In this paper we use the Green function method to solve the problem of steady one dimensional flow of an incompressible viscous, electrically conducting fluid through a pipe with partial circular ring cross sec- tion ...In this paper we use the Green function method to solve the problem of steady one dimensional flow of an incompressible viscous, electrically conducting fluid through a pipe with partial circular ring cross sec- tion and one with annular cross section, in the presence of an applied transverse uniform magnetic field, We ob- tain analytic solutions and carry out some numerical calculations of the velocity distribution and induced magnet- ic field.展开更多
The International Linear Collider (ILC), which is based on super-conducting RF acceleration technology, requires the damping rings to provide beams with extremely small equilibrium emittance, and large acceptance to...The International Linear Collider (ILC), which is based on super-conducting RF acceleration technology, requires the damping rings to provide beams with extremely small equilibrium emittance, and large acceptance to ensure good injection efficiency for high-emittance, and high-energy spread beam from the positron source. In order to reduce the cost for ILC damping rings, an alternative lattice which is different from the baseline configuration design has been designed with modified FODO arc cells, and the total quadrupole number has been reduced by half. At the same time, to decrease the total cost involved in constructing access shafts needed to supply power, cryogenics etc. for the wigglers and other systems, the number of wiggler sections is decreased from 8 to 4, and further to 2. This new lattice has been optimized to have a good dynamic aperture. This alternative ILC damping ring lattice design will reduce the cost largely as compared with the baseline design.展开更多
A one-dimensional modified integral equation for electromagnetic scattering from a metallic concentric disc-ring structure is derived by using Fourier expansion and separating the contribution of charge density from c...A one-dimensional modified integral equation for electromagnetic scattering from a metallic concentric disc-ring structure is derived by using Fourier expansion and separating the contribution of charge density from conventional EFIE. In the case of normal incidence, the derived equation is very simple and easy to be solved numerically regardless of the electric dimension of the structure. The comparison between the data of RCS of a disc by using this method and analytical method shows the effectiveness of this approach. Numerical results are also given for current distributions and the scattered fields for a disc-ring structure.展开更多
超大断面隧道(断面面积大于100 m 2)开挖面积大,围岩扰动性强,因此常常需要进行超前支护控制隧道施工安全,管棚注浆加固是一种常见的隧道超前支护方式,其主要通过在隧道围岩上方形成注浆加固圈从而控制围岩应力和变形大小。在进行数值...超大断面隧道(断面面积大于100 m 2)开挖面积大,围岩扰动性强,因此常常需要进行超前支护控制隧道施工安全,管棚注浆加固是一种常见的隧道超前支护方式,其主要通过在隧道围岩上方形成注浆加固圈从而控制围岩应力和变形大小。在进行数值模拟计算过程中,注浆加固圈厚度是计算结果准确的关键。依托渝黔铁路张家山隧道工程,考虑管棚外插角和搭接长度对注浆加固圈厚度的影响,对传统计算公式进行优化,采用FLAC3D对比分析未使用管棚注浆加固和使用管棚注浆加固两种计算工况。结果表明:①优化后的注浆加固圈厚度计算公式与管棚外插角、浆液扩散半径、管棚长度、管棚纵向间距和环向间距5个参数相关,且使用优化后计算公式得到的数值模拟结果与现场监测数据更接近,计算结果更准确;②相较于未使用超前管棚注浆支护,使用超前管棚注浆支护拱顶沉降位移为12.65 mm,减小31.06%;③管棚注浆支护能够降低围岩竖向最大压应力20.72%和最大竖向拉应力44.68%,同时能够降低初期支护结构最大主压应力15.87%和最大主拉应力23.81%;④管棚注浆加固的地表沉降最大值为8.95 mm,较未使用管棚注浆加固减少24.25%;⑤管棚注浆加固效果与浆液扩散半径、管棚外插角和管棚长度呈正相关,与管棚纵向间距和环向间距呈负相关,其中浆液扩散半径影响效果最显著,管棚外插角影响最小。展开更多
文摘In this paper we use the Green function method to solve the problem of steady one dimensional flow of an incompressible viscous, electrically conducting fluid through a pipe with partial circular ring cross sec- tion and one with annular cross section, in the presence of an applied transverse uniform magnetic field, We ob- tain analytic solutions and carry out some numerical calculations of the velocity distribution and induced magnet- ic field.
基金Project supported by the National Natural Science Foundation of China (Grant No 10525525). The author would like to thank Xu G., Qin Q, Jiao Y for their helpful discussions.
文摘The International Linear Collider (ILC), which is based on super-conducting RF acceleration technology, requires the damping rings to provide beams with extremely small equilibrium emittance, and large acceptance to ensure good injection efficiency for high-emittance, and high-energy spread beam from the positron source. In order to reduce the cost for ILC damping rings, an alternative lattice which is different from the baseline configuration design has been designed with modified FODO arc cells, and the total quadrupole number has been reduced by half. At the same time, to decrease the total cost involved in constructing access shafts needed to supply power, cryogenics etc. for the wigglers and other systems, the number of wiggler sections is decreased from 8 to 4, and further to 2. This new lattice has been optimized to have a good dynamic aperture. This alternative ILC damping ring lattice design will reduce the cost largely as compared with the baseline design.
文摘A one-dimensional modified integral equation for electromagnetic scattering from a metallic concentric disc-ring structure is derived by using Fourier expansion and separating the contribution of charge density from conventional EFIE. In the case of normal incidence, the derived equation is very simple and easy to be solved numerically regardless of the electric dimension of the structure. The comparison between the data of RCS of a disc by using this method and analytical method shows the effectiveness of this approach. Numerical results are also given for current distributions and the scattered fields for a disc-ring structure.
文摘超大断面隧道(断面面积大于100 m 2)开挖面积大,围岩扰动性强,因此常常需要进行超前支护控制隧道施工安全,管棚注浆加固是一种常见的隧道超前支护方式,其主要通过在隧道围岩上方形成注浆加固圈从而控制围岩应力和变形大小。在进行数值模拟计算过程中,注浆加固圈厚度是计算结果准确的关键。依托渝黔铁路张家山隧道工程,考虑管棚外插角和搭接长度对注浆加固圈厚度的影响,对传统计算公式进行优化,采用FLAC3D对比分析未使用管棚注浆加固和使用管棚注浆加固两种计算工况。结果表明:①优化后的注浆加固圈厚度计算公式与管棚外插角、浆液扩散半径、管棚长度、管棚纵向间距和环向间距5个参数相关,且使用优化后计算公式得到的数值模拟结果与现场监测数据更接近,计算结果更准确;②相较于未使用超前管棚注浆支护,使用超前管棚注浆支护拱顶沉降位移为12.65 mm,减小31.06%;③管棚注浆支护能够降低围岩竖向最大压应力20.72%和最大竖向拉应力44.68%,同时能够降低初期支护结构最大主压应力15.87%和最大主拉应力23.81%;④管棚注浆加固的地表沉降最大值为8.95 mm,较未使用管棚注浆加固减少24.25%;⑤管棚注浆加固效果与浆液扩散半径、管棚外插角和管棚长度呈正相关,与管棚纵向间距和环向间距呈负相关,其中浆液扩散半径影响效果最显著,管棚外插角影响最小。