scholarly journals Falling Sphere Measurements, 30 to 120 Km

1968 ◽  
pp. 176-189
Author(s):  
L. M. Jones ◽  
J. W. Peterson
Keyword(s):  
Falling Sphere

Wall Effects On the Flow Dynamics of a Rigid Sphere in Motion

2021 ◽  
Author(s):  
Zhi-gang Feng ◽  
Jason Gatewood ◽  
E.E. Michaelides
Keyword(s):  
Hydrodynamic Force ◽  
Rotational Velocity ◽  
Analytical Data ◽  
Particle Diameter ◽  
Immersed Boundary ◽  
Rigid Sphere ◽  
Wall Effects ◽  
Falling Sphere ◽  
Dimensionless Ratio ◽  
Free Falling

Abstract The presence of a wall near a rigid sphere in motion is known to disturb the particle fore and aft flow field symmetry and to affect the hydrodynamic force. An Immersed Boundary Direct Numerical Simulation (IB-DNS) is used in this study to determine the wall effects on the dynamics of a free-falling sphere and the drag of a sphere moving at a constant velocity. The numerical results are validated by comparison to the published experimental, numerical, and analytical data. The pressure and velocity fields are numerically computed when the particle is in the vicinity of the wall; the transverse (lift) and longitudinal (drag) parts of the hydrodynamic force are calculated; its rotational velocity is also investigated in the case of a free-falling sphere. The flow asymmetry also causes the particle to rotate. The wall effect is shown to be significant when the dimensionless ratio of the wall distance to the particle diameter, L/D, is less than 3. The wall effects are more pronounced and when the particle Reynolds number, Re, is less than 10. Based on the computational results, a useful correlation for the wall effects on the drag coefficients spheres is derived in the range 0.75 < L/D < 3 and 0.18 < Re < 10.

High-temperature viscosity measurements of hydrous albite liquid using in-situ falling-sphere viscometry at 2.5 GPa

2006 ◽  
Vol 229 (1-3) ◽  
pp. 2-9 ◽  
Author(s):  
Brent T. Poe ◽  
Claudia Romano ◽  
Christian Liebske ◽  
David C. Rubie ◽  
Hidenori Terasaki ◽  
...  
Keyword(s):  
High Temperature ◽  
Viscosity Measurements ◽  
Falling Sphere

SIGNAL PROCESSING FOR ARCAS FALLING SPHERE PROGRAM

1969 ◽  
Author(s):  
John Dulchinos ◽  
Nicholas J. Guarino
Keyword(s):  
Signal Processing ◽  
Falling Sphere

scholarly journals The Viscosity and Atomic Structure of Volatile-Bearing Melilititic Melts at High Pressure and Temperature and the Transport of Deep Carbon

Minerals ◽  
2020 ◽  
Vol 10 (3) ◽  
pp. 267 ◽  
Author(s):  
Vincenzo Stagno ◽  
Veronica Stopponi ◽  
Yoshio Kono ◽  
Annalisa D’Arco ◽  
Stefano Lupi ◽  
...  
Keyword(s):  
Experimental Data ◽  
High Pressure ◽  
Atomic Structure ◽  
Ex Situ ◽  
X Ray Diffraction ◽  
High Pressure And Temperature ◽  
X Ray ◽  
Falling Sphere ◽  
Basaltic Melts

