Derivative chain rule with four friends and a rotating platform

2021 ◽  
pp. 1-6
Author(s):  
Elmo Benedetto ◽  
Gerardo Iovane
Keyword(s):  
Chain Rule ◽  
Rotating Platform ◽  
Derivative Chain

LABORATORY STUDIES OF THE OF EDDY FORMATION IN ROTATING AND NON-ROTATING FLUID DUE TO SPATIALLY NON-UNIFORM WIND FORCING

2017 ◽  
Author(s):  
Dmitry Elkin ◽  
Dmitry Elkin ◽  
Andrey Zatsepin ◽  
Andrey Zatsepin
Keyword(s):  
Water Area ◽  
The Black Sea ◽  
Rotating Fluid ◽  
Rotating Platform ◽  
Cyclonic Vorticity ◽  
Dipole Structure ◽  
Air Jet ◽  
Vortex Dipole ◽  
Eddy Formation ◽  
Observation Results

Laboratory investigation of eddy formation mechanism due to spatially non-uniform wind impact was fulfilled. Experiment was provided in a cylindrical and a square form tank filled with homogeneous or stratified fluid and displaced on a rotating platform. In the absence of the platform rotation, an impact of the single air jet lead to the formation of a symmetric vortex dipole structure that occupied the whole water area in the tank. In the presence of the platform rotation, a compact anticyclonic eddy was formed in a part of the dipole with anticyclonic vorticity, while in a part with cyclonic vorticity no any compact eddy was observed. The laboratory results were successfully compared with the field observation results fulfilled in the at the Black Sea coastal zone near Gelendzhik.

scholarly journals The chain rule implies Tsirelson's bound: an approach from generalized mutual information

2012 ◽  
Vol 14 (11) ◽  
pp. 113037 ◽  
Author(s):  
Eyuri Wakakuwa ◽  
Mio Murao
Keyword(s):  
Mutual Information ◽  
Chain Rule

scholarly journals Integrated GNSS/IMU-Gyrocompass with Rotating IMU. Development and Test Results

2020 ◽  
Vol 12 (22) ◽  
pp. 3736
Author(s):  
Gennadiy Emel’yantsev ◽  
Oleg Stepanov ◽  
Aleksey Stepanov ◽  
Boris Blazhnov ◽  
Elena Dranitsyna ◽  
...  
Keyword(s):  
Inertial Measurement Unit ◽  
Fiber Optic ◽  
Measurement Unit ◽  
Prototype Model ◽  
Navigation Satellite ◽  
Test Results ◽  
Rotating Platform ◽  
Inertial Measurement ◽  
Urban Conditions ◽  
The Given

The paper presents the developed integrated GNSS/IMU gyrocompass which, unlike the existing systems, contains a single-axis rotating platform with two antennas installed on it and an inertial measurement unit with tactical grade fiber-optic gyros. It is shown that the proposed design provides attitude solution by observing the signals of only one navigation satellite. The structure of the integrated GNSS/IMU gyrocompass, its specific features and prototype model used in the tests are described. The given test results in urban conditions confirmed heading determination accurate to ±1.5° (3σ).

scholarly journals Relative space: space measurements on a rotating platform

2003 ◽  
Vol 24 (6) ◽  
pp. 563-573 ◽  
Author(s):  
Matteo Luca Ruggiero
Keyword(s):  
Rotating Platform

An experimental study of strongly nonlinear waves in a rotating system

1987 ◽  
Vol 177 ◽  
pp. 381-394 ◽  
Author(s):  
Dominique P. Renouard ◽  
Gabriel Chabert D'Hières ◽  
Xuizhang Zhang
Keyword(s):  
Equilibrium Shape ◽  
Scaling Law ◽  
Maximum Amplitude ◽  
Rotating Platform ◽  
Coriolis Parameter ◽  
Rotating System ◽  
Height Variation ◽  
Experimental Conditions ◽  
Strongly Nonlinear ◽  
The Right

The influence of rotation upon internal solitary waves is studied in a (10 m × 2 m × 0.6 m) channel located on the large rotating platform at Grenoble University. We observe an intumescence which moves along the right-hand side of the channel with respect to its direction of propagation. Along the side, once the intumescence reaches its equilibrium shape, the height variation of the interface with time is correctly described by the sech2 function, and the characteristic KdV scaling law linking the maximum amplitude and the wavelength along the side is fulfilled. The intumescence is a stable phenomenon which moves as a whole without deformation apart from the viscous damping. For identical experimental conditions, the amplitude of the intumescence along the side increases with increasing Coriolis parameter, and at a given period of rotation of the platform, the celerity along the side increases with increasing amplitude. But for identical conditions, we found that the celerity along the side is equal to the celerity that the wave would have for such conditions without rotation. The amplitude of the intumescence in a plane perpendicular to the wall decreases exponentially with increasing distance from the side, but the crest of the wave is curved backward.

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