Trinomial Expansion of Kinetic-Energy Coefficients for Ideal Fluid at Motion of Two Spheres Near Their Contact

2018 ◽  
Vol 63 (12) ◽  
pp. 517-520 ◽  
Author(s):  
S. V. Sanduleanu ◽  
A. G. Petrov
Keyword(s):  
2021 ◽  
Vol 164 ◽  
pp. 104201 ◽  
Author(s):  
Ramy Rashad ◽  
Federico Califano ◽  
Frederic P. Schuller ◽  
Stefano Stramigioli

Author(s):  
Dirar Rebah

This study proves the existence of a steady vortex ring of an ideal fluid in Poiseuille flow. The method that was used is a variational method proposed by Benjamin (Benjamin 1976 The alliance of practical and analytical insight into the nonlinear problems of fluid mechanics , vol. 503, pp. 8–29), in which a steady vortex ring can be obtained as a maximizer of a functional that is related to kinetic energy and the impulse over the set of rearrangements of a prescribed function.


2009 ◽  
Author(s):  
Alexander Petrov ◽  
Oleg Voinov ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras

2007 ◽  
Vol 51 (04) ◽  
pp. 338-342
Author(s):  
J. A. Sparenberg

The concept of virtual inertia of a body with a fixed shape translating in an ideal fluid can be used to describe the force needed to accelerate the body as well as the kinetic energy of the fluid. It is elucidated that this is not a useful possibility in general with respect to a body that has a time-dependent shape. However, for a restricted class of time-dependent shapes, which will be described, the accelerated "translation" of the body in a fluid can be treated analogously to the accelerated translation of a body with a fixed shape. Only bodies that do not shed vorticity are considered.


1993 ◽  
Vol 48 (5-6) ◽  
pp. 703-704 ◽  
Author(s):  
D. Lortz

Abstract The stability problem of a stationary circular flow of an ideal fluid between two coaxial cylinders is considered. It is shown that Rayleigh's circulation criterion is necessary and sufficient for the total kinetic energy of an axisymmetric disturbance to be bounded in time.


Author(s):  
A. D. Kozlov ◽  
Yu. P. Potekhina

Although joints with synovial cavities and articular surfaces are very variable, they all have one common peculiarity. In most cases, one of the articular surfaces is concave, whereas the other one is convex. During the formation of a joint, the epiphysis, which has less kinetic energy during the movements in the joint, forms a convex surface, whereas large kinetic energy forms the epiphysis with a concave surface. Basing on this concept, the analysis of the structure of the joints, allows to determine forces involved into their formation, and to identify the general patterns of the formation of the skeleton.


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