Understanding the viscosity of mantle-derived magmas is needed to model their migration mechanisms and ascent rate from the source rock to the surface. High pressure–temperature experimental data are now available on the viscosity of synthetic melts, pure carbonatitic to carbonate–silicate compositions, anhydrous basalts, dacites and rhyolites. However, the viscosity of volatile-bearing melilititic melts, among the most plausible carriers of deep carbon, has not been investigated. In this study, we experimentally determined the viscosity of synthetic liquids with ~31 and ~39 wt% SiO2, 1.60 and 1.42 wt% CO2 and 5.7 and 1 wt% H2O, respectively, at pressures from 1 to 4.7 GPa and temperatures between 1265 and 1755 °C, using the falling-sphere technique combined with in situ X-ray radiography. Our results show viscosities between 0.1044 and 2.1221 Pa·s, with a clear dependence on temperature and SiO2 content. The atomic structure of both melt compositions was also determined at high pressure and temperature, using in situ multi-angle energy-dispersive X-ray diffraction supported by ex situ microFTIR and microRaman spectroscopic measurements. Our results yield evidence that the T–T and T–O (T = Si,Al) interatomic distances of ultrabasic melts are higher than those for basaltic melts known from similar recent studies. Based on our experimental data, melilititic melts are expected to migrate at a rate ~from 2 to 57 km·yr−1 in the present-day or the Archaean mantle, respectively.

scholarly journals Stokes' law, viscometry, and the Stokes falling sphere clock

2020 ◽  
Vol 378 (2179) ◽  
pp. 20200214
Author(s):  
Julyan H. E. Cartwright
Keyword(s):  
Clock Synchronization ◽  
History Of Physics ◽  
Theme Issue ◽  
Fluid Medium ◽  
Stokes Drag ◽  
200Th Anniversary ◽  
Falling Sphere ◽  
History Of ◽  
Pendulum Clock

Clocks run through the history of physics. Galileo conceived of using the pendulum as a timing device on watching a hanging lamp swing in Pisa cathedral; Huygens invented the pendulum clock; and Einstein thought about clock synchronization in his Gedankenexperiment that led to relativity. Stokes derived his law in the course of investigations to determine the effect of a fluid medium on the swing of a pendulum. I sketch the work that has come out of this, Stokes drag, one of his most famous results. And to celebrate the 200th anniversary of George Gabriel Stokes’ birth I propose using the time of fall of a sphere through a fluid for a sculptural clock—a public kinetic artwork that will tell the time. This article is part of the theme issue ‘Stokes at 200 (part 2)’.

scholarly journals A Simulation Experiment to Retrieve the Atmospheric Density and Three-Dimensional Wind Field by Double Falling Spheres

Atmosphere ◽  
2020 ◽  
Vol 11 (12) ◽  
pp. 1312
Author(s):  
Yue Wu ◽  
Zheng Sheng ◽  
Xinjie Zuo ◽  
Minghao Yang
Keyword(s):  
Wind Field ◽  
Simulation Experiment ◽  
Middle Atmosphere ◽  
Three Dimensional ◽  
Optimal Solution ◽  
Vertical Wind ◽  
Horizontal Wind ◽  
Atmospheric Density ◽  
Falling Sphere ◽  
Falling Spheres

Falling-sphere sounding remains an important method for in situ determination in the middle atmosphere and is the only determination method within the altitude range of 60–100 km. Traditional single-falling-sphere sounding indicates only the atmospheric density and horizontal wind but not the vertical wind; the fundamental reason is that the equation set for retrieving atmospheric parameters is underdetermined. For tractability, previous studies assumed the vertical wind, which is much smaller than the horizontal wind, to be small or zero. Obtaining vertical wind profiles necessitates making the equations positive definite or overdetermined. An overdetermined equation set consisting of six equations, by which the optimal solution of density and three-dimensional wind can be obtained, can be established by the double-falling-sphere method. Hence, a simulation experiment is designed to retrieve the atmospheric density and three-dimensional wind field by double falling spheres. In the inversion results of the simulation experiment, the retrieved density is consistent with the constructed atmospheric density in magnitude; the density deviation rate does not generally exceed 20% (less than 5% below 60 km). The atmospheric density retrieved by the double-falling-sphere method is more accurate at low altitudes than the single-falling-sphere method. The vertical wind below 50 km and horizontal wind retrieved by double-falling-sphere method is highly consistent with the constructed average wind field. Additionally, the wind field deviation formula is deduced. These results establish the fact that the double-falling-sphere method is effective in detecting atmospheric density and three-dimensional wind.

Sign in / Sign up

Export Citation Format

Share Document