Equations of motion of a thin layer of fluid on the surface of a rotating body of revolution

1967 ◽  
Vol 6 (3) ◽  
pp. 68-69
Author(s):  
O. F. Vasil'ev ◽  
N. S. Khapilova
Keyword(s):  
Thin Layer ◽  
Equations Of Motion ◽  
Body Of Revolution ◽  
Rotating Body

Laminar Forced Convection Over Rotating Bodies

1974 ◽  
Vol 96 (4) ◽  
pp. 463-466 ◽  
Author(s):  
B. T. Chao ◽  
R. Greif
Keyword(s):  
Mass Transfer ◽  
Forced Convection ◽  
Schmidt Number ◽  
Surface Condition ◽  
Computational Procedure ◽  
Body Of Revolution ◽  
Nonuniform Surface ◽  
Rotating Body ◽  
Laminar Forced Convection ◽  
Rotating Bodies

A simple computational procedure is described for ascertaining the heat or mass transfer in laminar forced convection over a rotating body of revolution. The analysis is applicable to nonuniform surface condition and for fluids having a large or a moderate value of the Prandtl (Schmidt) number. Examples are given to illustrate the usefulness of the analysis as well as to expose its limitation.

scholarly journals Recent Progress on the Description of Relativistic Spin: Vector Model of Spinning Particle and Rotating Body with Gravimagnetic Moment in General Relativity

2017 ◽  
Vol 2017 ◽  
pp. 1-49 ◽  
Author(s):  
Alexei A. Deriglazov ◽  
Walberto Guzmán Ramírez
Keyword(s):  
General Relativity ◽  
Relativistic Quantum ◽  
Equations Of Motion ◽  
Three Dimensional ◽  
Theoretical Description ◽  
Vector Model ◽  
Relativistic Quantum Mechanics ◽  
Spinning Particle ◽  
Rotating Body ◽  
Relativistic Spin

We review the recent results on development of vector models of spin and apply them to study the influence of spin-field interaction on the trajectory and precession of a spinning particle in external gravitational and electromagnetic fields. The formalism is developed starting from the Lagrangian variational problem, which implies both equations of motion and constraints which should be presented in a model of spinning particle. We present a detailed analysis of the resulting theory and show that it has reasonable properties on both classical and quantum level. We describe a number of applications and show how the vector model clarifies some issues presented in theoretical description of a relativistic spin: (A) one-particle relativistic quantum mechanics with positive energies and its relation with the Dirac equation and with relativistic Zitterbewegung; (B) spin-induced noncommutativity and the problem of covariant formalism; (C) three-dimensional acceleration consistent with coordinate-independence of the speed of light in general relativity and rainbow geometry seen by spinning particle; (D) paradoxical behavior of the Mathisson-Papapetrou-Tulczyjew-Dixon equations of a rotating body in ultrarelativistic limit, and equations with improved behavior.

The forced flow of a thin layer of viscous fluid on a rotating sphere

1954 ◽  
Vol 224 (1157) ◽  
pp. 192-208 ◽  
Keyword(s):  
Viscous Fluid ◽  
Thin Layer ◽  
General Circulation ◽  
Equations Of Motion ◽  
Zonal Flow ◽  
Forced Flow ◽  
Trade Winds ◽  
Rotating Sphere ◽  
Low Latitudes ◽  
Method Of Solution

This paper is concerned with the motion, due to differential heating, of a thin layer of viscous fluid on a rotating sphere; the results are compared with the general circulation of the atmosphere. The method of solution consists in writing the equations of motion in nondimensional form and then expanding the solution in ascending powers of a small nondimensional geometrical parameter. Particular attention has been paid to the non-linear terms; it is found that their effect in middle and high latitudes is negligible, but in lower latitudes their presence radically alters the character of the motion. The effect of these terms is to give, in low latitudes, a zonal flow from east to west, corresponding to the trade winds on the earth, and in addition a subtropical region of descending air, centred at 25° N. The solution also displays the necessity for a momentum-transfer process in the atmosphere which is required in order to maintain the belt of easterlies.

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