Transport Equations of Electrodiffusion Processes in the Laboratory Reference Frame

2006 ◽  
Vol 110 (7) ◽  
pp. 3276-3280 ◽  
Author(s):  
Javier Garrido
Keyword(s):  
Reference Frame ◽  
Transport Equations ◽  
Laboratory Reference ◽  
Laboratory Reference Frame

Time-dependent force acting on a particle moving arbitrarily in a rotating flow, at small Reynolds and Taylor numbers

2008 ◽  
Vol 608 ◽  
pp. 319-336 ◽  
Author(s):  
FABIEN CANDELIER
Keyword(s):  
Reference Frame ◽  
Solid Sphere ◽  
Single Frequency ◽  
Rotating Fluid ◽  
Temporal Expression ◽  
Inertia Effects ◽  
Rotating Reference Frame ◽  
Laboratory Reference ◽  
Laboratory Reference Frame ◽  
Unsteady Effects

The arbitrary motion of a solid sphere released in a solid-body rotating fluid is investigated theoretically in the limit of small Reynolds and Taylor numbers. The angular velocity of the fluid is assumed to be constant and under the premise that Ta1/2 ≫ Re, the simplicity of the unperturbed flow enables us to calculate analytically the force acting on a particle moving with a harmonic slip velocity (by means of matched asymptotic expansions), when both inertia and unsteady effects are taken into account. Subsequently, these single-frequency results are used in order to determine the temporal expression of the force acting on an arbitrarily moving sphere, since the problem under study is linear. This force is first determined in a co-rotating reference frame and takes the form of two convolution products involving the particle acceleration and the particle velocity. For convenience, the corresponding expression of this force is also derived in the laboratory reference frame, and the particle motion equation obtained is thereafter illustrated by dealing with two practical situations, where unsteady and inertia effects must be taken into account to predict the particle dynamics accurately.

scholarly journals Radial Pump Impeller Measurements Using a Laser Doppler Velocimeter

1980 ◽  
Author(s):  
H. Kannemans
Keyword(s):  
Laser Doppler ◽  
Low Flow ◽  
Laser Doppler Velocimeter ◽  
Viscous Effects ◽  
Pump Impeller ◽  
Flow Rates ◽  
Laboratory Reference ◽  
Laboratory Reference Frame ◽  
Radial Pump ◽  
Good Agreement

A shrouded fully transparent radial pump impeller with thin backswept blades has been tested using a laser doppler velocimeter. Two components of the velocity were measured relative to the laboratory reference frame in a plane perpendicular to the axis of rotation. The velocity distribution is presented relative to the blades at different radii and different flow rates over the whole blade passage. The results show that the flow is essentially unsteady and, at low flow rate, highly influenced by viscous effects. A comparison between the experimental data and a potential flow theory shows good agreement at high flow rates.

Hydrodynamic properties of dissipative fluids associated with tilted observers

2019 ◽  
Vol 34 (40) ◽  
pp. 1950333 ◽  
Author(s):  
Z. Yousaf
Keyword(s):  
Reference Frame ◽  
Gravitational Collapse ◽  
Transport Equations ◽  
Planar Geometry ◽  
Hydrodynamic Properties ◽  
Gravitational Effects ◽  
Relativistic Systems ◽  
Dynamical Properties ◽  
Dissipative Fluids

In this paper, we study the importance of configurations of the observer’s congruences in the analysis of the dynamical properties of planar relativistic systems in f[Formula: see text](R) geometry. To this end, we assume a relativistic distribution of matter contents whose gravitational effects would produce planar geometry. In order to relate matter ingredients seen by tilted and non-tilted observers, we have calculated particular theoretical relationships. After calculating dynamical, Ellis and transport equations, the pace of gravitational collapse as well as the corresponding stable epochs of the systems are discussed. The instability of non-comoving reference frame has been elaborated in a particular background.

Practical Realization of a Reference System for Earth Dynamics by Satellite Methods

1975 ◽  
Vol 26 ◽  
pp. 341-380 ◽  
Author(s):  
R. J. Anderle ◽  
M. C. Tanenbaum
Keyword(s):  
Reference Frame ◽  
Polar Motion ◽  
Pole Position ◽  
Control Points ◽  
Significant Information ◽  
Crustal Motion ◽  
Average Reference ◽  
Future Data ◽  
Existing Data

AbstractObservations of artificial earth satellites provide a means of establishing an.origin, orientation, scale and control points for a coordinate system. Neither existing data nor future data are likely to provide significant information on the .001 angle between the axis of angular momentum and axis of rotation. Existing data have provided data to about .01 accuracy on the pole position and to possibly a meter on the origin of the system and for control points. The longitude origin is essentially arbitrary. While these accuracies permit acquisition of useful data on tides and polar motion through dynamio analyses, they are inadequate for determination of crustal motion or significant improvement in polar motion. The limitations arise from gravity, drag and radiation forces on the satellites as well as from instrument errors. Improvements in laser equipment and the launch of the dense LAGEOS satellite in an orbit high enough to suppress significant gravity and drag errors will permit determination of crustal motion and more accurate, higher frequency, polar motion. However, the reference frame for the results is likely to be an average reference frame defined by the observing stations, resulting in significant corrections to be determined for effects of changes in station configuration and data losses.

How Do Task Instructions Alter the Spatial Reference Frame of Scene-Based Processing?

2011 ◽  
Author(s):  
Mark Mills ◽  
Stefan Van Der Stigchel ◽  
Andrew Hollingworth ◽  
Michael D. Dodd
Keyword(s):  
Reference Frame ◽  
Spatial Reference ◽  
Task Instructions ◽  
Spatial Reference Frame
Sign in / Sign up

Export Citation Format

Share Document