scholarly journals Point vortices dynamics on a rotating sphere and modeling of global atmospheric vortices interaction

2020 ◽  
Vol 32 (10) ◽  
pp. 106605
Author(s):  
Igor I. Mokhov ◽  
Sergey G. Chefranov ◽  
Alexander G. Chefranov
Keyword(s):  
Point Vortices ◽  
Rotating Sphere ◽  
Atmospheric Vortices

Interacting dipole pairs on a rotating sphere

2008 ◽  
Vol 464 (2094) ◽  
pp. 1525-1541 ◽  
Author(s):  
Paul K Newton ◽  
Houman Shokraneh
Keyword(s):  
Coordinate System ◽  
Long Range ◽  
Nonlinear Equations ◽  
Unit Sphere ◽  
Point Vortices ◽  
Geodesic Motion ◽  
Rotating Sphere ◽  
Long Range Interactions ◽  
Geodesic Paths ◽  
Exchange Scattering

The evolution, interaction and scattering of 2 N point vortices grouped into equal and opposite pairs ( N -dipoles) on a rotating unit sphere are studied. A new coordinate system made up of centres of vorticity and centroids associated with each dipole is introduced. With these coordinates, the nonlinear equations for an isolated dipole diagonalize and one directly obtains the equation for geodesic motion on the sphere for the dipole centroid. When two or more dipoles interact, the equations are viewed as an interacting billiard system on the sphere—charged billiards—with long-range interactions causing the centroid trajectories to deviate from their geodesic paths. Canonical interactions are studied both with and without rotation. For two dipoles, the four basic interactions are described as exchange-scattering , non-exchange-scattering , loop-scattering (head on) and loop-scattering (chasing) interactions. For three or more dipoles, one obtains a richer variety of interactions, although the interactions identified in the two-dipole case remain fundamental.

scholarly journals Mass Transfer from a Rotating Sphere in Air Stream

1973 ◽  
Vol 37 (2) ◽  
pp. 151-157,a1 ◽  
Author(s):  
Hisaya Tanaka ◽  
Osamu Tago
Keyword(s):  
Mass Transfer ◽  
Rotating Sphere ◽  
Air Stream

Forced Convection Past a Rotating Sphere: Modeling Oxygen Transport to a Pond Snail Embryo

2013 ◽  
Vol 135 (12) ◽  
Author(s):  
D. A. Nield ◽  
A. V. Kuznetsov
Keyword(s):  
Forced Convection ◽  
Quantitative Study ◽  
Oxygen Transport ◽  
Oxygen Transfer ◽  
Pond Snail ◽  
Gaseous Exchange ◽  
Helisoma Trivolvis ◽  
Rotating Sphere

Helisoma trivolvis pond snail embryos are known for their rotation, which is induced by beating of cilia at the embryo's surface. A common hypothesis links this behavior to enhancing oxygen transfer to the embryo's surface. In this paper, this hypothesis is quantified, and the effect of the rotation on the supply of oxygen to an embryo, which is approximately spherical in shape, is studied. To the best of our knowledge, this is the first research presenting a quantitative study on the effect of an embryo's rotation on facilitating gaseous exchange between the embryo and the environment.

Two Dimensional Bright and Dark Magnetoexcitons Interacting with Quantum Point Vortices

2019 ◽  
Vol 53 (16) ◽  
pp. 2055-2059
Author(s):  
S. A. Moskalenko ◽  
V. A. Moskalenko ◽  
I. V. Podlesny ◽  
I. A. Zubac
Keyword(s):  
Point Vortices ◽  
Two Dimensional ◽  
Quantum Point

scholarly journals Lie reduction and exact solutions of vorticity equation on rotating sphere

2012 ◽  
Vol 376 (14) ◽  
pp. 1179-1184 ◽  
Author(s):  
Alexander Bihlo ◽  
Roman O. Popovych
Keyword(s):  
Exact Solutions ◽  
Vorticity Equation ◽  
Rotating Sphere

scholarly journals Stability of differentially heated flow from a rotating sphere

2016 ◽  
Vol 291 ◽  
pp. 209-224 ◽  
Author(s):  
S.J.D. D’Alessio ◽  
N. Leung ◽  
J.W.L. Wan
Keyword(s):  
Rotating Sphere

scholarly journals Experimental investigation of the wake behind a rotating sphere

2018 ◽  
Vol 3 (1) ◽  
Author(s):  
M. Skarysz ◽  
J. Rokicki ◽  
S. Goujon-Durand ◽  
J. E. Wesfreid
Keyword(s):  
Experimental Investigation ◽  
Rotating Sphere

The aerodynamic resistance to a sphere rotating at high Mach numbers in the rarefied transition régime

1966 ◽  
Vol 293 (1433) ◽  
pp. 156-168 ◽  
Keyword(s):  
Experimental Study ◽  
Aerodynamic Resistance ◽  
Pressure Gauge ◽  
Transition Regime ◽  
Drag Torque ◽  
Free Molecule ◽  
Rotating Sphere ◽  
Mach Numbers ◽  
High Mach ◽  
Molecule Flow

An experimental study has been made of the gaseous drag torque on an isolated sphere rotating at high Mach numbers. The sphere was suspended electromagnetically and spun by induction. The drag torque has been measured through the transition régime from continuum to free molecule flow at Mach numbers (based on equatorial speed) of up to about five. These high Mach numbers were achieved in heavy vapours (diiodomethane, germanium tetrabromide and stannic bromide) with sonic speed as little as a quarter of that in air. To measure the pressure in the vapour a second (smaller) rotating sphere was used as a pressure gauge. The results agree well with those previously obtained and show an unexpected Mach number dependence in the transition régime.

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