Analytical solutions for the equations of motion of a space vehicle during the atmospheric re-entry phase on a 2-D trajectory

A practical and important problem encountered during the atmospheric re-entry phase is to determine analytical solutions for the space vehicle dynamical equations of motion. The author proposes new solutions for the equations of trajectory and flight-path angle of the space vehicle during the re-entry phase in Earth’s atmosphere. Explicit analytical solutions for the aerodynamic equations of motion can be effectively applied to investigate and control the rocket flight characteristics. Setting the initial conditions for the speed, re-entering flight-path angle, altitude, atmosphere density, lift and drag coefficients, the nonlinear differential equations of motion are linearized by a proper choice of the re-entry range angles. After integration, the solutions are expressed with the Exponential Integral, and Generalized Exponential Integral functions. Theoretical frameworks for proposed solutions as well as, several numerical examples, are presented.     

Computation of solitary waves during propagation and runup on a slope

A numerical time-simulation algorithm for analysing highly nonlinear solitary waves interacting with plane gentle and steep slopes is described by employing a mixed Eulerian–Lagrangian method. The full nonlinear free surface conditions are considered here in a Lagrangian frame of reference without any analytical approximations, and thus the method is valid for very steep waves including overturning. It is found that the runup height is crucially dependent on the wave steepness and the slope of the plane. Pressures and forces exerted on impermeable walls of different inclinations (slopes) by progressive shallow water solitary waves are studied. Strong nonlinear features in the form of pronounced double peaks are visible in the time history of pressure and force signals with increasing heights of the oncoming solitary waves. The effect of nonlinearity is less pronounced as the inclination of the wall decreases with respect to the bottom surface.     

The Euro3D data format: A common FITS data format for integral field spectrographs

As integral field spectrographs have become more common around the world and in Europe in particular, the need for a common data format has been recognized. Here, we present the Euro3D format that is adapted as a post‐instrumentalsignature‐removal format for all instruments within the Euro3D network. It follows the FITS standard, and includes several extensions, all of them being binary FITS tables. This article is intended to give a comprehensive overview, but does not attempt to serve as a full definition document. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)     

河南省地热资源开发利用现状及展望

河南省地热资源丰富,在开封、周口、舞阳、济源、南阳盆地以及濮阳凹陷、汤阴地堑有望找到很好的热储层。现已开发的热储层为埋深８００～１３００ｍ的第三系中细砂层,水温４０～５０℃,水质优良。如果加深钻井深度至２０００ｍ,则有望找到７０℃以上的高温地热水,届时省内地热资源开发利用将上一个新台阶,达到供热采暖水平。文中对河南省地热资源的开发利用现状作一简要介绍,并对如何提高开发利用水平和资源保护提出建议。     

基于概率积分法的采动坡体稳定性预测与分析

地下采煤会引起地表沉降、变形,甚至引发山体、河堤滑坡等地质灾害。采动坡体的稳定性研究一直是采矿工程中实际关心的问题。该文首先介绍分析了概率积分法移动变形稳态、动态预测模型以及基于极限平衡理论的单滑面采动坡体稳定性预测模型,提出了使用概率积分法结合Knothe时间函数对采动坡体稳定性进行预测分析的方法,并使用C#及XML Schema语言编制了相关的计算程序。最后,结合一个工程实例对采动坡体稳定性和动态变化过程进行了预测与分析,通过实测数据验证了提出方法的可行性,得出了采动引起的坡体下沉是影响坡体稳定性的主要因素,并提出了在坡体拉伸阶段进行注浆加固的方法。     

边界积分方程用于电阻率Zohdy反演的初步研究

研究利用边界积分方程进行电阻率Ｚｏｈｄｙ反演的有关技术,结果表明在探测区域划分为数千个单元的情况下,为节省正、反演过程中所需要的计算机内存和 ＣＰＵ时间,可采取以下措施：（１）假定电位分块线性变化,可以使节点数目显著减少,这里每一块都包含若干个单元;（２）利用边界积分方程的特点,可事先计算并存储所有必要的边界积分值,供每一步迭代中调用;（３）利用边界积分方程所特有的数值延拓功能,可以进一步减少节点数目．为了说明这些手段的有效性,先给出了一个数值模拟成像结果,它清楚地表明基于边界积分方程的电阻率 Ｚｏｈｄｙ反演是快速而有效的,然后给出一个实测剖面的成像实例,成像结果经钻孔检验正确．     

有关边界层问题中一类奇异积分方程新的存在性结果

对边界层理论新结果中出现的一类奇异积分方程w（t）=∫1 t（1-s）（λ＋λs＋s）/w（s）ds＋（1-t）∫t 0s/w（s）ds,t∈（0,1）进行讨论，并得出了上述方程在λ∈（-1/2,0）上正解存在性的新结果。     

Geomorphological analysis of the morphometric characteristics that determine the volume of sediment yield of Wadi Al-Arja,South Jordan

This study addresses the morphometric variables that determine the sediment yield in Wadi Al-Arja through the analysis of the impact of different morphometric characteristics along the course of the valley on its sediment yield, as well as the analysis of spatial and formal dimensions and morphologies of the basin and its relationship to the sediment yield. The study also addresses the size of variation in the volume of sediment yield of the river tributaries that make up the water network of the valley under the differences of its morphometric and hydrological characteristics. The study found several results, most notably: The classification of Wadi Al-Arja basin according to the hypsometric integral value (72.1%) within an uneven topography, which increases the force of the erosive activity and the size of the sediment yield if the basin was exposed to moist climatic periods. The study also showed the presence of convergence in the intra-spaces between the river tributaries in the water network. This increases the volume of water flows when these tributaries meet with each other and thus increasing their erosive ability and sediment yield.The study also showed the presence of marked variation in the sediment yield of the river tributaries depending on the differences in its morphometric characteristics. The results of the step-wise regression analysis confirmed the importance of the morphometric and hydrological variables, and plant coverage in interpreting the variation in the size of the sediment yield of the river tributaries of different stream order in Wadi Al-Arja basin, where these variables interpreted 43% of the total variation, with statistical significance less than 0.05.     

Blasius方程中临界值的分析估计

证明了流体力学边界层理论中著名的Blasius方程的一个新性质,它在二维平板流的研究中具有重要的作用,由此建立它的积分形式,并给出方程中的临界值βc的分析估计。