矿物包裹体测温结果为420－600℃。通过矿物共生平衡p-t曲线所计算出的片岩形成温度和压力条件也应位于上述岩石学和岩相学等特征所限定的范围内。以此为基础，通过构筑矿物共生p-t平衡曲线的方法，对片岩中若干固溶体矿物理想性／非理想性问题进行了研究。其中斜长石必须以非理想固溶体处理，而石榴子石，黑云母和白云母视作理想固溶体的计算结果同片岩的岩石学和岩相学等特征相一致。     

非线性洋面温度反演

本文从辐射方程出发，简述洋面温度与亮度温度之间的非线性关系，进行非线性洋面温度反演的方案设计，用正演算法 计算出非线性洋面温度反演公式的回归系数，对样进行检验。     

钛白废液的治理与综合利用硫酸钾溶解平衡的热力学研究

本文应用热力学基本原理和方法研究硫酸钾溶解平衡,结果表明,硫酸钾在纯水中的溶解度随温度变化符合前人总结的实验规律,而在４３℃的钛白废水液液中硫酸钾有反常深 现象,这为确定硫酸钾结晶析出的最佳温度提供了热力学依据,通过热力学计算,论证了硫酸钾溶解平衡符合势学基本原理。     

中国三峡地区汛期降水量的正态性研究

为了分析三峡地区降水量序列的正态性和谱结构,对降水量的常见各种变换进行试验性研究。试验包括单站降水量、降水量的平方根、立方根和Γ分布概率值等非线性变换,以及级别变换。研究区域多站平均降水量、区域降水量的主分量、区域降水量的非线性变换后的主分量和区域降水量的级别变换后的主分量等序列。研究发现三峡地区单站降水量的各种变换不改变序列原始谱结构,仅影响概率分布的偏度和峰度,使其较好地遵从正态分布,其中以Γ分布的变换以及级别变换在分布的偏度上为最好。 区域降水量的各种变换的综合指数(区域平均值和主分量)正态性及谱结构分析表明,除区域平均值变换后不改变原单站序列的谱结构外,主分量的综合指数能改变原单站序列的谱结构,同时也影响概率分布的偏度和峰度,使其能较好地遵从正态分布。其中以降水量的立方根和Γ分布概率变换以及级别变换,在分布的偏度上有较好的效果。     

对一个地震突变模型的讨论

本文用非线性力学方法讨论了地震过程的非稳定现象并建立了相应的突变理论模型。文章详细讨论了断层带的本构性质和突变模型中状态变量的选取对地震非稳性的影响，揭示了用突变模型研究地震现象的可行性。