The Eotvos experiment on the verification of equivalence between inertial mass and gravitational mass of a body is famous for its accuracy. A question is, however, can these experimental results be applied to the case...The Eotvos experiment on the verification of equivalence between inertial mass and gravitational mass of a body is famous for its accuracy. A question is, however, can these experimental results be applied to the case of a physical space in general relativity, where the space coordinates could be arbitrary？ It is pointed out that it can be validly applied because it has been proven that Einstein＇s equivalence principle for a physical space must have a frame of reference with the Euclidean-like structure. Will claimed further that such an overall accuracy can be translated into an accuracy of the equivalence between inertial mass and each type of energy. It is shown that, according to general relativity, such a claim is incorrect. The root of this problem is due to an inadequate understanding of special relativity that produced the famous equation E=mc^2, which must be understood in terms of energy conservation. Concurrently, it is pointed out that this error is a problem in Will＇s book, ‘Theory and Experiment in Gravitational Physics＇.展开更多
在海洋重力测量中,厄特沃什(E tv s)改正误差一直是影响测量精度的主要误差源。对测量过程的分析可以发现,原始采集的重力值实际上是经过低通滤波后一段时间内的平均重力变化,而一般的E tv s改正方法计算所得的只是某一时刻的改正值,这...在海洋重力测量中,厄特沃什(E tv s)改正误差一直是影响测量精度的主要误差源。对测量过程的分析可以发现,原始采集的重力值实际上是经过低通滤波后一段时间内的平均重力变化,而一般的E tv s改正方法计算所得的只是某一时刻的改正值,这种差异导致了重力数据精度的下降。针对这种情况,提出了合理的滤波E tv s改正方法,使改正值和重力值达到了完全对应。最后以L&R的S型海洋重力仪的测量数据为例,具体地说明了这种新方法的改正效果。展开更多
剪切稠化流体是一种典型的非牛顿流体,研究气泡在其中的运动特性对优化设备结构、提高反应效率具有重要意义。文中采用流体体积(VOF)法,通过改变Gallilei数(Ga)、E tv s数(Eo)与流变指数(n),对牛顿流体(n=1)及剪切稠化流体(n>1)内气...剪切稠化流体是一种典型的非牛顿流体,研究气泡在其中的运动特性对优化设备结构、提高反应效率具有重要意义。文中采用流体体积(VOF)法,通过改变Gallilei数(Ga)、E tv s数(Eo)与流变指数(n),对牛顿流体(n=1)及剪切稠化流体(n>1)内气泡的形状、尾涡、终端速度和气泡周围液相黏度分布的变化进行了深入的数值研究。结果表明:气泡变形程度和尾涡尺寸随着Ga数或Eo数的增大而增加;剪切稠化效应会阻碍尾涡的形成,减小气泡的尾涡尺寸;气泡周围剪切速率的差异会导致气泡上方及尾部产生高黏度区域,该高黏度区域会随剪切稠化效应的增加而增大;气泡终端速度随Ga数的增大或流变指数n,Eo数的减小而增大。展开更多
文摘The Eotvos experiment on the verification of equivalence between inertial mass and gravitational mass of a body is famous for its accuracy. A question is, however, can these experimental results be applied to the case of a physical space in general relativity, where the space coordinates could be arbitrary？ It is pointed out that it can be validly applied because it has been proven that Einstein＇s equivalence principle for a physical space must have a frame of reference with the Euclidean-like structure. Will claimed further that such an overall accuracy can be translated into an accuracy of the equivalence between inertial mass and each type of energy. It is shown that, according to general relativity, such a claim is incorrect. The root of this problem is due to an inadequate understanding of special relativity that produced the famous equation E=mc^2, which must be understood in terms of energy conservation. Concurrently, it is pointed out that this error is a problem in Will＇s book, ‘Theory and Experiment in Gravitational Physics＇.
文摘在海洋重力测量中,厄特沃什(E tv s)改正误差一直是影响测量精度的主要误差源。对测量过程的分析可以发现,原始采集的重力值实际上是经过低通滤波后一段时间内的平均重力变化,而一般的E tv s改正方法计算所得的只是某一时刻的改正值,这种差异导致了重力数据精度的下降。针对这种情况,提出了合理的滤波E tv s改正方法,使改正值和重力值达到了完全对应。最后以L&R的S型海洋重力仪的测量数据为例,具体地说明了这种新方法的改正效果。
文摘剪切稠化流体是一种典型的非牛顿流体,研究气泡在其中的运动特性对优化设备结构、提高反应效率具有重要意义。文中采用流体体积(VOF)法,通过改变Gallilei数(Ga)、E tv s数(Eo)与流变指数(n),对牛顿流体(n=1)及剪切稠化流体(n>1)内气泡的形状、尾涡、终端速度和气泡周围液相黏度分布的变化进行了深入的数值研究。结果表明:气泡变形程度和尾涡尺寸随着Ga数或Eo数的增大而增加;剪切稠化效应会阻碍尾涡的形成,减小气泡的尾涡尺寸;气泡周围剪切速率的差异会导致气泡上方及尾部产生高黏度区域,该高黏度区域会随剪切稠化效应的增加而增大;气泡终端速度随Ga数的增大或流变指数n,Eo数的减小而增大。
