It is shown that Mercury's motion of the perihelion around the Sun, which is believed to be explicable quantitatively only by general relativity, can be fully understood within the frame of the dynamics of special...It is shown that Mercury's motion of the perihelion around the Sun, which is believed to be explicable quantitatively only by general relativity, can be fully understood within the frame of the dynamics of special relativity. It is only necessary to take into consideration the relativistic dependence of the planet's inertial and gravitational masses on its velocity (relative to the Sun) in the conservation equations for energy, and linear and angular momenta in the gravitational field. The physical Problem is reduced to a singular, nonlinear differential equation, which is solved numerically for the planet Mercury. The advance of the perihelion of Mercury is shown to be = 42.087' for a period of 100 years, which is in agreement with the as- tronomical observations and the result (by analytical approximations) of general relativity.展开更多
For homogeneous isotropic turbulence study,the acquisition of band-pass filtered velocity increments(FVI) in a non-forced turbulent box is still a challenge both experimentally and numerically.Turbulence and associate...For homogeneous isotropic turbulence study,the acquisition of band-pass filtered velocity increments(FVI) in a non-forced turbulent box is still a challenge both experimentally and numerically.Turbulence and associated physical processes,at a given instant,are permanently contaminated by a forcing process which can seldom be universal.The situation tends to be the origin of intermittency and the non-Gaussian probability density distribution for acceleration and velocity gradients.To reveal implied mechanism,grid turbulence is adapted to observe non-perturbed homogeneous isotropic turbulence.The velocity increments(VI) can be obtained following Comte-Bellot and Corrsin(GCBC) by means of two point-two time shifted velocity measurements.It is difficult to obtain decaying turbulence(DT) at large turbulent Reynolds number without pollution coming from walls.Nevertheless it is also significant to investigate DT in low Reynolds number regimes to determine non-polluted tendencies.The similarity of DT between particle image velocimetry(PIV) and hot wire anemometry measurements by GCBC are presented.Here we focus our tendency on VI and FVI probability density function(PDF) shapes in this letter.In conclusion,the tendency to Gaussian shape in inertial zone wavenumbers,demonstrates that there will be no intermittency if turbulent cascade is not perturbed.展开更多
文摘It is shown that Mercury's motion of the perihelion around the Sun, which is believed to be explicable quantitatively only by general relativity, can be fully understood within the frame of the dynamics of special relativity. It is only necessary to take into consideration the relativistic dependence of the planet's inertial and gravitational masses on its velocity (relative to the Sun) in the conservation equations for energy, and linear and angular momenta in the gravitational field. The physical Problem is reduced to a singular, nonlinear differential equation, which is solved numerically for the planet Mercury. The advance of the perihelion of Mercury is shown to be = 42.087' for a period of 100 years, which is in agreement with the as- tronomical observations and the result (by analytical approximations) of general relativity.
文摘For homogeneous isotropic turbulence study,the acquisition of band-pass filtered velocity increments(FVI) in a non-forced turbulent box is still a challenge both experimentally and numerically.Turbulence and associated physical processes,at a given instant,are permanently contaminated by a forcing process which can seldom be universal.The situation tends to be the origin of intermittency and the non-Gaussian probability density distribution for acceleration and velocity gradients.To reveal implied mechanism,grid turbulence is adapted to observe non-perturbed homogeneous isotropic turbulence.The velocity increments(VI) can be obtained following Comte-Bellot and Corrsin(GCBC) by means of two point-two time shifted velocity measurements.It is difficult to obtain decaying turbulence(DT) at large turbulent Reynolds number without pollution coming from walls.Nevertheless it is also significant to investigate DT in low Reynolds number regimes to determine non-polluted tendencies.The similarity of DT between particle image velocimetry(PIV) and hot wire anemometry measurements by GCBC are presented.Here we focus our tendency on VI and FVI probability density function(PDF) shapes in this letter.In conclusion,the tendency to Gaussian shape in inertial zone wavenumbers,demonstrates that there will be no intermittency if turbulent cascade is not perturbed.
