scholarly journals Turbulent structures in cylindrical density currents in a rotating frame of reference

2018 ◽  
Vol 19 (6) ◽  
pp. 463-492 ◽  
Author(s):  
Jorge S. Salinas ◽  
Mariano I. Cantero ◽  
Enzo A. Dari ◽  
Thomas Bonometti
Keyword(s):  
Frame Of Reference ◽  
Rotating Frame ◽  
Density Currents ◽  
Turbulent Structures

scholarly journals Stability of Periodic Planetary-Type Orbits of the General Planar N-Body Problem

1979 ◽  
Vol 81 ◽  
pp. 23-28
Author(s):  
John D. Hadjidemetriou
Keyword(s):  
Periodic Orbits ◽  
Body Problem ◽  
Frame Of Reference ◽  
Rotating Frame ◽  
N Body Problem ◽  
Families Of Periodic Orbits ◽  
Special Case

It is known that families of periodic orbits in the general N-body problem (N≥3) exist, in a rotating frame of reference (Hadjidemetriou 1975, 1977). A special case of the above families of periodic orbits are the periodic orbits of the planetary type. In this latter case only one body, which we shall call sun, is the more massive one and the rest N-1 bodies, which we shall call planets, have small but not negligible masses. The aim of this paper is to study the properties of the families of periodic planetary-type orbits, with particular attention to stability. To make the presentation clearer, we shall start first with the case N=3 and we shall extend the results to N>3. We shall discuss planar orbits only.

Flow by a Porous Shrinking Surface in a Rotating Frame

2010 ◽  
Vol 65 (1-2) ◽  
pp. 45-52 ◽  
Author(s):  
Tasawar Hayat ◽  
Sania Iram ◽  
Tariq Javed ◽  
Saleem Asghar
Keyword(s):  
Differential Equations ◽  
Series Solution ◽  
Porous Plate ◽  
Frame Of Reference ◽  
Rotating Frame ◽  
Analysis Method ◽  
Homotopy Analysis ◽  
Derived Series ◽  
Shrinking Surface

AbstractWe derive series solution of a nonlinear problem which models the magnetohydrodynamic (MHD) shrinking flow due to a porous plate in a rotating frame of reference. The governing partial differential equations are first converted into ordinary differential equations and then solved by homotopy analysis method. The convergence of the derived series solution is carefully analyzed. Graphical results are presented to examine the role of various interesting parameters.

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